Academic literature on the topic 'Lagrangian study'

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Journal articles on the topic "Lagrangian study"

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ROMÁN-ROY, NARCISO, MODESTO SALGADO, and SILVIA VILARIÑO. "SYMMETRIES AND CONSERVATION LAWS IN THE GÜNTHER k-SYMPLECTIC FORMALISM OF FIELD THEORY." Reviews in Mathematical Physics 19, no. 10 (November 2007): 1117–47. http://dx.doi.org/10.1142/s0129055x07003188.

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This paper is devoted to studying symmetries of k-symplectic Hamiltonian and Lagrangian first-order classical field theories. In particular, we define symmetries and Cartan symmetries and study the problem of associating conservation laws to these symmetries, stating and proving Noether's theorem in different situations for the Hamiltonian and Lagrangian cases. We also characterize equivalent Lagrangians, which lead to an introduction of Lagrangian gauge symmetries, as well as analyzing their relation with Cartan symmetries.
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PAVLOTSKY, I. P., and M. STRIANESE. "SOME PECULIAR PROPERTIES OF THE DARWIN’S LAGRANGIAN." International Journal of Modern Physics B 09, no. 23 (October 20, 1995): 3069–83. http://dx.doi.org/10.1142/s0217979295001166.

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In the post-Galilean approximation the Lagrangians are singular on a submanifold of the phase space. It is a local singularity, which differs from the ones considered by Dirac. The dynamical properties are essentially peculiar on the studied singular surfaces. In the preceding publications,1,2,3 two models of singular relativistic Lagrangians and the rectilinear motion of two electrons, determined by Darwin’s Lagrangian, were examined. In the present paper we study the peculiar dynamical properties of the two-dimensional Darwin’s Lagrangian. In particular, it is shown that the minimal distance between two electrons (the so called “radius of electron”) appears in the two-dimensional motion as well as in one-dimensional case. Some new peculiar properties are discovered.
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Obaidullah, U., and Sameerah Jamal. "pp-wave potential functions: A complete study using Noether symmetries." International Journal of Geometric Methods in Modern Physics 18, no. 07 (March 18, 2021): 2150108. http://dx.doi.org/10.1142/s0219887821501085.

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In this paper, we examine the functional forms of the potentials [Formula: see text] that emerge from the Lagrangian of the pp-wave spacetime. To facilitate this investigation, Noether symmetries are employed as well as their linear combinations and subalgebras. We exploit the geometric fact that Noether point symmetries of geodesic Lagrangians are generated from the Homothetic algebra of spacetimes. Thus, we provide a complete analysis of the potentials of this spacetime, which are split into 14 isometry categories.
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BUHOVSKY, LEV. "THE MASLOV CLASS OF LAGRANGIAN TORI AND QUANTUM PRODUCTS IN FLOER COHOMOLOGY." Journal of Topology and Analysis 02, no. 01 (March 2010): 57–75. http://dx.doi.org/10.1142/s1793525310000240.

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We use Floer cohomology to prove the monotone version of a conjecture of Audin: the minimal Maslov number of a monotone Lagrangian torus in ℝ2n is 2. Our approach is based on the study of the quantum cup product on Floer cohomology and in particular the behavior of Oh's spectral sequence with respect to this product. As further applications, we prove existence of holomorphic disks with boundaries on Lagrangians as well as new results on Lagrangian intersections.
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Hirica, Iulia, Constantin Udriste, Gabriel Pripoae, and Ionel Tevy. "Least Squares Approximation of Flatness on Riemannian Manifolds." Mathematics 8, no. 10 (October 13, 2020): 1757. http://dx.doi.org/10.3390/math8101757.

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The purpose of this paper is fourfold: (i) to introduce and study the Euler–Lagrange prolongations of flatness PDEs solutions (best approximation of flatness) via associated least squares Lagrangian densities and integral functionals on Riemannian manifolds; (ii) to analyze some decomposable multivariate dynamics represented by Euler–Lagrange PDEs of least squares Lagrangians generated by flatness PDEs and Riemannian metrics; (iii) to give examples of explicit flat extremals and non-flat approximations; (iv) to find some relations between geometric least squares Lagrangian densities.
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Singh, Bhupendra, Ranjit Kumar, and Loukrakpam Kennedy Meitei. "A Study of Non-Canonical Lagrangian." Natural Science 08, no. 05 (2016): 211–15. http://dx.doi.org/10.4236/ns.2016.85024.

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Naz, R., I. Naeem, and F. M. Mahomed. "First Integrals for Two Linearly Coupled Nonlinear Duffing Oscillators." Mathematical Problems in Engineering 2011 (2011): 1–14. http://dx.doi.org/10.1155/2011/831647.

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We investigate Noether and partial Noether operators of point type corresponding to a Lagrangian and a partial Lagrangian for a system of two linearly coupled nonlinear Duffing oscillators. Then, the first integrals with respect to Noether and partial Noether operators of point type are obtained explicitly by utilizing Noether and partial Noether theorems for the system under consideration. Moreover, if the partial Euler-Lagrange equations are independent of derivatives, then the partial Noether operators become Noether point symmetry generators for such equations. The difference arises in the gauge terms due to Lagrangians being different for respective approaches. This study points to new ways of constructing first integrals for nonlinear equations without regard to a Lagrangian. We have illustrated it here for nonlinear Duffing oscillators.
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Mason, Evan, Francois Colas, and Josep L. Pelegrí. "A Lagrangian study tracing water parcel origins in the Canary Upwelling System." Scientia Marina 76, S1 (August 31, 2012): 79–94. http://dx.doi.org/10.3989/scimar.03608.18d.

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BALACHANDRAN, A. P., G. BIMONTE, and P. TEOTONIO-SOBRINHO. "EDGE STATES IN 4D AND THEIR 3D GROUPS AND FIELDS." Modern Physics Letters A 08, no. 14 (May 10, 1993): 1305–13. http://dx.doi.org/10.1142/s0217732393001033.

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It is known that the Lagrangian for the edge states of a Chern-Simons theory describes a coadjoint orbit of a Kac-Moody (KM) group with its associated Kirillov symplectic form and group representation. It can also be obtained from a chiral sector of a non-chiral field theory. We study the edge states of the Abelian BF system in four dimensions (4D) and show the following results in almost exact analogy: 1) The Lagrangian for these states is associated with a certain 2D generalization of the KM group. It describes a coadjoint orbit of this group as a Kirillov symplectic manifold and also the corresponding group representation. 2) It can be obtained from with a "self-dual" or "anti-self-dual" sector of a Lagrangian describing a massless scalar and a Maxwell field (the phrase "self-dual" here being used essentially in its sense in monopole theory). There are similar results for the non-Abelian BF system as well. These shared features of edge states in 3D and 4D suggest that the edge Lagrangians for BF systems are certain natural generalizations of field theory Lagrangians related to KM groups.
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Li, Jiayu, and Yongbing Zhang. "Lagrangian F-stability of closed Lagrangian self-shrinkers." Journal für die reine und angewandte Mathematik (Crelles Journal) 2017, no. 733 (December 1, 2017): 1–23. http://dx.doi.org/10.1515/crelle-2015-0002.

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AbstractIn this paper we study the Lagrangian F-stability of closed Lagrangian self-shrinkers in complex Euclidean space. We show that any closed Lagrangian self-shrinker with first Betti number greater than one is Lagrangian F-unstable. For a closed Lagrangian self-shrinker with first Betti number equal to one, we show that Lagrangian F-stability is equivalent to Hamiltonian F-stability. We also characterize Hamiltonian F-stability of a closed Lagrangian self-shrinker by its spectral property of a drift Laplacian.
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Dissertations / Theses on the topic "Lagrangian study"

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McAufield, Ewa Katarzyna. "Lagrangian study of the Southern Ocean circulation." Thesis, University of Cambridge, 2019. https://www.repository.cam.ac.uk/handle/1810/288743.

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The Southern Ocean is an important region for the sequestration of heat, carbon dioxide and other tracers. The Southern Ocean circulation is typically described in a circumpolarly averaged sense as a Meridional Overturning Circulation (MOC), but the detailed 3-D pathways that make up this circulation remain poorly understood. We use Lagrangian particle trajectories, obtained from eddy permitting numerical models, to map out and quantify different aspects of the 3-D circulation. We first introduce various definitions used to quantify efficient export from the Antarctic Circumpolar Current (ACC) to the subtropical gyres. Using these definitions, we show that the permanent northward export varies by water mass and occurs in localised regions; with 11 key pathways identified. We then examine the dynamics setting the location and efficiency of the identified pathways, which includes the investigation of the role of diapycnal mixing and the impact of short and long time variability in the flow. Although we show that the flow of particles in the 3-D model is predominantly isopycnal, we find that particles that are forced to remain on isopycnals lead to approx. 60% lower export (mainly via three pathways) than identical releases where the diapycnal component of advection is included. Enhanced upward mixing near rough topography, and downward mixing in the southeast Pacific, were shown to be mostly responsible for the export. In addition, we show that most of the export pathways are mainly influenced by timescales from 90 days to 20 years, which suggests that mesoscale eddies are not the leading-order importance in the northward export from the ACC to the subtropical gyres. However, we also find that mesoscale eddies and the mean-ACC flow play a significant role in setting the export from the ACC in some pathways. These results highlight the role of temporal variability and vertical transport in enhancing the northward flow from the ACC by allowing transport across barotropic streamlines and onto more efficiently exporting isopycnals. In addition, the asymmetrical response of the studied quantities emphasises the importance of the three dimensions in understanding the dynamics driving the overturning circulation. We also demonstrated that the annually repeating velocity fields, which are commonly used for trajectory calculations, increase the diapycnal transport of particles and as a consequence, increase the overall 20-year northward export from the ACC by approx. 10%. In the study of the meridional overturning circulation, we diagnose the geographical distribution of the streamwise averaged diffusivity calculated from meridional displacements of the Lagrangian particles. We examine streamwise averaging using both latitude and equivalent latitude and argue that the latter gives a more useful measure. Reconciling tracer and particle horizontal diffusivities, we show that in the ACC, the average diffusivity peaks between 1500m and 2500m with an average value of 1500 m$^{2}$/s and that it is highest near the topographic features. We compare the exact diffusivity and its approximation to show that an assumption of time homogeneity does not hold and therefore that standard expressions for diffusivity that assume time homogeneity are of limited usefulness. Finally, we use the calculated trajectories to provide a streamwise averaged 2-D advection-diffusion model of the Southern Ocean MOC and then examine the extent to which this 2-D model can capture the overall effect of the actual 3-D transport.
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Fiorentino, Laura A. "Using Lagrangian Coherent Structures to Study Coastal Water Quality." Scholarly Repository, 2011. http://scholarlyrepository.miami.edu/oa_theses/267.

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In order to understand water quality in the coastal ocean and its effects on human health, the necessity arises to locate the sources of contaminants and track their transport throughout the ocean. Dynamical systems methods are applied to the study of transport of enterococci as an indicator of microbial concentration in the vicinity of Hobie Beach, an urban, subtropical beach in Miami, FL that is used for recreation and bathing on a daily basis. Previous studies on water quality have shown that Hobie Beach has high microbial levels despite having no known point source. To investigate the cause of these high microbial levels, a combination of measured surface drifter trajectories and numerically simulated flows in the vicinity of Hobie Beach is used. The numerically simulated flows are used to identify Lagrangian Coherent Structures (LCSs), which provide a template for transport in the study area. Surface drifter trajectories are shown to be consistent with the simulated flows and the LCS structure. LCSs are then used to explain the persistent water contamination and unusually high concentrations of microbes in the water off of this beach as compared with its neighboring beaches. From the drifter simulations, as well as field experiments, one can see that passive tracers are trapped in the area along the coastline by LCS. The Lagrangian circulation of Hobie Beach, influenced primarily by tide and land geometry causes a high retention rate of water near the shore, and can be used to explain the elevated levels of enterococci in the water.
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Mitarai, Satoshi. "A Lagrangian study of chemical reaction in isotropic turbulence /." Thesis, Connect to this title online; UW restricted, 2004. http://hdl.handle.net/1773/7050.

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Polanco, Juan Ignacio. "Lagrangian properties of turbulent channel flow : a numerical study." Thesis, Lyon, 2019. http://www.theses.fr/2019LYSE1043/document.

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La perspective lagrangienne, décrivant un écoulement selon les trajectoires de traceurs fluides, est une approche naturelle pour étudier les phénomènes de dispersion dans les écoulements turbulents. En turbulence de paroi, le mouvement des traceurs est influencé par le cisaillement moyen et par une forte inhomogénéité et anisotropie en proche paroi. On étudie les propriétés lagrangiennes d’un écoulement de canal turbulent par simulation numérique directe à un nombre de Reynolds modéré. Les statistiques d’accélération lagrangienne sont comparées aux expériences de suivi de particules réalisées en parallèle à ce travail. Comme en turbulence homogène isotrope (THI), les composantes d’accélération le long des trajectoires lagrangiennes se décorrèlent sur des temps comparables aux plus petites échelles de l’écoulement, tandis que la norme de l’accélération reste corrélée plus longtemps. La persistance d’anisotropie à petite échelle loin de la paroi est constatée par l’existence d’une corrélation croisée non nulle entredeux composantes de l’accélération. On montre que, en conséquence des flux moyens d’énergie cinétique en turbulence de paroi, près des parois les traceurs se déplacent et s’étalent sur des plus grandes distances quand ils sont suivis en arrière dans le temps qu’en avant. La dispersion relative de paires de traceurs est aussi étudiée. Aux temps courts, la séparation des paires est balistique pour toutes les distances à la paroi. Comme en THI, les traceurs se séparent plus rapidement lorsqu’ils sont suivis en arrière dans le temps. Aux temps plus longs, le cisaillement moyen accélère la séparation dans la direction de l’écoulement moyen. Un modèle de cascade balistique initialement proposé pour la THI est adapté aux écoulements inhomogènes
The Lagrangian perspective, describing a flow from the trajectories of fluid tracers, isa natural framework for studying dispersion phenomena in turbulent flows. In wall-boundedturbulence, the motion of fluid tracers is affected by mean shear and by strong inhomogeneityand anisotropy near walls. We investigate the Lagrangian properties of a turbulent channel flowusing direct numerical simulations at a moderate Reynolds number. Lagrangian accelerationstatistics are compared to particle tracking experiments performed in parallel to this work. Asin homogeneous isotropic turbulence (HIT), the acceleration components along Lagrangianpaths decorrelate over time scales representative of the smallest scales of the flow, while theacceleration norm stays correlated for much longer. The persistence of small-scale anisotropy farfrom the wall is demonstrated in the form of a non-zero cross-correlation between accelerationcomponents. As a result of the average fluxes of kinetic energy in wall turbulence, tracers initiallylocated close to the wall travel and spread over longer distances when tracked backwardsin time than forwards. The relative dispersion of tracer pairs is finally investigated. At shorttimes, pair separation is ballistic for all wall distances. As in HIT, relative dispersion is timeasymmetric, with tracers separating faster when tracked backwards in time. At longer times,mean shear dominates leading to rapid separation in the mean flow direction. A ballisticcascade model previously proposed for HIT is adapted to inhomogeneous flows
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Maldonado-Villanueva, Sergio. "Quasi 2-layer morphodynamic model and Lagrangian study of bedload." Thesis, University of Edinburgh, 2016. http://hdl.handle.net/1842/19574.

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Conventional morphodynamic models are typically based on a coupled system of hydrodynamic equations, a bed-update equation, and a sediment-transport equation. However, the sediment-transport equation is almost invariably empirical, with numerous options available in the literature. Bed morphological evolution predicted by a conventional model can be very sensitive to the choice of sediment-transport formula. This thesis presents a physics-based model, where the shallow water-sediment-mixture flow is idealised as being divided into two layers of variable (in time and space) densities: the lower layer concerned with bedload transport, and the upper layer representing sediment in suspension. The model is referred to as a Quasi-2-Layer (Q2L) model in order to distinguish it from typical 2-Layer models representing stratified flow by two layers of different but constant and uniform densities. The present model, which does not require the selection of a particular empirical formula for sediment transport rates, is satisfactorily validated against widely used empirical expressions for bedload and total transport rates. Analytical solutions to the model are derived for steady uniform flow over an erodible bed. Case studies show that the Q2L model, in contrast to conventional morphodynamic approaches, yields more realistic results by inherently including the influence of the bed slope on the sediment transport. This conclusion is validated against experimental data from a steep sloping duct. An analytical study using the Q2L model investigates the influence of bed-slope on bedload transport; the resulting expressions are in turn used to modify empirical sediment transport formulae (derived for horizontal beds) in order to render them applicable to arbitrary stream-wise slopes. The Q2L model provides an alternative approach to studying sediment-transport phenomena, whose adequate analysis cannot be undertaken following coniv ventional approaches without further increasing their degree of empiricism. The Q2L model can also lead to the enhancement of conventional morphodynamic models. For coarse sediments and/or relatively low flow velocities, bedload transport is usually responsible for most sediment transport. Bedload transport consists of a combination of particles rolling, sliding and saltating (hopping) along the bed. Hence, saltation models provide considerable insight into near-bed sediment transport. This thesis also presents an analysis of the statistics and mechanics of a saltating particle model. For this purpose, a mathematically simple, computationally efficient, stochastic Lagrangian model has been derived. This model is validated satisfactorily against previously published experimental data on saltation. The model is then employed to derive two criteria aimed at ensuring that statistically convergent results are achieved when similar saltation models are employed. According to the first criterion, 103 hops should be simulated, whilst 104 hops ought to be considered according to the second criterion. This finding is relevant given that previous studies report results after only a few hundred, or less, particle hops have been simulated. The model also investigates sensitivity to the lift force formula, the friction coefficient, and the collision line level. A method is proposed by which to estimate the bedload sediment concentration and transport rate from particle saltation characteristics. This method yields very satisfactory results when compared against widely used empirical expressions for bedload transport, especially when contrasted against previously published saltation-based expressions.
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Thomas, Karen. "A Lagrangian study of the diurnal heating of the Upper Ocean." Thesis, University of Southampton, 1986. https://eprints.soton.ac.uk/427132/.

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(UPC), Universidad Peruana de Ciencias Aplicadas, J. Yarasca, J. L. Mantari, and R. A. Arciniega. "Hermite–Lagrangian finite element formulation to study functionally graded sandwich beams." Elsevier B.V, 2016. http://hdl.handle.net/10757/607194.

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This paper presents a static analysis of functionally graded single and sandwich beams by using an efficient 7DOFs quasi-3D hybrid type theory. The governing equations are derived by employing the principle of virtual works in a weak form and solved by means of the Finite Element Method (FEM). A C1 cubic Hermite interpolation is used for the vertical deflection variables while C0 linear interpolation is employed for the other kinematics variables. Convergence rates are studied in order to validate the finite element technique. Numerical results of the present formulation are compared with analytical and FEM solutions available in the literature.
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Xu, Danya. "Lagrangian Study of Particle Transport Processes in the Coastal Gulf of Maine." Fogler Library, University of Maine, 2008. http://www.library.umaine.edu/theses/pdf/XuD2008.pdf.

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Sadjadi, Seyed Jafar. "Nonlinear programming using an expanded Lagrangian function, a water resources management case study." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape15/PQDD_0014/NQ30640.pdf.

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García, de Herreros Miciano María. "Feasibility study of the implementation of a space sunshade near the first Lagrangian point." Thesis, KTH, Rymdteknik, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-280140.

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The lack of strong measures to avoid the possible fatal consequences of global warming is pushing researchers to look for other alternatives such as geoengineering.Within geoengineering, this study focuses on the space based solar radiation management methods. More precisely, the project evaluates the feasibilityof implementing a space sun shade near the first Lagrangian point in the Sun-Earth system within a thirty year period time from now. The study isstructured in three main blocks: spacecraft configuration, trajectory definition and launch. An analysis looking at the minimum cost system was carried out,starting with the definition of the mass and size of spacecraft. Furthermore, an optimization of the trajectory was developed in order to minimize the traveltime to the vicinity of the Lagrangian point. The shades will be formed by swarms of 10 000m2 solar sails that will cover an area of 6:3 x 1012 m2 witha total mass of around 5:7 x 1010 kg. The sails will be injected into a LEO and will start a trajectory to the vicinity of the first Lagrangian point that willtake around 2.3 years. The total cost of the project is approximated to be 10 trillion dollars. The mission appears to be feasible from a technological pointof view, with some development needed in the attitude control subsystem. The main challenge will be the launch of all the spacecraft. A space mission of thisdimensions has never been attempted before so it will require a big advance from the launch vehicle industry.
Bristen på åtgärder för att undvika de konsekvenser som den globala uppvärmingen leder till, har drivit forskare att leta efter alternativa lösningar, varav geoengineering är en av dem. Denna studie fokuserar på rymdbaserade strålhanteringsmetoder, mer specifikt på hur huruvida implementationer av solparasoller nära Lagrangepunkten L1 i sol-jord-systemet är möjlig eller ej. Studien är strukturerad i tre huvudsakliga block: rymdskeppskonfiguration, banadefinition och uppskjutning. Med målet att minimera kostnaderna, definierades rymdskeppets utforming, massa och storlek. Vidare så, optimerades vägen till närheten av L1 med avseende på att minimera tiden. Solparasollerna kommer vara placerade i svärmar med en area på 10 000m2 vardera, totalt kommer solparasollerna att täcka en yta av 6:3 x 1012 m2 med en total massa på 5:7 x 1010 kg. Solparasollerna kommer skjutas upp till LEO och därefter starta sin resa till närheten av L1, vilket kommer ta cirka 2.3 år. Totala kostanden för projektet uppskattas till 10 billioner dollar. Efter genomförd studie visades projektet vara genomförbart sett från en teknisk synvinkel, men vidare studier behövs göras för att utveckla och fastställa styrsystemet. Huvudutmaningen kommer att vara uppskjutningen av rymdskeppen, då det kräver stora framsteg och utveckling inom rymdindustrin.
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Books on the topic "Lagrangian study"

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Casalbuoni, Roberto, Giovanni Frosali, and Giuseppe Pelosi, eds. Enrico Fermi a Firenze. Florence: Firenze University Press, 2014. http://dx.doi.org/10.36253/978-88-6655-673-2.

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Enrico Fermi – Premio Nobel per la Fisica nel 1938 – ha insegnato alla Regia Università degli Studi di Firenze. La permanenza di Fermi a Firenze fu breve, solo due anni accademici (1924-25 e 1925-26); in questi anni tenne i corsi di «Fisica Matematica» e di «Meccanica Razionale». Il presente volume è un contributo alla ricostruzione di questo periodo non molto noto della vita di Fermi, ma segnato scientificamente dalla pubblicazione della statistica che prende il suo nome, base tra l’altro della fisica dei semiconduttori e quindi dell’elettronica moderna. Vengono anche riprodotte nel testo le «Lezioni di Meccanica Razionale» tenute da Enrico Fermi nel periodo predetto agli studenti di Scienze e del biennio propedeutico agli studi di Ingegneria. I temi affrontati da Enrico Fermi nelle sue lezioni includono la cinematica e la dinamica del punto, la cinematica e la statica dei sistemi rigidi, inclusa la statica di sistemi più in generale. Infine le lezioni contengono le equazioni di «Lagrangia» e alcuni elementi di idromeccanica. Questo libro inaugura una collana di pubblicazioni associata alla rivista «Il Colle di Galileo» della Firenze University Press.
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Casalbuoni, Roberto, Daniele Dominici, and Giuseppe Pelosi, eds. Enrico Fermi a Firenze. Florence: Firenze University Press, 2020. http://dx.doi.org/10.36253/978-88-6453-960-7.

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Enrico Fermi – Premio Nobel per la Fisica nel 1938 – ha insegnato alla Regia Università degli Studi di Firenze. La permanenza di Fermi a Firenze fu breve, solo due anni accademici (1924/25 e 1925/26); in questi anni tenne i corsi di «Fisica Matematica» e di «Meccanica Razionale». Il presente volume è un contributo alla ricostruzione di questo periodo non molto noto della vita di Fermi, ma segnato scientificamente dalla pubblicazione della statistica che prende il suo nome e che porterà Fermi alla ribalta internazionale, grazie alle applicazioni della statistica nei settori più disparati della fisica. Questo lavoro è alla base, tra l’altro, della fisica dei semiconduttori e quindi dell’elettronica moderna. Vengono anche riprodotte nel testo le «Lezioni di Meccanica Razionale» tenute da Enrico Fermi nel periodo predetto agli studenti di Scienze e del biennio propedeutico agli studi di Ingegneria. I temi affrontati da Enrico Fermi nelle sue lezioni includono la cinematica e la dinamica del punto, la cinematica e la statica dei sistemi rigidi, inclusa la statica di sistemi più in generale. Infine le lezioni contengono le equazioni di 'Lagrangia' e alcuni elementi di idromeccanica.
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Masamichi, Inoue, United States. Minerals Management Service. Gulf of Mexico OCS Region, and Coastal Marine Institute (Baton Rouge, La.), eds. Lagrangian study of circulation, transport, and vertical exchange in the Gulf of Mexico. [New Orleans, La.]: U.S. Dept. of the Interior, Minerals Management Service, Gulf of Mexico OCS Region, 2002.

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Baulieu, Laurent, John Iliopoulos, and Roland Sénéor. Some Consequences of the Renormalisation Group. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788393.003.0019.

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The use of the renormalisation group and the Callan–Symanzik equations in the study of the asymptotic behaviour of Green functions. The stability properties of a Lagrangian field theory. The phenomenon of dimensional transmutation.
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Sorrentino, Alfonso. The Hamilton-Jacobi Equation and Weak KAM Theory. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691164502.003.0005.

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This chapter describes another interesting approach to the study of invariant sets provided by the so-called weak KAM theory, developed by Albert Fathi. This approach can be considered as the functional analytic counterpart of the variational methods discussed in the previous chapters. The starting point is the relation between KAM tori (or more generally, invariant Lagrangian graphs) and classical solutions and subsolutions of the Hamilton–Jacobi equation. It introduces the notion of weak (non-classical) solutions of the Hamilton–Jacobi equation and a special class of subsolutions (critical subsolutions). In particular, it highlights their relation to Aubry–Mather theory.
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Deruelle, Nathalie, and Jean-Philippe Uzan. Interacting charges II. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0039.

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This chapter continues the discussion from the previous chapter. The motion of a charge (m,q) in the field of another charge (m′,q′) and in its own field can now be studied in the lowest orders of the velocities directly using the equation of motion obtained in the preceding chapter. However, the features of this motion are revealed more easily by deriving them from the Darwin Lagrangian. This allows for a rigorous establishment of a balance between the energy radiated by the system and the mechanical energy lost by the system. The chapter concludes this general study of the electromagnetic radiation of a system of charges by outlining the ‘post-Minkowski’ approach based on iteration in the ‘coupling constant’ qq′ rather than in the velocities.
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Deruelle, Nathalie, and Jean-Philippe Uzan. The law of gravitation. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0011.

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This chapter embarks on the study of Newton’s law of gravitation. It first discusses gravitational mass and inertial mass, a measure of the ‘resistance’ of the point particle to an applied force. The numerical value of the inertial mass of a body can in principle be obtained from collision experiments by assigning to a reference body a unit inertial mass of one kilogram or, more rigorously, one ‘inertial kilogram’. Next, the chapter considers the ratio of gravitational and inertial masses. It considers that, in the absence of friction, all objects, no matter what their inertial mass, or the nature of their constituents, or the internal energy or cohesive forces of their constituents, fall in the same way in an external gravitational field. Finally, this chapter studies Newton’s gravitational force and field, as well as the Poisson equation and the gravitational Lagrangian.
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Tiwari, Sandip. Electromechanics and its devices. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198759874.003.0005.

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Electromechanics—coupling of mechanical forces with others—exhibits a continuum-to-discrete spectrum of properties. In this chapter, classical and newer analysis techniques are developed for devices ranging from inertial sensors to scanning probes to quantify limits and sensitivities. Mechanical response, energy storage, transduction and dynamic characteristics of various devices are analyzed. The Lagrangian approach is developed for multidomain analysis and to bring out nonlinearity. The approach is extended to nanoscale fluidic systems where nonlinearities, fluctuation effects and the classical-quantum boundary is quite central. This leads to the study of measurement limits using power spectrum and, correlations with slow and fast forces. After a diversion to acoustic waves and piezoelectric phenomena, nonlinearities are explored in depth: homogeneous and forced conditions of excitation, chaos, bifurcations and other consequences, Melnikov analysis and the classic phase portaiture. The chapter ends with comments on multiphysics such as of nanotube-based systems and electromechanobiological biomotor systems.
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Book chapters on the topic "Lagrangian study"

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Lakshminarayanan, Vasudevan, Ajoy K. Ghatak, and K. Thyagarajan. "The Optical Hamiltonian and Study of Paraxial Lens Optics." In Lagrangian Optics, 93–106. Boston, MA: Springer US, 2002. http://dx.doi.org/10.1007/978-1-4615-1711-5_6.

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Prants, Sergey V., Michael Yu Uleysky, and Maxim V. Budyansky. "Lagrangian Tools to Study Transport and Mixing in the Ocean." In Lagrangian Oceanography, 95–115. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-53022-2_4.

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Delgado López, Rafael. "Chiral EW Lagrangian." In Study of the Electroweak Symmetry Breaking Sector for the LHC, 15–30. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-60498-5_2.

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Anagnostopoulos, J., and G. Bergeles. "Numerical Study of Particle-Laden Jets: A Lagrangian Approach." In Mathematical Modeling in Combustion and Related Topics, 345–54. Dordrecht: Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-009-2770-4_20.

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Feng, Sheng-yang, Hong-quan Li, Xiang-yang Li, Yong Liu, and Zhi Chen. "Coupled Eulerian-Lagrangian Modeling to Study the Long-Runout Landslide: A Case Study." In Tunneling in Soft Ground, Ground Conditioning and Modification Techniques, 242–53. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-95783-8_20.

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Wang, Gai-Ge, Amir H. Gandomi, and Amir H. Alavi. "Study of Lagrangian and Evolutionary Parameters in Krill Herd Algorithm." In Adaptation, Learning, and Optimization, 111–28. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-14400-9_5.

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Muela, J., O. Lehmkuhl, and A. Oliva. "Study of Stochastic Models for Subgrid Dispersion in Lagrangian-Eulerian Formulation." In Direct and Large-Eddy Simulation X, 235–42. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-63212-4_29.

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Lee, C. H., K. Squires, J. P. Bertoglio, and J. Ferziger. "Study of Lagrangian Characteristic times Using Direct Numerical Simulation of Turbulence." In Turbulent Shear Flows 6, 58–67. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-73948-4_6.

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Chaichian, Masud, Ioan Merches, and Anca Tureanu. "Applications of the Lagrangian Formalism in the Study of Discrete Particle Systems." In Mechanics, 97–162. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-17234-2_3.

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Bermejo, Rodolfo. "Eulerian versus semi-Lagrangian schemes in some ocean circulation problems: a preliminary study." In Ocean Circulation and Pollution Control — A Mathematical and Numerical Investigation, 55–73. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18780-3_4.

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Conference papers on the topic "Lagrangian study"

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Hall, Lawrence J. "Probing The Effective Flavor Lagrangian of GUTS." In Proceedings of the 1993 Theoretical Advanced Study Institute in Elementary Particle Physics. WORLD SCIENTIFIC, 1994. http://dx.doi.org/10.1142/9789814503785_0009.

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Black, Deirdre. "Non-linear chiral Lagrangian study of πη scattering." In Montreal-Rochester-Syracuse-Toronto (MRST) conference on high energy physics. AIP, 2000. http://dx.doi.org/10.1063/1.1328904.

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Chen, Ming, and Changxin Xu. "Study on optimal utilization model based on the Lagrangian function." In 2017 International Conference of Electronics, Communication and Aerospace Technology (ICECA). IEEE, 2017. http://dx.doi.org/10.1109/iceca.2017.8212758.

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Oh, Jungsun, and Christina W. Tsai. "A Comparative Study on Lagrangian Stochastic Models for Sediment Transport." In World Environmental and Water Resources Congress 2011. Reston, VA: American Society of Civil Engineers, 2011. http://dx.doi.org/10.1061/41173(414)246.

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Savchynskyy, Bogdan, Jorg Kappes, Stefan Schmidt, and Christoph Schnorr. "A study of Nesterov's scheme for Lagrangian decomposition and MAP labeling." In 2011 IEEE Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2011. http://dx.doi.org/10.1109/cvpr.2011.5995652.

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Lakhdari, Z., P. Makany, M. Rouff, and Y. Slamani. "Study of invariance properties in robotic systems: a Lagrangian formulation approach." In 2006 American Control Conference. IEEE, 2006. http://dx.doi.org/10.1109/acc.2006.1657325.

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Yamada, Y., M. Sakai, S. Mizutani, S. Koshizuka, T. Nonoue, and K. Takahashi. "Development of a Lagrangian-Lagrangian Coupling Method in Solid-Liquid Flows Involving Free Surface." In ASME-JSME-KSME 2011 Joint Fluids Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/ajk2011-09016.

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In the industrial area, handling solid-liquid multiphase flows involving free surface is one of the most important problems. However, numerical studies on these complex flows have not been done so far. In this study, we develop a new method to simulate the solid-liquid flows with high viscosity. Lagrangian approaches were employed in the liquid and solid coupling method. Numerical simulations were performed to show the adequacy of this model.
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Sholl, M., O. Savas, M. Sholl, and O. Savas. "A fast Lagrangian PIV method for study of general high-gradient flows." In 35th Aerospace Sciences Meeting and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1997. http://dx.doi.org/10.2514/6.1997-493.

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MOROZUMI, Takuya. "Study of anomalous tau lepton decay using chiral Lagrangian with vector mesons." In Flavor Physics & CP Violation 2015. Trieste, Italy: Sissa Medialab, 2016. http://dx.doi.org/10.22323/1.248.0090.

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Singh, Digvijay, and Arup Kumar Das. "Study of Bubble Bursting at Free Surface using Coupled Eulerian-Lagrangian Approach." In Proceedings of the 24th National and 2nd International ISHMT-ASTFE Heat and Mass Transfer Conference (IHMTC-2017). Connecticut: Begellhouse, 2018. http://dx.doi.org/10.1615/ihmtc-2017.2970.

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Reports on the topic "Lagrangian study"

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Ito, K., M. Kroller, and K. Kunisch. A Numerical Study of an Augmented Lagrangian Method for the Estimation of Parameters in Elliptic Systems. Fort Belvoir, VA: Defense Technical Information Center, January 1989. http://dx.doi.org/10.21236/ada208658.

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Lien, Ren-Chieh. Variations of Kuroshio Intrusion and Internal Waves at Southern East China Sea: Observational Study with Lagrangian Float and Mooring ADCPs. Fort Belvoir, VA: Defense Technical Information Center, May 2008. http://dx.doi.org/10.21236/ada481552.

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Pritchard, Dennis S. A Study of a Steel Right Circular Cylinder (RCC) Striking 23 Plies of KM2 Fabric Using the LS-DYNA Lagrangian Hydrocode. Fort Belvoir, VA: Defense Technical Information Center, February 2002. http://dx.doi.org/10.21236/ada399901.

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