Thematische Bibliographien / Nonlinear field equations / Dissertationen
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Dissertationen zum Thema „Nonlinear field equations“

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Veröffentlicht am 18. Mai 2024
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1

Chakraborty, Susanto. "Solutions of some nonlinear field equations, painleve` properties and Chaos." Thesis, University of North Bengal, 2006. http://hdl.handle.net/123456789/610.

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2

Dunning, Tania Clare. "Perturbed conformal field theory, nonlinear integral equations and spectral problems." Thesis, Durham University, 2000. http://etheses.dur.ac.uk/4329/.

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This thesis is concerned with various aspects of perturbed conformal field theory and the methods used to calculate finite-size effects of integrable quantum field theories. Nonlinear integral equations are the main tools to find the exact ground-state energy of a quantum field theory. The thermodyamic Bethe ansatz (TBA) equations are a set of examples and are known for a large number of models. However, it is also an interesting question to find exact equations describing the excited states of integrable models. The first part of this thesis uses analytical continuation in a continuous parame
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3

O'Day, Joseph Patrick. "Investigation of a coupled Duffing oscillator system in a varying potential field /." Online version of thesis, 2005. https://ritdml.rit.edu/dspace/handle/1850/1212.

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4

GOFFI, ALESSANDRO. "Topics in nonlinear PDEs: from Mean Field Games to problems modeled on Hörmander vector fields." Doctoral thesis, Gran Sasso Science Institute, 2019. http://hdl.handle.net/20.500.12571/9808.

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This thesis focuses on qualitative and quantitative aspects of some nonlinear PDEs arising in optimal control and differential games, ranging from regularity issues to maximum principles. More precisely, it is concerned with the analysis of some fully nonlinear second order degenerate PDEs over Hörmander vector fields that can be written in Hamilton-Jacobi-Bellman and Isaacs form and those arising in the recent theory of Mean Field Games, where the prototype model is described by a coupled system of PDEs involving a backward Hamilton-Jacobi and a forward Fokker-Planck equation. The thesis is d
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5

Mulvey, Joseph Anthony. "Symmetry methods for integrable systems." Thesis, Durham University, 1996. http://etheses.dur.ac.uk/5379/.

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This thesis discusses various properties of a number of differential equations which we will term "integrable". There are many definitions of this word, but we will confine ourselves to two possible characterisations — either an equation can be transformed by a suitable change of variables to a linear equation, or there exists an infinite number of conserved quantities associated with the equation that commute with each other via some Hamiltonian structure. Both of these definitions rely heavily on the concept of the symmetry of a differential equation, and so Chapters 1 and 2 introduce and ex
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6

Hoq, Qazi Enamul. "Quantization Of Spin Direction For Solitary Waves in a Uniform Magnetic Field." Thesis, University of North Texas, 2003. https://digital.library.unt.edu/ark:/67531/metadc4210/.

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It is known that there are nonlinear wave equations with localized solitary wave solutions. Some of these solitary waves are stable (with respect to a small perturbation of initial data)and have nonzero spin (nonzero intrinsic angular momentum in the centre of momentum frame). In this paper we consider vector-valued solitary wave solutions to a nonlinear Klein-Gordon equation and investigate the behavior of these spinning solitary waves under the influence of an externally imposed uniform magnetic field. We find that the only stationary spinning solitary wave solutions have s
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7

Nys, Manon. "Schrödinger equations with an external magnetic field: Spectral problems and semiclassical states." Doctoral thesis, Universite Libre de Bruxelles, 2015. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/216641.

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In this thesis, we study Schrödinger equations with an external magnetic field. In the first part, we are interested in an eigenvalue problem. We work in an open, bounded and simply connected domain in dimension two. We consider a magnetic potential singular at one point in the domain, and related to the magnetic field being a multiple of a Dirac delta. Those two objects are related to the Bohm-Aharonov effect, in which a charged particle is influenced by the presence of the magnetic potential although it remains in a region where the magnetic field is zero. We consider the Schrödinger magneti
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8

Nowak, Derek Brant. "The Design of a Novel Tip Enhanced Near-field Scanning Probe Microscope for Ultra-High Resolution Optical Imaging." PDXScholar, 2010. https://pdxscholar.library.pdx.edu/open_access_etds/361.

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Traditional light microscopy suffers from the diffraction limit, which limits the spatial resolution to λ/2. The current trend in optical microscopy is the development of techniques to bypass the diffraction limit. Resolutions below 40 nm will make it possible to probe biological systems by imaging the interactions between single molecules and cell membranes. These resolutions will allow for the development of improved drug delivery mechanisms by increasing our understanding of how chemical communication within a cell occurs. The materials sciences would also benefit from these high resolution
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9

Ruy, Danilo Virges [UNESP]. "Estrutura hamiltoniana da hierarquia PIV." Universidade Estadual Paulista (UNESP), 2011. http://hdl.handle.net/11449/92036.

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Made available in DSpace on 2014-06-11T19:25:34Z (GMT). No. of bitstreams: 0 Previous issue date: 2011-02-18Bitstream added on 2014-06-13T19:53:27Z : No. of bitstreams: 1 ruy_dv_me_ift.pdf: 500107 bytes, checksum: fef6f049175c290422f569aa7ad7e26e (MD5)<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)<br>Esta dissertação trata da construção de hierarquias compatíveis com a equação PIV a partir dos modelos: AKNS, dois bósons e dois bósons quadráticos. Também são construidos os problema linear de Jimbo-Miwa dos três modelos e discutimos a hamiltoniana correspondente a equa
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Ruy, Danilo Virges. "Estrutura hamiltoniana da hierarquia PIV /." São Paulo : [s.n.], 2011. http://hdl.handle.net/11449/92036.

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Orientador: Abraham Hirsz Zimerman<br>Banca: Iberê Luiz Caldas<br>Banca: Roberto André Kraenkel<br>Resumo: Esta dissertação trata da construção de hierarquias compatíveis com a equação PIV a partir dos modelos: AKNS, dois bósons e dois bósons quadráticos. Também são construidos os problema linear de Jimbo-Miwa dos três modelos e discutimos a hamiltoniana correspondente a equação PIV a partir do formalismo lagrangiano<br>Abstract: This dissertation contains the construction of compatible hierarchies with the PIV equation from the models: AKNS, two-boson and quadratic two-boson. Also it is build
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11

Gallot, Laurent. "Construction de hierarchies integrables et supersymetrie." Lyon, École normale supérieure (sciences), 1998. http://www.theses.fr/1998ENSL0083.

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Nous donnons dans cette these deux formulations distinctes dans le super-espace etendu de deux series de hierarchies integrables supersymetriques n = 2 de type korteweg-de vries (kdv). Nous developpons d'une part un formalisme de gelfand-dickey qui utilise l'algebre des operateurs pseudo-differentiels n = 2 preservant la chiralite et une matrice-r non antisymetrique. Nous definissons ainsi une hierarchie de kp n = 2 qui est hamiltonienne par rapport a un crochet de poisson lineaire et a deux crochets quadratiques. Deux series de hierarchies de type kdv n = 2 sont obtenues comme reductions par
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12

Acar, Fatma. "Spinodal Instabilities In Symmetric Nuclear Matter Within A Nonlinear Relativistic Mean-field Approach." Master's thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613472/index.pdf.

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Spinodal instability mechanism and early development of density fluctuations for symmetric nuclear matter at finite temperature are studied. A stochastic extension of Walecka-type relativistic mean-field model including non-linear self-interactions of scalar mesons with NL3 parameter set is employed in the semi-classical approximation. The growth rates of unstable collective modes are investigated below the normal density and at low temperatures. The system exhibits most unstable behavior in longer wave lengths at baryon densities &rho<br>B = 0.4 &rho<br>0 , while most unstable behavior occurs
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13

Carr, Christopher G. "Space charge-limited emission studies using Coulomb's Law." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 2004. http://library.nps.navy.mil/uhtbin/hyperion/04Jun%5FCarr.pdf.

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14

Druet, Pierre-Etienne. "Analysis of a coupled system of partial differential equations modeling the interaction between melt flow, global heat transfer and applied magnetic fields in crystal growth." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2009. http://dx.doi.org/10.18452/15893.

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Hauptthema der Dissertation ist die Analysis eines nichtlinearen, gekoppelten Systems partieller Differentialgleichungen (PDG), das in der Modellierung der Kristallzüchtung aus der Schmelze mit Magnetfeldern vorkommt. Die zu beschreibenden Phenomäne sind einerseits der im elektromagnetisch geheizten Schmelzofen erfolgende Wärmetransport (Wärmeleitung, -konvektion und -strahlung), und andererseits die Bewegung der Halbleiterschmelze unter dem Einfluss der thermischen Konvektion und der angewendeten elektromagnetischen Kräfte. Das Modell besteht aus den Navier-Stokeschen Gleichungen für eine
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15

Toyinbo, Peter Ayo. "Additive Latent Variable (ALV) Modeling: Assessing Variation in Intervention Impact in Randomized Field Trials." Scholar Commons, 2009. http://scholarcommons.usf.edu/etd/3673.

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In order to personalize or tailor treatments to maximize impact among different subgroups, there is need to model not only the main effects of intervention but also the variation in intervention impact by baseline individual level risk characteristics. To this end a suitable statistical model will allow researchers to answer a major research question: who benefits or is harmed by this intervention program? Commonly in social and psychological research, the baseline risk may be unobservable and have to be estimated from observed indicators that are measured with errors; also it may have nonline
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16

Aoun, Mirella. "Analyse et analyse numérique d'EDP issues de la thermomécanique des fluides." Electronic Thesis or Diss., Normandie, 2023. http://www.theses.fr/2023NORMR093.

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Dans cette thèse nous nous intéressons à des systèmes non linéaires d'évolution issus d'un modèle de solidification non isotherme avec prise en compte de la convection. Ces systèmes consistent en un couplage non linéaire de trois équations aux dérivés partielles : la première est l'équation de la phase, la deuxième est l'équation de conservation de l'énergie et la troisième est l'équation de Navier-Stokes incompressible. Plus précisément, nous nous intéressons à établir des résultats sur l'existence de solutions pour ce type de systèmes en dimension 2 et 3 ainsi que sur la convergence de solut
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17

Nabolsi, Hawraa. "Contrôle optimal des équations d'évolution et ses applications." Thesis, Valenciennes, 2018. http://www.theses.fr/2018VALE0027/document.

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Dans cette thèse, tout d’abord, nous faisons l’Analyse Mathématique du modèle exact du chauffage radiatif d’un corps semi-transparent $\Omega$ par une source radiative noire qui l’entoure. Il s’agit donc d’étudier le couplage d’un système d’Equations de Transfert Radiatif avec condition au bord de réflectivité indépendantes avec une équation de conduction de la chaleur non linéaire avec condition limite non linéaire de type Robin. Nous prouvons l’existence et l’unicité de la solution et nous démontrons des bornes uniformes sur la solution et les intensités radiatives dans chaque bande de longu
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18

Pham, Truong Xuan. "Peeling et scattering conforme dans les espaces-temps de la relativité générale." Thesis, Brest, 2017. http://www.theses.fr/2017BRES0034/document.

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Nous étudions l’analyse asymptotique en relativité générale sous deux aspects: le peeling et le scattering (diffusion) conforme. Le peeling est construit pour les champs scalaires linéaire et non-linéaires et pour les champs de Dirac en espace-temps de Kerr (qui est non-stationnaire et à symétrie simplement axiale), généralisant les travaux de L. Mason et J-P. Nicolas (2009, 2012). La méthode des champs de vecteurs (estimations d’énergie géométriques) et la technique de compactification conforme sont développées. Elles nous permettent de formuler les définitions du peeling à tous ordres et d’o
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19

Pade, Jonas. "Analysis and waveform relaxation for a differential-algebraic electrical circuit model." Doctoral thesis, Humboldt-Universität zu Berlin, 2021. http://dx.doi.org/10.18452/23044.

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Die Hauptthemen dieser Arbeit sind einerseits eine tiefgehende Analyse von nichtlinearen differential-algebraischen Gleichungen (DAEs) vom Index 2, die aus der modifizierten Knotenanalyse (MNA) von elektrischen Schaltkreisen hervorgehen, und andererseits die Entwicklung von Konvergenzkriterien für Waveform Relaxationsmethoden zum Lösen gekoppelter Probleme. Ein Schwerpunkt in beiden genannten Themen ist die Beziehung zwischen der Topologie eines Schaltkreises und mathematischen Eigenschaften der zugehörigen DAE. Der Analyse-Teil umfasst eine detaillierte Beschreibung einer Normalform für S
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20

Euler, Norbert. "Nonlinear field equations and Painleve test." Thesis, 2014. http://hdl.handle.net/10210/10855.

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21

"On a nonlinear scalar field equation." Chinese University of Hong Kong, 1993. http://library.cuhk.edu.hk/record=b5887723.

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by Chi-chung Lee.<br>Thesis (M.Phil.)--Chinese University of Hong Kong, 1993.<br>Includes bibliographical references (leaves 45-47).<br>INTRODUCTION --- p.1<br>Chapter CHAPTER 1 --- RADIAL SYMMETRY OF GROUND STATES --- p.7<br>Chapter CHAPTER 2 --- EXISTENCE OF A GROUND STATE --- p.14<br>Chapter CHAPTER 3 --- UNIQUENESS OF GROUND STATE I --- p.23<br>Chapter CHAPTER 4 --- UNIQUENESS OF GROUND STATE II --- p.35<br>REFERENCES --- p.45
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22

D'Ambroise, Jennie. "Generalized EMP and Nonlinear Schrodinger-type Reformulations of Some Scaler Field Cosmological Models." 2010. https://scholarworks.umass.edu/open_access_dissertations/225.

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We show that Einstein’s gravitational field equations for the Friedmann- Robertson-Lemaître-Walker (FRLW) and for two conformal versions of the Bianchi I and Bianchi V perfect fluid scalar field cosmological models, can be equivalently reformulated in terms of a single equation of either generalized Ermakov-Milne- Pinney (EMP) or (non)linear Schrödinger (NLS) type. This work generalizes or presents an alternative to similar reformulations published by the authors who inspired this thesis: R. Hawkins, J. Lidsey, T. Christodoulakis, T. Grammenos, C. Helias, P. Kevrekidis, G. Papadopoulos and F.W
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23

Liu, Lulu. "Nonlinear Preconditioning and its Application in Multicomponent Problems." Diss., 2015. http://hdl.handle.net/10754/583375.

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The Multiplicative Schwarz Preconditioned Inexact Newton (MSPIN) algorithm is presented as a complement to Additive Schwarz Preconditioned Inexact Newton (ASPIN). At an algebraic level, ASPIN and MSPIN are variants of the same strategy to improve the convergence of systems with unbalanced nonlinearities; however, they have natural complementarity in practice. MSPIN is naturally based on partitioning of degrees of freedom in a nonlinear PDE system by field type rather than by subdomain, where a modest factor of concurrency can be sacrificed for physically motivated convergence robustness. ASPIN
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24

Brown, Shannon E. "An Examination of the Lagrangian Length Scale in Plant Canopies using Field Measurements in an Analytical Lagrangian Equation." Thesis, 2012. http://hdl.handle.net/10214/5023.

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Studies of trace gas fluxes have advanced the understanding of bulk interactions between the atmosphere and ecosystems. Micrometeorological instrumentation is currently unable to resolve vertical scalar sources and sinks within plant canopies. Inverted analytical Lagrangian equations provide a non-intrusive method to calculate source distributions. These equations are based on Taylor's (1921) description of scalar dispersion, which requires a measure of the degree of correlation between turbulent motions, defined by the Lagrangian length scale (L). Inverse Lagrangian (IL) analyses can be u
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25

Carvalho, Sara Joana Fino dos Santos Rodrigues de. "Stable and Convergent Numerical Methods for Nonlinear Parabolic Systems: Application to Sunspots." Doctoral thesis, 2021. http://hdl.handle.net/10316/96411.

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No campo "Projeto ou Bolsa de Financiamento" a referência à minha bolsa foi colocada manualmente não tendo sido selecionada na lista apresentada uma vez que não aparece.<br>Tese no âmbito do Programa Interuniversitário de Doutoramento em Matemática, orientada pelo Professor Doutor José Augusto Mendes Ferreira e pela Doutora Maria Teresa de Abrunhosa Barata e apresentada ao Departamento de Matemática da Faculdade de Ciências e Tecnologia da Universidade de Coimbra.<br>The computation of the magnetic field in the umbra- the darkest part of a sunspot, was the main motivation of this work. After s
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26

Cheng, Hsu-Fong, and 鄭旭峰. "Existence of Nonlinear Scalar Field Equation." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/30877267862009478404.

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27

Niu, Yaying. "Three-Dimensional Nonlinear Acoustical Holography." Thesis, 2013. http://hdl.handle.net/1969.1/149484.

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Nearfield Acoustical Holography (NAH) is an acoustic field visualization technique that can be used to reconstruct three-dimensional (3-D) acoustic fields by projecting two-dimensional (2-D) data measured on a hologram surface. However, linear NAH algorithms developed and improved by many researchers can result in significant reconstruction errors when they are applied to reconstruct 3-D acoustic fields that are radiated from a high-level noise source and include significant nonlinear components. Here, planar, nonlinear acoustical holography procedures are developed that can be used to recon
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28

Koch, Philipp. "Partikelmodellierung der Strukturbildung akustischer Kavitationsblasen in Wechselwirkung mit dem Schalldruckfeld." Doctoral thesis, 2006. http://www.gbv.de/dms/goettingen/524828539.pdf.

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