Relevant bibliographies by topics / Vlasov theory

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Vlasov theory'

Author: Grafiati
Published: 4 June 2021
Last updated: 10 February 2022

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Journal articles on the topic "Vlasov theory"

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ELZE, H. TH, M. GYULASSY, D. VASAK, HANNELORE HEINZ, H. STÖCKER, and W. GREINER. "TOWARDS A RELATIVISTIC SELFCONSISTENT QUANTUM TRANSPORT THEORY OF HADRONIC MATTER." Modern Physics Letters A 02, no. 07 (July 1987): 451–60. http://dx.doi.org/10.1142/s0217732387000562.

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We derive the relativistic quantum transport- and constraint equations for a relativistic field theory of baryons coupled to scalar and vector mesons. We extract a selfconsistent momentum dependent Vlasov term and the structure of quantum corrections for the Vlasov-Uehling-Uhlenbeck approach. The inclusion of pions and deltas into this transport theory is discussed.
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Grmela, Miroslav, and Michal Pavelka. "Landau damping in the multiscale Vlasov theory." Kinetic & Related Models 11, no. 3 (2018): 521–45. http://dx.doi.org/10.3934/krm.2018023.

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Tronci, Cesare, and Enrico Camporeale. "Neutral Vlasov kinetic theory of magnetized plasmas." Physics of Plasmas 22, no. 2 (February 2015): 020704. http://dx.doi.org/10.1063/1.4907665.

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Yu, Wenbin, Dewey H. Hodges, Vitali V. Volovoi, and Eduardo D. Fuchs. "A generalized Vlasov theory for composite beams." Thin-Walled Structures 43, no. 9 (September 2005): 1493–511. http://dx.doi.org/10.1016/j.tws.2005.02.003.

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Lacker, Daniel. "Limit Theory for Controlled McKean--Vlasov Dynamics." SIAM Journal on Control and Optimization 55, no. 3 (January 2017): 1641–72. http://dx.doi.org/10.1137/16m1095895.

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Coghi, Michele, Jean-Dominique Deuschel, Peter K. Friz, and Mario Maurelli. "Pathwise McKean–Vlasov theory with additive noise." Annals of Applied Probability 30, no. 5 (October 2020): 2355–92. http://dx.doi.org/10.1214/20-aap1560.

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EROFEEV, V. I. "Derivation of an equation for three-wave interactions based on the Klimontovich–Dupree equation." Journal of Plasma Physics 57, no. 2 (February 1997): 273–98. http://dx.doi.org/10.1017/s0022377896004990.

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A collision integral for three-wave interactions in a collisionless plasma is derived from the full plasma description by means of the Klimontovich–Dupree and Maxwell equations. This collision integral differs from its traditional counterpart (calculated within the framework of Vlasov theory) by an additional functional factor. This means that the changes in the wave spectral density, which are induced by three-wave interactions, occur with a rate other than that calculated in Vlasov theory.
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Hartnack, C., H. Stöcker, and W. Greiner. "Landau-Vlasov model versus Vlasov-Uehling-Uhlenbeck-approach. Different flow effects from the same theory?" Physics Letters B 215, no. 1 (December 1988): 33–35. http://dx.doi.org/10.1016/0370-2693(88)91064-7.

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Bessi, Ugo. "Viscous aubby-mather theory and the vlasov equation." Discrete and Continuous Dynamical Systems 34, no. 2 (August 2013): 379–420. http://dx.doi.org/10.3934/dcds.2014.34.379.

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Brizard, Alain J., and Cesare Tronci. "Variational formulations of guiding-center Vlasov-Maxwell theory." Physics of Plasmas 23, no. 6 (June 2016): 062107. http://dx.doi.org/10.1063/1.4953431.

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Dissertations / Theses on the topic "Vlasov theory"

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Tronci, Cesare. "Geometric dynamics of Vlasov kinetic theory and its moments." Thesis, Imperial College London, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.486660.

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The Vlasov equation of kinetic theory is introduced and the Hamiltonian structure of its moments is presented. Then we focus on the geodesic evolution of the Vlasov moments [1.2]. As a first step, these moment equations generalize the Camassa-Holm equation [3] to its multi-component version [4]. Subsequently, adding electrostatic forces to the geodesic moment equations relates them to the Benney equations [5] and to the equations for beam dynamics in particle accelerators. Next, we develop a kinetic theory for self assembly in nano-particles. The Darcy law [6] is introduced as a general principle for aggregation dynamics in friction dominated systems (at different scales). Then, a kinetic equation is introduced [7,8] for the dissipative motion of isotropic nano-particles. The zeroth-moment dynamics of this equation recovers the classical Darcy law at the macroscopic level [7]. A kinetic-theory description for oriented nano-particles is also presented [9]. At the macroscopic level, the zeroth moments of this kinetic equation recover the magnetization dynamics of the Landau-Lifshitz-Gilbert equation [10]. The moment equations exhibit the spontaneous emergence of singular solutions (clumpons) that finally merge in one singularity. This behaviour represents aggregation and alignment of oriented nano-particles. Finally, the Smoluchowsky description is derived from the dissipative Vlasov equation for anisotropic interactions. Various levels of approximate Smoluchowsky descriptions are proposed as special cases of the general treatment. As a result, the macroscopic momentum emerges as an additional dynamical variable that in general cannot be neglected.
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Zhang, Mei. "Some problems on conservation laws and Vlasov-Poisson-Boltzmann equation /." access full-text access abstract and table of contents, 2009. http://libweb.cityu.edu.hk/cgi-bin/ezdb/thesis.pl?phd-ma-b23749465f.pdf.

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Thesis (Ph.D.)--City University of Hong Kong, 2009.
"Submitted to Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy." Includes bibliographical references (leaves [90]-94)
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Li, Li. "The asymptotic behavior for the Vlasov-Poisson-Boltzmann system & heliostat with spinning-elevation tracking mode /." access full-text access abstract and table of contents, 2009. http://libweb.cityu.edu.hk/cgi-bin/ezdb/thesis.pl?phd-ma-b30082419f.pdf.

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Thesis (Ph.D.)--City University of Hong Kong, 2009.
"Submitted to Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy." Includes bibliographical references (leaves [84]-87)
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Maruca, Bennett Andrew. "Instability-Driven Limits on Ion Temperature Anisotropy in the Solar Wind: Observations and Linear Vlasov Theory." Thesis, Harvard University, 2012. http://dissertations.umi.com/gsas.harvard:10457.

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Kinetic microinstabilities in the solar wind arise when its non-thermal properties become too extreme. This thesis project focused specifically on the four instabilities associated with ion temperature anisotropy: the cyclotron, mirror, and parallel and oblique firehose instabilities. Numerous studies have provided evidence that proton temperature anisotropy in the solar wind is limited by the actions of these instabilities. For this project, a fully revised analysis of data from the Wind spacecraft's Faraday cups and calculations from linear Vlasov theory were used to extend these findings in two respects. First, theoretical thresholds were derived for the \(\alpha\)-particle temperature anisotropy instabilities, which were then found to be consistent with a statistical analysis of Wind \(\alpha\)-particle data. This suggests that \(\alpha\)-particles, which constitute only about 5% of ions in the solar wind, are nevertheless able to drive temperature anisotropy instabilities. Second, a statistical analysis of Wind proton data found that proton temperature was significantly enhanced in plasma unstable due to proton temperature anisotropy. This implies that extreme proton temperature anisotropies in solar wind at 1 AU arise from ongoing anisotropic heating (versus cooling from, e.g., CGL double adiabatic expansion). Together, these results provide further insight into the complex evolution of the solar wind's non-fluid properties.
Astronomy
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Allanson, Oliver Douglas. "Theory of one-dimensional Vlasov-Maxwell equilibria : with applications to collisionless current sheets and flux tubes." Thesis, University of St Andrews, 2017. http://hdl.handle.net/10023/11916.

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Vlasov-Maxwell equilibria are characterised by the self-consistent descriptions of the steady-states of collisionless plasmas in particle phase-space, and balanced macroscopic forces. We study the theory of Vlasov-Maxwell equilibria in one spatial dimension, as well as its application to current sheet and flux tube models. The ‘inverse problem' is that of determining a Vlasov-Maxwell equilibrium distribution function self-consistent with a given magnetic field. We develop the theory of inversion using expansions in Hermite polynomial functions of the canonical momenta. Sufficient conditions for the convergence of a Hermite expansion are found, given a pressure tensor. For large classes of DFs, we prove that non-negativity of the distribution function is contingent on the magnetisation of the plasma, and make conjectures for all classes. The inverse problem is considered for nonlinear ‘force-free Harris sheets'. By applying the Hermite method, we construct new models that can describe sub-unity values of the plasma beta (βpl) for the first time. Whilst analytical convergence is proven for all βpl, numerical convergence is attained for βpl = 0.85, and then βpl = 0.05 after a ‘re-gauging' process. We consider the properties that a pressure tensor must satisfy to be consistent with ‘asymmetric Harris sheets', and construct new examples. It is possible to analytically solve the inverse problem in some cases, but others must be tackled numerically. We present new exact Vlasov-Maxwell equilibria for asymmetric current sheets, which can be written as a sum of shifted Maxwellian distributions. This is ideal for implementations in particle-in-cell simulations. We study the correspondence between the microscopic and macroscopic descriptions of equilibrium in cylindrical geometry, and then attempt to find Vlasov-Maxwell equilibria for the nonlinear force-free ‘Gold-Hoyle' model. However, it is necessary to include a background field, which can be arbitrarily weak if desired. The equilibrium can be electrically non-neutral, depending on the bulk flows.
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Brigouleix, Nicolas. "Sur le système de Vlasov-Maxwell : régularité et limite non relativiste." Thesis, Institut polytechnique de Paris, 2020. http://www.theses.fr/2020IPPAX098.

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Cette thèse est consacrée à l'étude du système d'équations aux dérivées partielles de Vlasov-Maxwell qui décrit l'évolution au cours du temps de la fonction de distribution de particules chargées dans un plasma. Nos travaux portent plus particulièrement sur la régularité des solutions de ce système et le problème de la limite non-relativiste.Dans un premier temps, on étudie un modèle jouet combinant une équation de Vlasov et un système d'équations de transport. On utilise les méthodes utilisées pour obtenir et améliorer le critère de Glassey-Strauss qui donne une condition suffisante sous laquelle une solution forte du système de Vlasov-Maxwell ne développe pas de singularités. La perte de régularité se manifeste lorsque la vitesse des particules est proche de la vitesse de résonnance du système hyperbolique adjoint. Le même phénomène se produit pour les solutions de notre système jouet, mais il possède une structure moins complexe.Dans un deuxième temps, on aborde la question de la limite non relativiste. Après adimensionnement, la vitesse de la lumière peut être considérée comme un grand paramètre du système. Lorsque celui ci tend vers l'infini, on parle de limite non-relativiste. Au premier ordrer, la limite non relativiste du système de Vlasov-Maxwell est le système de Vlasov-Poisson. Dans un premier chapitre, on établit une méthode itérative qui permet formellement d'obtenir des systèmes couplant l'équation de Vlasov à un système elliptique et formant une approximation non relativiste d'ordre arbitrairement élevé du système de Vlasov-Maxwell. Ces systèmes sont de plus bien posés dans certains espaces de Sobolev. Dans un second chapitre on démontre un résultat de limite non relativiste vers le système de Vlasov-Poisson sous des conditions ne portant que sur la densité macroscopique de charges. Pour ce faire on étudie une fonctionnelle quantifiant la distance de Wasserstein entre les solutions faibles des deux systèmes
In this dissertation, we study the Vlasov-Maxwell system of partial differential equations, describing the evolution of the distribution function of charged particles in a plasma. More precisely, we study the regularity of solutions to this system, and the question of the non-relativstic limit.In the first part, we study a Toy-model, combining the Vlasov equation with a system of transport equations. We use the methods developed to obtain and imrpove the Glassey-Strauss criterion, which gives a sufficient condition under which strong solutions do not develop singularities. The loss of regularity occures when the speed of the particles is close to the characteristic speed of the joined hyperbolic system. The same phenomenon occures for the solutions of the Toy-model, but its structure is easier to handle.In the second part, we focus on the question of the non-relativistic limit. After a rescaling of the equations, the speed of light can be considered as a big parameter. When it tends to infinity, it is called the non-relativistic limit. At first order, the non-relativistic limit of the Vlasov-Maxwell system is the Vlasov-Poisson system. First, an iterative method giving arbitrary high non-relativistic approximations is established. These systems combine the Vlasov-equation with elliptic systems of equations, and are well-posed in some weigthed Sobolev spaces. We also prove a result on the non-relativistic limit to the Vlasov-Poisson system under the weaker assumption of boundedness of the macroscopic density. We study a functional quantifying the Wasserstein distance between weak solutions of both systems
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Rathsman, Karin. "Modeling of Electron Cooling : Theory, Data and Applications." Doctoral thesis, Uppsala universitet, Kärnfysik, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-129686.

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The Vlasov technique is used to model the electron cooling force. Limitations of the applicability of the method is obtained by considering the perturbations of the electron plasma. Analytical expressions of the electron cooling force, valid beyond the Coulomb logarithm approximation, are derived and compared to numerical calculations using adaptive Monte Carlo integration. The calculated longitudinal cooling force is verified with measurements in CELSIUS. Transverse damping rates of betatron oscillations for a nonlinear cooling force is explored. Experimental data of the transverse monochromatic instability is used to determine the rms angular spread due to solenoid field imperfections in CELSIUS. The result, θrms= 0.16 ± 0.02 mrad, is in agreement with the longitudinal cooling force measurements. This verifies the internal consistency of the model and shows that the transverse and longitudinal cooling force components have different velocity dependences. Simulations of electron cooling with applications to HESR show that the momentum reso- lution ∆p/p smaller than 10−5 is feasible, as needed for the charmonium spectroscopy in the experimental program of PANDA. By deflecting the electron beam angle to make use of the monochromatic instability, a reasonable overlap between the circulating antiproton beam and the internal target can be maintained. The simulations also indicate that the cooling time is considerably shorter than expected.
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Cesbron, Ludovic. "On the derivation of non-local diffusion equations in confined spaces." Thesis, University of Cambridge, 2017. https://www.repository.cam.ac.uk/handle/1810/270355.

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The subject of the thesis is the derivation of non-local diffusion equations from kinetic models with heavy-tailed equilibrium in velocity. We are particularly interested in confining the kinetic equations and developing methods that allow us, from the confined kinetic models, to derive confined versions of non-local diffusion equations.
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Matsui, Tatsuki. "Kinetic theory and simulation of collisionless tearing in bifurcated current sheets." Diss., University of Iowa, 2008. http://ir.uiowa.edu/etd/38.

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Harrison, Michael George. "Equilibrium and dynamics of collisionless current sheets." Thesis, St Andrews, 2009. http://hdl.handle.net/10023/705.

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Books on the topic "Vlasov theory"

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Vedenyapin, Victor. Kinetic Boltzmann, Vlasov and related equations. Waltham, MA: Elsevier Science, 2011.

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Allanson, Oliver. Theory of One-Dimensional Vlasov-Maxwell Equilibria. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-97541-2.

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Zhidkov, V. S. Zagadka Rossiĭskoĭ istorii: Kulʹtura i vlastʹ = Culture and power in Russian history. Lewiston, N.Y: Edwin Mellen Press, 1999.

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Vedenyapin, Victor, Alexander Sinitsyn, and Eugene Dulov. Kinetic Boltzmann, Vlasov and Related Equations. Elsevier, 2011.

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Deruelle, Nathalie, and Jean-Philippe Uzan. Kinetic theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0010.

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This chapter covers the equations governing the evolution of particle distribution and relates the macroscopic thermodynamical quantities to the distribution function. The motion of N particles is governed by 6N equations of motion of first order in time, written in either Hamiltonian form or in terms of Poisson brackets. Thus, as this chapter shows, as the number of particles grows it becomes necessary to resort to a statistical description. The chapter first introduces the Liouville equation, which states the conservation of the probability density, before turning to the Boltzmann–Vlasov equation. Finally, it discusses the Jeans equations, which are the equations obtained by taking various averages over velocities.
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Theory of One-Dimensional Vlasov-Maxwell Equilibria: With Applications to Collisionless Current Sheets and Flux Tubes. Springer, 2018.

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Allanson, Oliver. Theory of One-Dimensional Vlasov-Maxwell Equilibria: With Applications to Collisionless Current Sheets and Flux Tubes. Springer, 2019.

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Book chapters on the topic "Vlasov theory"

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Koskinen, Hannu E. J. "Vlasov Theory." In Physics of Space Storms, 141–62. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-00319-6_5.

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Babovsky, H., and H. Neunzert. "The Vlasov Equation: Some Mathematical Aspects." In Kinetic Theory and Gas Dynamics, 37–66. Vienna: Springer Vienna, 1988. http://dx.doi.org/10.1007/978-3-7091-2762-9_2.

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Bonitz, Michael. "Mean–Field Approximation. Quantum Vlasov Equation. Collective Effects." In Quantum Kinetic Theory, 83–117. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-24121-0_4.

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Cercignani, Carlo, and Gilberto Medeiros Kremer. "The Vlasov Equation and Related Systems." In The Relativistic Boltzmann Equation: Theory and Applications, 347–69. Basel: Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8165-4_13.

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Allanson, Oliver. "Introduction." In Theory of One-Dimensional Vlasov-Maxwell Equilibria, 1–40. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-97541-2_1.

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Allanson, Oliver. "The Use of Hermite Polynomials for the Inverse Problem in One-Dimensional Vlasov-Maxwell Equilibria." In Theory of One-Dimensional Vlasov-Maxwell Equilibria, 41–67. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-97541-2_2.

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Allanson, Oliver. "One-Dimensional Nonlinear Force-Free Current Sheets." In Theory of One-Dimensional Vlasov-Maxwell Equilibria, 69–112. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-97541-2_3.

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Allanson, Oliver. "One-Dimensional Asymmetric Current Sheets." In Theory of One-Dimensional Vlasov-Maxwell Equilibria, 113–36. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-97541-2_4.

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Allanson, Oliver. "Neutral and Non-neutral Flux Tube Equilibria." In Theory of One-Dimensional Vlasov-Maxwell Equilibria, 137–80. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-97541-2_5.

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Allanson, Oliver. "Discussion." In Theory of One-Dimensional Vlasov-Maxwell Equilibria, 181–91. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-97541-2_6.

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Conference papers on the topic "Vlasov theory"

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Harrison, Michael G., Thomas Neukirch, and Eric Stempels. "Theory of 1D Vlasov-Maxwell Equilibria." In COOL STARS, STELLAR SYSTEMS AND THE SUN: Proceedings of the 15th Cambridge Workshop on Cool Stars, Stellar Systems and the Sun. AIP, 2009. http://dx.doi.org/10.1063/1.3099222.

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Xia, Wen-Zhong, Xiu-Gen Jiang, Min Ding, Hong-Zhi Wang, Xing-Hua Chen, Xiao-Ke Cheng, and Wei-Tong Guo. "Analytical element for torsion bar based on vlasov theory." In 2016 International Conference on Mechanics and Architectural Design. WORLD SCIENTIFIC, 2016. http://dx.doi.org/10.1142/9789813149021_0054.

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Yu, Wenbin, Dewey Hodges, Vitali Volovoi, and Eduardo Fuchs. "The Vlasov Theory of the Variational Asymptotic Beam Sectional Analysis." In 45th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics & Materials Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2004. http://dx.doi.org/10.2514/6.2004-1520.

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Orynyak, Igor, and Yaroslav Dubyk. "Approximate Formulas for Cylindrical Shell Free Vibration Based on Vlasov’s and Enhanced Vlasov’s Semi-Momentless Theory." In ASME 2018 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/pvp2018-84932.

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Simple approximate formulas for the natural frequencies of circular cylindrical shells are presented for modes in which transverse deflection dominates. Based on the Donnell-Mushtari thin shell theory the equations of motion of the circular cylindrical shell are introduced, using Vlasov assumptions and Fourier series for the circumferential direction, an exact solution in the axial direction is obtained. To improve the results assumptions of Vlasov’s semimomentless theory are enhanced, i.e. we have used only the hypothesis of middle surface inextensibility to obtain a solution in axial direction. Nonlinear characteristic equations and natural mode shapes, are derived for all type of boundary conditions. Good agreement with experimental data and FEM is shown and advantage over the existing formulas for a variety of boundary conditions is presented.
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Watanabe, T. H., H. Sugama, and S. Ferrando i Margalet. "Gyrokinetic-Vlasov simulations of the ion temperature gradient turbulence in tokamak and helical systems." In THEORY OF FUSION PLASMAS: Joint Varenna-Lausanne International Workshop. AIP, 2006. http://dx.doi.org/10.1063/1.2404557.

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WOODSON, MARSHALL, ERIC JOHNSON, and RAPHAEL HAFTKA. "A VLASOV THEORY FOR LAMINATED COMPOSITE CIRCULAR BEAMS WITH THIN-WALLED OPEN CROSS SECTIONS." In 34th Structures, Structural Dynamics and Materials Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1993. http://dx.doi.org/10.2514/6.1993-1619.

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Vogt, Mathias, and Philipp Amstutz. "Arbitrary Order Perturbation Theory for Time-Discrete Vlasov Systems with Drift Maps and Poisson Type Collective Kick Maps." In Nonlinear Dynamics and Collective Effects in Particle Beam Physics. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/9789813279612_0015.

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Liao, Dao-Xun, Xiao-Cheng Huang, Yong-Zhong Lu, and Wei-Jun Jin. "Dynamic Modeling and its Solving Method of Elastic Foundation for Dynamic Machine." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/vib-8123.

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Abstract Engineering practices indicate that the soil as foundation has great effect on base vibration. In this paper, Vlasov model is applied to base-foundation (soil) system of dynamic machine. According to the elasticity theory and soil dynamics, the kinetic energy and potential of foundation can be derived. Based on the Hamilton’s variational principle, we are able to establish multivariable fonctionelle equation and Euler’s equations of foundation. Consequently, we can obtain the partial differential equation of free vibration for the foundation on condition that the damping of the system is neglected, which equations are different from the existing references. It is very difficult to solve the complicate differential equations. This paper proposes a new solving method that has great improvement for existing literatures. It provides theoretic basis of the dynamic modeling and dynamic characteristic analysis of bas-foundation system for dynamic machine.
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Elkhatib, Sarah, Breyden Lonnie, and Mark Randolph. "Installation and Pull-Out Capacities of Drag-In Plate Anchors." In ASME 2002 21st International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2002. http://dx.doi.org/10.1115/omae2002-28631.

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The trend towards taut-wire mooring systems, instead of catenary chains, to anchor floating facilities for offshore exploration requires high-capacity anchoring systems capable of withstanding vertical loading components. Conventional drag anchors have very limited vertical capacity, and this has led to the development of alternative drag-in plate anchors, or vertically loaded anchors (VLAs). VLAs are installed in a similar way to conventional drag anchors, but they are ultimately loaded normal to their plate surface, and thus act like embedded plate anchors. A critical issue in the overall mooring system design is the ratio of the pull-out load to the anchor installation load, and this is termed the performance ratio. The performance of a model VLA was modelled in a geotechnical centrifuge, with particular attention to the performance ratios. Whilst the performance ratios obtained were much lower than expected, the testing proved that VLAs provide a simple and inexpensive alternative to other anchoring systems.
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Orynyak, Igor, and Andrii Oryniak. "Efficient Solution for Cylindrical Shell Based on Short and Long (Enhanced Vlasov’s) Solutions on Example of Concentrated Radial Force." In ASME 2018 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/pvp2018-85032.

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There is the general feeling among the scientists that everything what could be performed by theoretical analysis for cylindrical shell was already done in last century, or at least, would require so tremendous efforts, that it will have a little practical significance in our era of domination of powerful and simple to use commercial software. Present authors partly support this point of view. Nevertheless there is one significant mission of theory which is not exhausted yet, but conversely is increasingly required for engineering community. We mean the educational one, which would provide by rather simple means the general understanding of the patterns of deformational behavior, the load transmission mechanisms, and the dimensionless combinations of physical and geometrical parameters which governs these patterns. From practical consideration it is important for avoiding of unnecessary duplicate calculations, for reasonable restriction of the geometrical computer model for long structures, for choosing the correct boundary conditions, for quick evaluation of the correctness of results obtained. The main idea of work is expansion of solution in Fourier series in circumferential direction and subsequent consideration of two simplified differential equations of 4th order (biquadratic ones) instead of one equation of 8th order. The first equation is derived in assumption that all variables change more quickly in axial direction than in circumferential one (short solution), and the second solution is based on the opposite assumption (long solution). One of the most novelties of the work consists in modification of long solution which in fact is well known Vlasov’s semi-membrane theory. Two principal distinctions are suggested: a) hypothesis of inextensibility in circumferential direction is applied only after the elimination of axial force; b) instead of hypothesis zero shear deformation the differential dependence between circumferential displacement and axial one is obtained from equilibrium equation of circumferential forces by neglecting the forth order derivative. The axial force is transmitted to shell by means of short solution which gives rise (as main variables in it) to a radial displacement, its angle of rotation, bending radial moment and radial force. The shear force is also generated by it. The latter one is equilibrated by long solution, which operates by circumferential displacement, axial one, axial force and shear force. The comparison of simplified approach consisted from short solution and enhanced Vlasov’s (long) solution with FEA results for a variety of radius to wall thickness ratio from big values and up to 20 shows a good accuracy of this approach. So, this rather simple approach can be used for solution of different problems for cylindrical shells.
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Reports on the topic "Vlasov theory"

1

Blaskiewicz, Michael. 3D Vlasov theory of the plasma cascade instability. Office of Scientific and Technical Information (OSTI), October 2019. http://dx.doi.org/10.2172/1572289.

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