Collisional Vlasov-Poisson system
Multiscale schemes for the BGK-Vlasov-Poisson system in the quasi-neutral and fluid limits. Stability analysis and first order schemes.
... October 16, 2014 Abstract This paper deals with the development and the analysis of asymptotic stable and consistent schemes in the joint quasi-neutral and fluid limits for the collisional ...
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Collisional sheath solutions of a bi-species Vlasov-Poisson-Boltzmann boundary value problem
... stationary Vlasov-Poisson-Boltzmann system and the Boltzmann equation in bounded ...tionnary Vlasov-Poisson-Boltzmann in bounded domain has been studied by Bostan and al in [ 18 ...
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Asymptotically stable particle-in-cell methods for the Vlasov-Poisson system with a strong external magnetic field
... to collisional kinetic equations in hydrodynamic or diffusion asymptotic, collisionless equations like the Vlasov-Poisson system ...in collisional regimes since we cannot expect any ...
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Stability analysis of a Vlasov-Wave system describing particles interacting with their environment
... the Vlasov-Wave system ...the Vlasov equation (1), we develop a variational approach, strongly inspired by the analysis of the gravitational Vlasov– Poisson system [14, 18, 19, ...
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Monokinetic charged particle beams: qualitative behavior of the solutions of the Cauchy problem and 2d time-periodic solutions of the Vlasov-Poisson system
... For this study, our main mathematical reference is a paper by J. Batt, H. Berestycki, P. Degond & B. Perthame [BBDP] (three-dimensional Vlasov-Poisson system in the gravi- tational case). ...
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Trace class properties of the non homogeneous linear Vlasov-Poisson equation in dimension 1+1
... reduced Vlasov equation is made possible by means of a specific Ricatti equation which has no simple equivalent in higher dimensions; and also the version of the Diperna-Lions Theorem of compactness used to ...
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Periodic Solutions of the 1D Vlasov-Maxwell System with Boundary Conditions
... 101 - 54602 Villers lès Nancy Cedex France Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu - 35042 Rennes Cedex France Unité de recherche INRIA Rhône-Alpes : 65[r] ...
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Collisional cooling of ultracold molecules
... of collisional cooling in the micro- and nanokelvin ...However, collisional cooling in the absolute ground state of chemically stable systems has not yet been ...preclude collisional cooling, ...
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The Vlasov-Ampère system and the Bernstein-Landau paradox *
... the Vlasov-Maxwell equations, only the Vlasov equation remains, as well as the Amp` ere equation, and the Gauss ...the Vlasov-Amp` ere system. Further, both the Vlasov and the Amp` ere ...
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PARTICLE-IN-WAVELETS SCHEME FOR THE 1D VLASOV-POISSON EQUATIONS
... the Vlasov equations, it is well known that particle methods offer a more straightforward implementation and an easier parallelization than their Eulerian ...
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On global existence and trend to the equilibrium for the Vlasov-Poisson-Fokker-Planck system with exterior confining potential
... the Vlasov-Poisson-Fokker-Planck system with small non linear term but with a possibly large exterior confining potential in dimension d = 2 and d = ...
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Enhanced convergence estimates for semi-lagrangian schemes Application to the Vlasov-Poisson equation
... 2 Application The computation of a numerical solution to the Vlasov-Poisson equation is very heavy task from the CPU point of view. It is therefore of major interest to study optimal numerical strategies ...
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Example of supersonic solutions to a steady state Euler-Poisson system
... Universit´ e Blaise Pascal (Clermont-Ferrand 2), 63177 Aubi` ere cedex, France E-mail : peng@math.univ-bpclermont.fr, violet@math.univ-bpclermont.fr Abstract. We give an example of supersonic solutions to a ...
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Collisional zonal flow damping for ITG modes
... that collisional e¤ects could signi…cantly reduce the residual zonal ‡ow to a level much smaller [5] than the collisionless kinetic theory predicts ...This collisional zonal ‡ow damping has been tested by ...
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Finite Volume Schemes for Vlasov
... Editors: Will be set by the publisher FINITE VOLUME SCHEMES FOR VLASOV ∗ N. Crouseilles 1 , P. Glanc 2 , M. Mehrenberger 3 and C. Steiner 4 Abstract. We present finite volumes schemes for the numerical ...
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Stability of a slab collisional microtearing mode
... strongly collisional regime consistently with [10, 11] ...the Vlasov-Maxwell system of equation that determines the evolution of the electron and ion distribution function, as formulated by the ...
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"Etre « de la nature du poisson » sans être « véritable » poisson : le cas de la Macreuse, oiseau comme animal, poisson comme chère"
... Caresme publié un an plus tôt par Philippe Hecquet, lui-même docteur régent de la faculté de médecine de Paris 52 . C’est au titre des « amphibies » que ce dernier a traité des macreuses et « d’autres semblables oiseaux ...
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Construction des opérateurs de Moller Pour l'équation de Vlasov
... < 1 as a consequence of γ > 0, the Cauchy data G(0) is uniquely determined, which is enough to construct the function in the entire interval with the Cauchy-Lipshitz theorem. Therefore F is known from w. After that ...
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Le développement du système nerveux : de la mouche au poisson, du poisson à l’homme…
... de poisson codant pour l’homologue de SDF-1: le gène sdf1a est ainsi exprimé par une bande d’une largeur de 2-3 cellules qui définit exactement le chemin que suit le primordium pendant sa migration ( Figure 2B ...
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Multiscale Particle-in-Cell methods and comparisons for the long-time two-dimensional Vlasov-Poisson equation with strong magnetic field
... Many multiscale techniques have been devoted to design numerical integrators dedicated to the solving of highly oscillatory problems under different context. For kinetic models in high dimensions, the multiscale schemes ...
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