The Cauchy problem for the Vlasov-Maxwell equations
Glassey, Robert T., Schaeffer, Jack (1989)
Portugaliae mathematica
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Glassey, Robert T., Schaeffer, Jack (1989)
Portugaliae mathematica
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Vaisman, I. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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Dimitri Gurevich, Pavel Saponov (2011)
Banach Center Publications
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We consider Poisson pencils, each generated by a linear Poisson-Lie bracket and a quadratic Poisson bracket corresponding to a so-called Reflection Equation Algebra. We show that any bracket from such a Poisson pencil (and consequently, the whole pencil) can be restricted to any generic leaf of the Poisson-Lie bracket. We realize a quantization of these Poisson pencils (restricted or not) in the framework of braided affine geometry. Also, we introduce super-analogs of all these Poisson...
Jinn-Liang Liu, Dexuan Xie, Bob Eisenberg (2017)
Molecular Based Mathematical Biology
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We present a nonlocal electrostatic formulation of nonuniform ions and water molecules with interstitial voids that uses a Fermi-like distribution to account for steric and correlation efects in electrolyte solutions. The formulation is based on the volume exclusion of hard spheres leading to a steric potential and Maxwell’s displacement field with Yukawa-type interactions resulting in a nonlocal electric potential. The classical Poisson-Boltzmann model fails to describe steric and correlation...
Alex V. Kontorovich, Steven J. Miller (2005)
Acta Arithmetica
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Bruce Berndt, Lowell Schoenfeld (1975)
Acta Arithmetica
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Fréderique Charles, Nicolas Vauchelet, Christophe Besse, Thierry Goudon, Ingrid Lacroix–Violet, Jean-Paul Dudon, Laurent Navoret (2011)
ESAIM: Proceedings
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In this work, we consider the computation of the boundary conditions for the linearized Euler–Poisson derived from the BGK kinetic model in the small mean free path regime. Boundary layers are generated from the fact that the incoming kinetic flux might be far from the thermodynamical equilibrium. In [2], the authors propose a method to compute numerically the boundary conditions in the hydrodynamic limit relying on an analysis of the...
Mikami, Kentaro (1999)
Lobachevskii Journal of Mathematics
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David Gérard-Varet, Daniel Han-Kwan, Frédéric Rousset (2014)
Journal de l’École polytechnique — Mathématiques
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In this paper, we study the quasineutral limit of the isothermal Euler-Poisson equation for ions, in a domain with boundary. This is a follow-up to our previous work [], devoted to no-penetration as well as subsonic outflow boundary conditions. We focus here on the case of supersonic outflow velocities. The structure of the boundary layers and the stabilization mechanism are different.
Caprasse, H. (1997)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Alan Weinstein (2000)
Banach Center Publications
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Nakanishi, N. (1999)
Lobachevskii Journal of Mathematics
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J. Alvarez, M. Milman (1990)
Colloquium Mathematicae
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Knill, Oliver (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Robert Stańczy (2008)
Banach Center Publications
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The existence of steady states in the microcanonical case for a system describing the interaction of gravitationally attracting particles with a self-similar pressure term is proved. The system generalizes the Smoluchowski-Poisson equation. The presented theory covers the case of the model with diffusion that obeys the Fermi-Dirac statistic.