The Maxwell–Boltzmann approximation for ion kinetic modeling

Claude Bardos, François Golse, Toan T. Nguyen, Rémi Sentis

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The aim of this paper is to provide a justification of the Maxwell–Boltzmann approximation of electron density from kinetic models. First, under reasonable regularity assumption, we rigorously derive a reduced kinetic model for the dynamics of ions, while electrons satisfy the Maxwell–Boltzmann relation. Second, we prove that equilibria of the electrons distribution are local Maxwellians, and they can be uniquely determined from conserved mass and energy constants. Finally, we prove that the reduced kinetic model for ions is globally well-posed. The constructed weak solutions conserve energy.

Original languageEnglish (US)
Pages (from-to)94-107
Number of pages14
JournalPhysica D: Nonlinear Phenomena
Volume376-377
DOIs
StatePublished - Aug 1 2018

Fingerprint

kinetics
approximation
ions
electron distribution
regularity
energy
electrons

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

Cite this

Bardos, Claude ; Golse, François ; Nguyen, Toan T. ; Sentis, Rémi. / The Maxwell–Boltzmann approximation for ion kinetic modeling. In: Physica D: Nonlinear Phenomena. 2018 ; Vol. 376-377. pp. 94-107.
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The Maxwell–Boltzmann approximation for ion kinetic modeling. / Bardos, Claude; Golse, François; Nguyen, Toan T.; Sentis, Rémi.

In: Physica D: Nonlinear Phenomena, Vol. 376-377, 01.08.2018, p. 94-107.

Research output: Contribution to journalArticle

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