Macroscopic limit of Vlasov type equations with friction

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Abstract

The purpose of this paper is to investigate the limit of some kinetic equations with a strong force. Due to friction, the solution concentrates to a monokinetic distribution so as to keep the total of force bounded and in the limit we recover a macroscopic system. This kind of asymptotics is a natural question when the mass of the particles is very small or their inertia is neglected. After that we also study the properties of the limit system and especially the uniqueness of solutions which provides the full convergence of the family of solutions to the kinetic equation.

Original languageEnglish (US)
Pages (from-to)651-672
Number of pages22
JournalAnnales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume17
Issue number5
DOIs
StatePublished - Sep 2000

All Science Journal Classification (ASJC) codes

  • Analysis
  • Mathematical Physics
  • Applied Mathematics

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