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Showing papers by "Jean Dolbeault published in 1991"

Journal Article•DOI•
On long time asymptotics of the vlasov—poisson—boltzmann equation

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Laurent Desvillettes, Jean Dolbeault
01 Jan 1991-Communications in Partial Differential Equations
TL;DR: In this article, the authors deal with the long time asymptotics of the Vlasov-mdash; Poisson-MDash; Boltzmann equation and prove existence and uniqueness for the equation.
Abstract: We deal with the long time asymptotics of the Vlasovmdash;Poissonmdash;Boltzmann equation. We prove existence and uniqueness for the equation giving the electric potential at the limit.

73 citations

Journal Article•DOI•
Stationary states in plasma physics: maxwellian solutions of the vlasov-poisson system

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Jean Dolbeault1, Jean Dolbeault2•
Paul Sabatier University1, University of Paris2
01 Jun 1991-Mathematical Models and Methods in Applied Sciences
TL;DR: In this article, the authors studied the Maxwellian solutions of the stationary Vlasov-Poisson system, which describes stationary states for plasma, and proved existence, uniqueness and regularity results for these solutions.
Abstract: We study the Maxwellian solutions of the stationary Vlasov-Poisson system, which describes stationary states for plasma. We prove existence, uniqueness and regularity results for these solutions.

37 citations