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1995 On long time asymptotics of the Vlasov-Fokker-Planck equation and of the Vlasov-Poisson-Fokker-Planck system with Coulombic and Newtonian potentials
F. Bouchut, J. Dolbeault
Differential Integral Equations 8(3): 487-514 (1995).

Abstract

We prove that the solution of the Vlasov-Fokker-Planck equation converges to the unique stationary solution with same mass as time tends to infinity. The same result holds in the repulsive coulombic case for the Vlasov-Poisson-Fokker-Planck system; the newtonian attractive case is also studied. We establish positive and negative answers to the question of existence of a stationary solution for the last problem by examining the Poisson-Boltzmann equation.

Citation

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F. Bouchut. J. Dolbeault. "On long time asymptotics of the Vlasov-Fokker-Planck equation and of the Vlasov-Poisson-Fokker-Planck system with Coulombic and Newtonian potentials." Differential Integral Equations 8 (3) 487 - 514, 1995.

Information

Published: 1995
First available in Project Euclid: 23 May 2013

zbMATH: 0830.35129
MathSciNet: MR1306570

Subjects:
Primary: 82C31
Secondary: 35B40, 35Q99, 82D10

Rights: Copyright © 1995 Khayyam Publishing, Inc.

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Vol.8 • No. 3 • 1995
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