Year: 2019
Annals of Applied Mathematics, Vol. 35 (2019), Iss. 3 : pp. 317–356
Abstract
The paper is concerned with time-asymptotic behavior of solution near a local Maxwellian with rarefaction wave to a fluid-particle model described by the Vlasov-Fokker-Planck equation coupled with the compressible and inviscid fluid by Euler-Poisson equations through the relaxation drag frictions, Vlasov forces between the macroscopic and microscopic momentums and the electrostatic potential forces. Precisely, based on a new micro-macro decomposition around the local Maxwellian to the kinetic part of the fluid-particle coupled system, which was first developed in [16], we show the time-asymptotically nonlinear stability of rarefaction wave to the one-dimensional compressible inviscid Euler equations coupled with both the Vlasov-Fokker-Planck equation and Poisson equation.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2019-AAM-18085
Annals of Applied Mathematics, Vol. 35 (2019), Iss. 3 : pp. 317–356
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 40
Keywords: fluid-particle model rarefaction wave time-asymptotic stability.