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author:

Wang, Weiwei (Wang, Weiwei.) [1] (Scholars:王伟伟)

Indexed by:

EI Scopus SCIE

Abstract:

A fluid-particles system of the compressible Navier-Stokes equations and Vlasov-Fokker-Planck equation (including the case of Vlasov equation) in three-dimensional space is considered in this paper. The coupling arises from a drag force exerted by the fluid onto the particles. We study a Cauchy problem with large data, and establish the existence of global weak solutions through an approximation scheme, energy estimates, and weak convergence. Copyright (c) 2016John Wiley & Sons, Ltd.

Keyword:

compressible flows Galerkin method Navier-Stokes equations Vlasov-Fokker-Planck equations weak convergence arguments weak solutions

Community:

  • [ 1 ] [Wang, Weiwei]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 361000, Peoples R China

Reprint 's Address:

  • 王伟伟

    [Wang, Weiwei]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 361000, Peoples R China

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Source :

MATHEMATICAL METHODS IN THE APPLIED SCIENCES

ISSN: 0170-4214

Year: 2016

Issue: 3

Volume: 39

Page: 508-526

1 . 0 1 7

JCR@2016

2 . 1 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

ESI HC Threshold:76

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 1

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

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