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Author:

Cao, Wentao (Cao, Wentao.) | Wang, Teng (Wang, Teng.) (Scholars:王腾)

Indexed by:

Scopus SCIE

Abstract:

We establish the vanishing viscosity limit of viscous Burgers-Vlasov equations for one dimensional kinetic model about interactions between a viscous fluid and dispersed particles by using compensated compactness technique and the evolution of level sets arguments. The limit we obtained is exactly a finite-energy weak solution to the inviscid equations.

Keyword:

finite-energy weak solution vanishing viscosity limit Vlasov equation two phase flow Burgers equation

Author Community:

  • [ 1 ] [Cao, Wentao]Univ Leipzig, Inst Math, D-04109 Leipzig, Germany
  • [ 2 ] [Wang, Teng]Beijing Univ Technol, Fac Sci, Sch Math, Beijing 100124, Peoples R China

Reprint Author's Address:

  • 王腾

    [Wang, Teng]Beijing Univ Technol, Fac Sci, Sch Math, Beijing 100124, Peoples R China

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Source :

COMMUNICATIONS IN MATHEMATICAL SCIENCES

ISSN: 1539-6746

Year: 2020

Issue: 4

Volume: 18

Page: 1135-1148

1 . 0 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:46

Cited Count:

WoS CC Cited Count: 1

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

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