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Author:

Wang, Teng (Wang, Teng.) (Scholars:王腾)

Indexed by:

Scopus SCIE

Abstract:

In this paper, we are concerned with the long-time behavior of solution to the barotropic compressible Naiver-Stokes system in three dimensions with physically realistic outflow condition. It is shown that the superposition of a planar boundary layer (both subsonic case and transonic case) and a planar rarefaction wave is time asymptotically stable under small initial perturbation, provided that the magnitude of the stationary solution is sufficiently small, while the wave strength of rarefaction wave may be large. This is the first result on the stability of composite wave patterns for the barotropic compressible Navier-Stokes system in high dimensions with outflow boundary condition. Our approach is based on the nonlinear energy methods. (C) 2022 Elsevier Inc. All rights reserved.

Keyword:

Planar rarefaction wave Compressible Navier-Stokes system Planar stationary solution Long-time behavior Outflow boundary condition

Author Community:

  • [ 1 ] [Wang, Teng]Beijing Univ Technol, Coll Math, Fac Sci, Beijing 100124, Peoples R China

Reprint Author's Address:

  • 王腾

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Related Keywords:

Source :

JOURNAL OF DIFFERENTIAL EQUATIONS

ISSN: 0022-0396

Year: 2022

Volume: 323

Page: 312-358

2 . 4

JCR@2022

2 . 4 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:20

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 8

SCOPUS Cited Count: 8

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 8

Affiliated Colleges:

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