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author:

Dou, C. (Dou, C..) [1] | Jiang, F. (Jiang, F..) [2] | Jiang, S. (Jiang, S..) [3] | Yang, Y.-F. (Yang, Y.-F..) [4]

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Scopus

Abstract:

We prove that there exists a strong solution to the Dirichlet boundary value problem for the steady Navier-Stokes equations of a compressible heat-conductive fluid with large external forces in a bounded domain Ω⊂Rd (. d=. 2, 3), provided that the Mach number is appropriately small. At the same time, the low Mach number limit is rigorously verified. The basic idea in the proof is to split the equations into two parts, one of which is similar to the steady incompressible Navier-Stokes equations with large forces, while another part corresponds to the steady compressible heat-conductive Navier-Stokes equations with small forces. The existence is then established by dealing with these two parts separately, establishing uniform in the Mach number a priori estimates and exploiting the known results on the steady incompressible Navier-Stokes equations. © 2014 Elsevier Masson SAS.

Keyword:

Dirichlet boundary condition; Existence of strong solutions; Large external forces; Low Mach number limit; Steady compressible heat-conductive Navier-Stokes equations

Community:

  • [ 1 ] [Dou, C.]School of Statistics, Capital University of Economics and Business, Beijing, 100070, China
  • [ 2 ] [Jiang, F.]Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing, 100088, China
  • [ 3 ] [Jiang, F.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, 350108, China
  • [ 4 ] [Jiang, S.]School of Statistics, Capital University of Economics and Business, Beijing, 100070, China
  • [ 5 ] [Yang, Y.-F.]Department of Mathematics, College of Sciences, Hohai University, Nanjing, Jiangsu Province, 210098, China

Reprint 's Address:

  • [Dou, C.]School of Statistics, Capital University of Economics and BusinessChina

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Source :

Journal des Mathematiques Pures et Appliquees

ISSN: 0021-7824

Year: 2015

Issue: 5

Volume: 103

Page: 1163-1197

1 . 8 1 8

JCR@2015

2 . 1 0 0

JCR@2023

ESI HC Threshold:86

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 16

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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