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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 Omega subset of R-d (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. (C) 2014 Elsevier Masson SAS. All rights reserved.
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Source :
JOURNAL DE 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 Discipline: MATHEMATICS;
ESI HC Threshold:86
JCR Journal Grade:1
CAS Journal Grade:1
Cited Count:
WoS CC Cited Count: 13
SCOPUS Cited Count: 16
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 2
Affiliated Colleges: