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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.
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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
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