arXiv:1506.07626 Abstract | arXiv Analytics

arXiv:1506.07626 [math.AP]Abstract References Reviews Resources

Asymptotic stability of wave patterns to compressible viscous and heat-conducting gases in the half space

Published 2015-06-25Version 1

We study the large-time behavior of solutions to the compressible Navier-Stokes equations for a viscous and heat-conducting ideal polytropic gas in the one-dimensional half-space. A rarefaction wave and its superposition with a non-degenerate stationary solution are shown to be asymptotically stable for the outflow problem with large initial perturbation and general adiabatic exponent.

Comments: Contact tao.wang@whu.edu.cn for any comments. arXiv admin note: substantial text overlap with arXiv:1503.03922

Categories: math.AP

Subjects: 35B35, 35B40, 35Q35, 76N10

Keywords: half space, wave patterns, asymptotic stability, heat-conducting gases, compressible viscous

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