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arXiv · 1506.07626

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

Ling Wan·Tao Wang·Huijiang Zhao
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Abstract

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.

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Ling Wan, Tao Wang, Huijiang Zhao. 2015-06-25. Asymptotic stability of wave patterns to compressible viscous and heat-conducting gases in the half space. https://doi.org/10.1016/j.jde.2016.08.032

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