Asymptotic stability of wave patterns to compressible viscous and heat-conducting gases in the half space
Asymptotic stability of wave patterns to compressible viscous and heat-conducting gases in the half space
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DOI：
10.1016/j.jde.2016.08.032
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发表时间：
2015-06
期刊：
影响因子：
--
通讯作者：
L. Wan;Tao Wang;Huijiang Zhao
中科院分区：
文献类型：
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作者：
L. Wan;Tao Wang;Huijiang Zhao
本文研究了一维半空间中理想多方粘性导热气体可压缩Navier-Stokes方程解的大时间行为。对于具有大的初始扰动和一般绝热指数的外流问题，证明了稀疏波及其与非退化定态解的叠加是渐近稳定的。
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.