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Stability of degenerate stationary solution to the outflow problem for full Navier–Stokes equations
Communications in Mathematical Sciences ( IF 1 ) Pub Date : 2021-01-01
Yazhou Chen, Hakho Hong, Xiaoding Shi

This paper is concerned with large-time behavior of solutions to the outflow problem of full compressible Navier–Stokes equations in the half line. This is one out of the series of papers by the authors on the stability of nonlinear waves to the outflow problem. We show the time-asymptotic stability of degenerate (transonic) stationary solution for the general gas including ideal polytropic gas. The proof is based on delicate energy estimates.

中文翻译:

全纳维-斯托克斯方程流出问题退化平稳解的稳定性

本文关注的是半线中完全可压缩 Navier-Stokes 方程的流出问题解的长时间行为。这是作者关于非线性波对流出问题的稳定性的系列论文之一。我们展示了包括理想多方气体在内的一般气体的简并(跨音速)平稳解的时间渐近稳定性。证明是基于微妙的能量估计。
更新日期:2021-01-01
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