STATIONARY WAVE ASSOCIATED WITH AN INFLOW PROBLEM IN THE HALF LINE FOR VISCOUS HEAT-CONDUCTIVE GAS
STATIONARY WAVE ASSOCIATED WITH AN INFLOW PROBLEM IN THE HALF LINE FOR VISCOUS HEAT-CONDUCTIVE GAS
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DOI：
10.1142/s0219891611002524
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发表时间：
2011-12
影响因子：
0.7
通讯作者：
Tohru Nakamura;S. Nishibata
中科院分区：
文献类型：
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作者：
Tohru Nakamura;S. Nishibata
研究了一维半空间中可压缩粘性气体的理想多方模型解的大时间行为。我们考虑的流入问题的气体进入该地区通过边界，我们表明，相应的固定的解决方案是时间渐近稳定的亚音速和跨音速的情况下。渐近稳定性的证明是基于先验估计的扰动从固定的解决方案，这是由一个标准的能量方法，提供的边界强度和初始扰动在一定的Sobolev空间是足够小的。
We study the large-time behavior of solutions to an ideal polytropic model of compressible viscous gases in one-dimensional half space. We consider an inflow problem where the gas enter into the region through the boundary, and we show that a corresponding stationary solution is time-asymptotically stable in both the subsonic and transonic cases. The proof of asymptotic stability is based on a priori estimates of the perturbation from the stationary solution, which are derived by a standard energy method, provided the boundary strength and the initial perturbation in a certain Sobolev space are sufficiently small.