Stability of stationary solutions to the outflow problem for full compressible Navier–Stokes equations with large initialperturbation
Stability of stationary solutions to the outflow problem for full compressible Navier–Stokes equations with large initialperturbation
复制标题
大初始扰动全可压缩纳维斯托克斯方程流出问题平稳解的稳定性
DOI：
10.1088/0951-7715/29/4/1329
复制
发表时间：
2016
期刊：
影响因子：
1.7
通讯作者：
邹青洋
中科院分区：
文献类型：
--
作者：
万灵;王涛;邹青洋
研究粘性和导热理想多变气体半直线上可压缩Navier-Stokes方程流出问题解的大时间性态。在边界强度足够小的情况下，证明了非退化定常解在大的初始摄动下是渐近稳定的，且对绝热指数没有限制。证明的基础是非线性能量估计，关键一步是在时间和空间上均匀地获得密度和温度的正的上下界。
We investigate the large-time behavior of solutions to an outflow problem of the compressible Navier–Stokes equations for viscous and heat-conducting ideal polytropic gases in the half line. The non-degenerate stationary solution is shown to be asymptotically stable under large initial perturbation with no restriction on the adiabatic exponent, provided that the boundary strength is sufficiently small. The proofs are based on the nonlinear energy estimates and the crucial step is to obtain positive lower and upper bounds of the density and the temperature uniformly in time and space.