Global existence of solutions to the compressible Navier-Stokes equation around parallel flows
Global existence of solutions to the compressible Navier-Stokes equation around parallel flows
复制标题
并行流周围可压缩纳维-斯托克斯方程解的全局存在性
DOI：
10.1016/j.jde.2011.06.020
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
Yoshiyuki Kagei
中科院分区：
文献类型：
--
作者：
Dawson;J.R.;Yoshiyuki Kagei
在Rn的无限层中考虑可压缩Navier-Stokes方程的初边值问题。证明了当n ≥ 3时，在雷诺数和马赫数足够小的条件下，对于足够小的初始扰动，平行流中可压缩Navier-Stokes方程的强解在时间上全局存在.的证明是由一个变种的松村-西田能量方法的基础上分解的解决方案与线性化运营商的频谱特性。
The initial boundary value problem for the compressible Navier–Stokes equation is considered in an infinite layer of Rn. It is proved that if n⩾3, then strong solutions to the compressible Navier–Stokes equation around parallel flows exist globally in time for sufficiently small initial perturbations, provided that the Reynolds and Mach numbers are sufficiently small. The proof is given by a variant of the Matsumura–Nishida energy method based on a decomposition of solutions associated with a spectral property of the linearized operator.