Optimal convergence rates for the strong solutions to the compressible Navier-Stokes equations with potential force

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• 作者：Wenjun Wang ^{wwj001373@hotmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Compressible Navier&ndash ; Stokes equations ; Potential force ; Global existence ; Optimal convergence rate
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：34
• 期：Complete
• 页码：363-378
• 全文大小：682 K

文摘

In this paper, we consider the effect of external force on the large-time behavior of solutions to the Cauchy problem for the three-dimensional full compressible Navier–Stokes equations. We construct the global unique solution near the stationary profile to the system for the small H²(R³)$H^2\left({\mathbb{R}}^3\right)$ initial data. Moreover, the optimal L^p$L^p$–L²$L^2$$(1\le p\le 2)$ time decay rates of the solution to the system are established via a low frequency and high frequency decomposition.