Global existence and asymptotic behavior for the 3D compressible Navier-Stokes equations without heat conductivity in a bounded domain

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• 作者：Guochun Wu ^{guochunwu@126.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：76W05 ; 35Q35 ; 35D05
• 刊名：Journal of Differential Equations
• 出版年：2017
• 出版时间：15 January 2017
• 年：2017
• 卷：262
• 期：2
• 页码：844-861
• 全文大小：338 K

文摘

In this paper, we investigate the global existence and uniqueness of strong solutions to the initial boundary value problem for the 3D compressible Navier–Stokes equations without heat conductivity in a bounded domain with slip boundary. The global existence and uniqueness of strong solutions are obtained when the initial data is near its equilibrium in H²(Ω)$H^2(\mathrm{\Omega })$. Furthermore, the exponential convergence rates of the pressure and velocity are also proved by delicate energy methods.