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

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:262

Article

Wu, Guochun¹ 

[1] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R China

关键词: Navier-Stokes equations;    Global existence;    Asymptotic behavior;    Bounded domain;   

DOI  :  10.1016/j.jde.2016.09.046

来源: Elsevier

【 摘 要 】

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 H-2(Omega). Furthermore, the exponential convergence rates of the pressure and velocity are also proved by delicate energy methods. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free