Global existence of solutions to the compressible Navier-Stokes equation around parallel flows

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:251

Article

Kagei, Yoshiyuki

关键词: Compressible Navier-Stokes equation;    Global existence;    Parallel flow;   

DOI  :  10.1016/j.jde.2011.06.020

来源: Elsevier

【 摘 要 】

The initial boundary value problem for the compressible Navier-Stokes equation is considered in an infinite layer of R(n). 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. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free