Large time behavior of the semigroup on LP spaces associated with the linearized compressible Navier-Stokes equation in a cylindrical domain

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:248

Article

Kagei, Yoshiyuki¹ 

[1] Kyushu Univ, Fac Math, Fukuoka 8128581, Japan

关键词: Compressible Navier-Stokes equation;    Large time behavior;    Cylindrical domain;   

DOI  :  10.1016/j.jde.2009.06.013

来源: Elsevier

【 摘 要 】

Large time behavior of solutions to the linearized compressible Navier-Stokes equation around the motionless state in a cylindrical domain is investigated. The L-P decay estimates of the associated semigroup are established for all 1 < p < infinity. It is also shown that the time-asymptotic leading part of the semigroup is given by a one-dimensional heat semigroup. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

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