On the Navier-Stokes equations in the half-space with initial and boundary rough data in Morrey spaces

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:254

Article

de Almeida, Marcelo Fernandes¹  Ferreira, Lucas C. F.¹ 

[1] Univ Estadual Campinas, IMECC, Dept Matemat, BR-13083859 Campinas, SP, Brazil

关键词: Navier-Stokes equations;    Initial-boundary value problem;    Self-similarity;    Asymptotic stability;    Morrey spaces;   

DOI  :  10.1016/j.jde.2012.11.001

来源: Elsevier

【 摘 要 】

We consider the initial-boundary value problem for the Navier-Stokes equations in the half-space with data in Morrey spaces. Existence of small global solutions is proved in spaces with the right homogeneity to allow self-similar solutions. Moreover, we analyze the long time behavior of the solutions and obtain a class of asymptotically self-similar ones. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free