Gevrey regularity for the Navier-Stokes in a half-space

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:265

Article

Camliyurt, Guher¹  Kukavica, Igor¹  Vicol, Vlad² 

[1] Univ Southern Calif, Dept Math, Los Angeles, CA 90089 USA

[2] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

关键词: Real analyticity;    Gevrey regularity;    Bounded domain;    Navier-Stokes equations;   

DOI  :  10.1016/j.jde.2018.05.026

来源: Elsevier

【 摘 要 】

We consider the Navier-Stokes equations posed on the half space, with Dirichlet boundary conditions. We give a direct energy-based proof for the instantaneous space-time analyticity and Gevrey-class regularity of the solution, uniformly up to the boundary of the half space. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free