On Caccioppoli's inequalities of Stokes equations and Navier-Stokes equations near boundary

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:269

Article

Chang, Tongkeun¹  Kang, Kyungkeun¹ 

[1] Yonsei Univ, Dept Math, Seoul, South Korea

关键词: Navier-Stokes equations;    Caccioppoli's inequalities;    Very weak solutions;   

DOI  :  10.1016/j.jde.2020.05.013

来源: Elsevier

【 摘 要 】

We study Caccioppoli's inequalities of the non-stationary Stokes equations and Navier-Stokes equations. Our analysis is local near boundary and we prove that, in contrast to the interior case, the Caccioppoli's inequalities of the Stokes equations and the Navier-Stokes equations, in general, fail near boundary. (c) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free