Liouville theorems for the stationary Navier-Stokes equation on a hyperbolic space

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:460

Article

Chan, Chi Hin¹  Czubak, Magdalena² 

[1] Natl Chiao Tung Univ, Dept Appl Math, 1001 Ta Hsueh Rd, Hsinchu 30010, Taiwan

[2] Univ Colorado Boulder, Dept Math, Campus Box 395, Boulder, CO 80309 USA

关键词: Steady state;    Stationary Navier-Stokes;    Lionville theorems;    Hyperbolic space;   

DOI  :  10.1016/j.jmaa.2017.11.037

来源: Elsevier

【 摘 要 】

The problem for the stationary Navier-Stokes equation in 3D under finite Dirichlet norm is open. In this, paper we answer the analogous question on the 3D hyperbolic space. We also address other dimensions and more general manifolds. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free