ON SOME LIOUVILLE TYPE THEOREMS FOR THE COMPRESSIBLE NAVIER-STOKES EQUATIONS

被引：15

作者：

Li, Dong ^{[1
]}

Yu, Xinwei ^{[2
]}

机构：

[1] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

[2] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2014年 / 34卷 / 11期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Compressible Navier-Stokes; Liouville;

D O I：

10.3934/dcds.2014.34.4719

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove several Liouville type results for stationary solutions of the d-dimensional compressible Navier-Stokes equations. In particular, we show that when the dimension d >= 4, the natural requirements p is an element of L-infinity (R-d),v is an element of H-1 (R-d) suffice to guarantee that the solution is trivial. For dimensions d = 2,3, we assume the extra condition v is an element of L (3d/d-1) (R-d). This improves a recent result of Chae [1].

引用

页码：4719 / 4733

页数：15