A Liouville type theorem for the stationary compressible Navier-Stokes equations

被引：4

作者：

Liu, Pan ^{[1
]}

机构：

[1] Yulin Univ, Sch Math & Stat, Yulin 719000, Shaanxi, Peoples R China

来源：

ANALYSIS AND MATHEMATICAL PHYSICS | 2022年 / 12卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Liouville type theorem; Compressible Navier-Stokes equations; Stationary system; REGULARITY; POSEDNESS; FLOWS; MHD;

D O I：

10.1007/s13324-022-00736-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper is dedicated to the Liouville type problem for the three-dimensional stationary barotropic compressible Navier-Stokes equations. We show that the velocity is trivial under some additional assumptions stated in terms of Lebesgue and BMO-1 spaces.

引用

页数：10

共 20 条

[11] Regularity of solutions to the Navier-Stokes equations for compressible barotropic flows on a polygon [J].

Kweon, JR ;

Kellogg, RB .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2002, 163 (01) :35-64

[12] ON SOME LIOUVILLE TYPE THEOREMS FOR THE COMPRESSIBLE NAVIER-STOKES EQUATIONS [J].

Li, Dong ;

Yu, Xinwei .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2014, 34 (11) :4719-4733

[13] Notes on Liouville type theorems for the stationary compressible Navier-Stokes equations [J].

Li, Zhouyu ;

Niu, Pengcheng .

APPLIED MATHEMATICS LETTERS, 2021, 114

[14]

Lions P.L, 1996, COMPRESSIBLE MODELS, V3

[15] Some Liouville-type theorems for the stationary density-dependent Navier-Stokes equations [J].

Liu, Pan ;

Liu, Genqian .

JOURNAL OF MATHEMATICAL PHYSICS, 2022, 63 (01)

[16]

Novotny A., 2004, OXFORD LECT SERIES M

[17] Liouville type theorem for stationary Navier-Stokes equations [J].

Seregin, G. .

NONLINEARITY, 2016, 29 (08) :2191-2195

[18]

Stein E., 1993, Monographs in Harmonic Analysis, V43

[19] Liouville-type theorem for the steady compressible Hall-MHD system [J].

Zeng, Yong .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (01) :205-211

[20] A Liouville theorem for the compressible Navier-Stokes equations [J].

Zhong, Xin .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (13) :5091-5095

← 1 2 →