Anisotropic Liouville type theorem for the MHD system in Rn

被引：2

作者：

Chae, Dongho ^{[1
]}

机构：

[1] Chung Ang Univ, Dept Math, Seoul 156756, South Korea

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2023年 / 64卷 / 12期

基金：

新加坡国家研究基金会;

关键词：

NAVIER-STOKES EQUATIONS;

D O I：

10.1063/5.0159958

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we study the Liouville type problem for stationary magnetohydrodynamic equations in R-n. We show that under certain anisotropic integrability conditions on the components of the velocity and the magnetic field the solution is trivial.

引用

页数：5

共 15 条

[1] Anisotropic Liouville type theorem for the stationary Navier-Stokes equations in R3
Chae, Dongho
[J]. APPLIED MATHEMATICS LETTERS, 2023, 142
[2] On Liouville type theorems for the steady Navier-Stokes equations in R3
Chae, Dongho
Wolf, Joerg
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 261 (10) : 5541 - 5560
[3] Liouville-Type Theorems for the Forced Euler Equations and the Navier-Stokes Equations
Chae, Dongho
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2014, 326 (01) : 37 - 48
[4] On the Liouville theorem for the stationary Navier-Stokes equations in a critical space
Chae, Dongho
Yoneda, Tsuyoshi
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 405 (02) : 706 - 710
[5] Some Liouville theorems for stationary Navier-Stokes equations in Lebesgue and Morrey spaces
Chamorro, Diego
Jarrin, Oscar
Lemarie-Rieusset, Pierre-Gilles
[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2021, 38 (03): : 689 - 710
[6] Remarks on Liouville-Type Theorems for the Steady MHD and Hall-MHD Equations
Chen, Xiaomeng
Li, Shuai
Wang, Wendong
[J]. JOURNAL OF NONLINEAR SCIENCE, 2022, 32 (01)
[7] Galdi GP, 2011, SPRINGER MONOGR MATH, P1, DOI 10.1007/978-0-387-09620-9
[8] Gilbarg D., 1978, Ann. Sc. Norm. Super. Pisa-Classe Sci, V5, P381
[9] Liouville theorems for the Navier-Stokes equations and applications
Koch, Gabriel
Nadirashvili, Nikolai
Seregin, Gregory A.
Sverak, Vladimir
[J]. ACTA MATHEMATICA, 2009, 203 (01) : 83 - 105
[10] The Liouville Theorem for the Steady-State Navier-Stokes Problem for Axially Symmetric 3D Solutions in Absence of Swirl
Korobkov, Mikhail
Pileckas, Konstantin
Russo, Remigio
[J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2015, 17 (02) : 287 - 293

← 1 2 →