Liouville-type theorem for the steady compressible Hall-MHD system

被引：6

作者：

Zeng, Yong ^{[1
]}

机构：

[1] Chongqing Technol & Business Univ, Sch Math & Stat, Chongqing 400067, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 01期

关键词：

Liouville-type theorem; steady compressible Hall-MHD; PLASMA OPENING SWITCH; GLOBAL EXISTENCE; MAGNETOHYDRODYNAMIC SYSTEM; MAGNETIC RECONNECTION; TEMPORAL DECAY; WELL-POSEDNESS; BLOW-UP; EQUATIONS; RATES;

D O I：

10.1002/mma.4605

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove a Liouville-type theorem for the steady compressible Hall-magnetohydrodynamics system in , where is whole space R3 or half space <mml:msubsup>R+3</mml:msubsup>. We show that a smooth solution (,u,B,P) satisfying 1/C-0<<C-0, uL9/2()?L3/2(), and BL9/2() for some constant C-0>0 is indeed trivial. This generalizes and improves 2 results of Chae.

引用

页码：205 / 211

页数：7

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