A STABILITY PROBLEM FOR THE 3D MAGNETOHYDRODYNAMIC EQUATIONS NEAR EQUILIBRIUM  

作　　者：Xueli KE Baoquan YUAN Yaomin XIAO 可雪丽;原保全;肖亚敏(School of Mathematics and Information Science,Henan Polytechnic University,Henan 454000,China)

机构地区：[1]School of Mathematics and Information Science,Henan Polytechnic University,Henan 454000,China

出　　处：《Acta Mathematica Scientia》2021年第4期1107-1118,共12页数学物理学报（B辑英文版）

基　　金：The second author is supported by the National Natural Science Foundation of China(11471103).

摘　　要：This paper is concerned with a stability problem on perturbations near a physically important steady state solution of the 3D MHD system.We obtain three major results.The first assesses the existence of global solutions with small initial data.Second,we derive the temporal decay estimate of the solution in the L^(2)-norm,where to prove the result,we need to overcome the difficulty caused by the presence of linear terms from perturbation.Finally,the decay rate in L^(2) space for higher order derivatives of the solution is established.

关 键 词：Background magnetic field MHD equations with perturbation STABILITY decay rate 

分 类 号：O361.3[理学—流体力学]