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.
作者
可雪丽
原保全
肖亚敏
Xueli KE;Baoquan YUAN;Yaomin XIAO(School of Mathematics and Information Science,Henan Polytechnic University,Henan 454000,China)
基金
The second author is supported by the National Natural Science Foundation of China(11471103).