A STABILITY PROBLEM FOR THE 3D MAGNETOHYDRODYNAMIC EQUATIONS NEAR EQUILIBRIUM

• 作者: Xueli KE Baoquan YUAN Yaomin XIAO
• 来源期刊: 数学物理学报（英文版）
• 年，卷（期）: 2021,（4）
• 页码范围: 1107-1118
• 页数: 12页
• 语种: 英文
• DOI: 10.3969/j.issn.0252-9602.2021.04.005

摘要

This paper is concerned with a stability problem on perturbations near a physi-cally 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 L2-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 L2 space for higher order derivatives of the solution is established.