Higher order commutator estimates and local existence for the non-resistive MHD equations and related models
Higher order commutator estimates and local existence for the non-resistive MHD equations and related models
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DOI：
10.1016/j.jfa.2014.03.021
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发表时间：
2014-01
影响因子：
1.7
通讯作者：
C. Fefferman;D. McCormick;James C. Robinson;José L. Rodrigo
中科院分区：
文献类型：
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作者：
C. Fefferman;D. McCormick;James C. Robinson;José L. Rodrigo
本文建立了R n， n= 2,3中黏性、无阻性磁流体动力学（MHD）方程在H s中对于s b> n/2的强解的局域存在唯一性，以及从速度方程中去掉平流项的相关模型。证明存在所需的一致界是通过一个新的估计来建立的，该估计是Kato和Ponce(1988)[13]的换向子估计的部分推广。
This paper establishes the local-in-time existence and uniqueness of strong solutions in H s for s> n/2 to the viscous, non-resistive magnetohydrodynamics (MHD) equations in R n, n= 2, 3, as well as for a related model where the advection terms are removed from the velocity equation. The uniform bounds required for proving existence are established by means of a new estimate, which is a partial generalisation of the commutator estimate of Kato and Ponce (1988)[13].