Commutator estimates with fractional derivatives and local existence for the generalized MHD equations

被引：4
|
作者：
Jiang, Zaihong [1 ]
Ma, Caochuan [2 ]
Zhou, Yong [1 ,3 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
[2] Tianshui Normal Univ, Dept Math, Tianshui 741001, Peoples R China
[3] Sun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2021年 / 72卷 / 03期
关键词：
Fourier analysis; Generalized MHD system; Local existence; Regularity; 74D05; 35Q72; 35L70; 35B40; GAGLIARDO-NIRENBERG; REGULARITY CRITERIA; EULER EQUATIONS; WELL-POSEDNESS;
D O I：
10.1007/s00033-021-01539-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers the problem of the local existence for the generalized MHD equations with fractional dissipative terms Lambda 2 alpha u for the velocity field and Lambda 2 beta b for the magnetic field, respectively. Based on some new commutator estimates, local existence for the generalized MHD equations is established, which recovers and improves previous results.
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页数：13
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