The Regularity of Very Weak Solutions to Magneto-Hydrodynamics Equations

被引：0
|
作者：
Lai, Baishun
Tang, Ge [1 ]
机构：
[1] Hunan Normal Univ, LCSM MOE, Changsha 410081, Hunan, Peoples R China
来源：
JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2023年 / 25卷 / 03期
关键词：
MHD equations; Duality argument; Very weak solutions; Regularity; NAVIER-STOKES EQUATIONS; INTERIOR REGULARITY; MHD; CRITERIA; STATIONARY;
D O I：
10.1007/s00021-023-00805-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, employing the duality technique, we prove that the very weak solution of Magneto-Hydrodynamics equations is regular in R-3 x (0, T] if it belongs to the Banach space L-p(h,T; L-q(R-3)) with 2/p + 3/q = 1, q is an element of(3, infinity) for any small h > 0. Secondly, we further prove the integrability condition imposed on the magnetic field can be removed by using the energy method and the regularity theory of the heat operator, which is of independent interest.
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页数：38
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