UNIQUENESS AND TIME DECAY RATE OF WEAK SOLUTION TO THE 3D VOIGT-REGULARIZED MAGNETOHYDRODYNAMIC EQUATIONS

被引：0
作者：
Zhang, Xiaoting [1 ]
Yang, Rong [1 ]
机构：
[1] Beijing Univ Technol, Sch Math Stat & Mech, Ping Le Yuan 100, Beijing 100124, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2024年
关键词：
MHD-Voigt equations; regularity; uniqueness of weak solution; time decay rate estimate; ORDER GLOBAL REGULARITY; BOUNDARY VALUE-PROBLEM; MHD EQUATIONS; WELL-POSEDNESS; MODELS;
D O I：
10.3934/dcdss.2024077
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
. In this paper, the influence of the Voigt term -alpha triangle ut on the wellposedness of the Magnetohydrodynamical (MHD) equations is considered. Especially, the Lp estimate of the magnetic field is established by using the regularity of fluid velocity. Then, the uniqueness for weak solution of the 3D Voigt-regularized Magnetohydrodynamical model is obtained. Finally, the time decay rate for the weak solution of this MHD-Voigt equations is established by the Fourier splitting method.
引用
收藏
页码：766 / 776
页数：11
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