A Class of Large Solutions to the 3D Generalized Hall-MHD Equations

被引：1
|
作者：
Wu, Xing [1 ]
Tang, Yanbin [2 ]
机构：
[1] Henan Agr Univ, Coll Informat & Management Sci, Zhengzhou 450002, Henan, Peoples R China
[2] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China
来源：
ACTA APPLICANDAE MATHEMATICAE | 2020年 / 169卷 / 01期
关键词：
Generalized Hall-MHD equations; Large solutions; DATA GLOBAL EXISTENCE; BLOW-UP CRITERIA; WELL-POSEDNESS; REGULARITY CRITERIA; DECAY;
D O I：
10.1007/s10440-020-00318-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we derive the global existence of smooth solutions to the 3D generalized Hall-MHD equations for a class of large initial data, whose L8 norms can be arbitrarily large. In addition, we give an example to show that such a large initial value does exist. Our idea is splitting the generalized heat equations from generalized Hall-MHD system to generate a small quantity for large time t.
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页码：681 / 690
页数：10
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