A class of large solutions to the 3D incompressible MHD and Euler equations with damping

被引：10
|
作者：
Zhou, Yi [1 ]
Zhu, Yi [1 ]
机构：
[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2018年 / 34卷 / 01期
关键词：
Large solutions; euler equations; MHD equations; damping; GLOBAL SMALL SOLUTIONS; SMOOTH SOLUTIONS; EXISTENCE; SYSTEM;
D O I：
10.1007/s10114-016-6271-z
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 of the 3D incompressible Euler equations with damping for a class of large initial data, whose Sobolev norms H (s) can be arbitrarily large for any s ae<yen> 0. The approach is through studying the quantity representing the difference between the vorticity and velocity. And also, we construct a family of large solutions for MHD equations with damping.
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页码：63 / 78
页数：16
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