Global solutions to three-dimensional generalized MHD equations with large initial data

We investigate the initial value problem for the three-dimensional generalized incompressible MHD equations. Firstly, global stability result is established by energy method in the Fourier space. Then for a class of large initial data, global solutions are obtained in the critical function space X 1...

Full description

Saved in:
Bibliographic Details
Published in:Zeitschrift für angewandte Mathematik und Physik 2019-06, Vol.70 (3), p.1-12, Article 69
Main Authors: Liu, Fagui, Wang, Yu-Zhu
Format: Article
Language:English
Subjects:
Boundary value problems
Dimensional stability
Engineering
Function space
Mathematical analysis
Mathematical Methods in Physics
Theoretical and Applied Mechanics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We investigate the initial value problem for the three-dimensional generalized incompressible MHD equations. Firstly, global stability result is established by energy method in the Fourier space. Then for a class of large initial data, global solutions are obtained in the critical function space X 1 - 2 α by global stability result.
ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-019-1113-3