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...

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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
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description 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.
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subjects Boundary value problems
Dimensional stability
Engineering
Function space
Mathematical analysis
Mathematical Methods in Physics
Theoretical and Applied Mechanics
title Global solutions to three-dimensional generalized MHD equations with large initial data
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