Global-in-time solutions to three-dimensional magnetohydrodynamics equations with a class of large initial data

Xiaoxin Zheng; Xiang Bai

doi:10.4064/cm7457-3-2018

Global-in-time solutions to three-dimensional magnetohydrodynamics equations with a class of large initial data

Xiaoxin Zheng
, Xiang Bai

School of Mathematical Sciences

China Academy of Engineering Physics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We study the Cauchy problem for the three-dimensional incompressible magnetohydrodynamics equations. By introducing weighted spaces and using the techniques of microlocal analysis, we prove its global-in-time well-posedness for a class of large initial data.

Original language	English
Pages (from-to)	69-90
Number of pages	22
Journal	Colloquium Mathematicum
Volume	156
Issue number	1
DOIs	https://doi.org/10.4064/cm7457-3-2018
State	Published - 2019

Keywords

Anisotropy inequality
Banach fixed point theorem
Large solution
Weighted space

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10.4064/cm7457-3-2018

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title = "Global-in-time solutions to three-dimensional magnetohydrodynamics equations with a class of large initial data",

abstract = "We study the Cauchy problem for the three-dimensional incompressible magnetohydrodynamics equations. By introducing weighted spaces and using the techniques of microlocal analysis, we prove its global-in-time well-posedness for a class of large initial data.",

keywords = "Anisotropy inequality, Banach fixed point theorem, Large solution, Weighted space",

author = "Xiaoxin Zheng and Xiang Bai",

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AU - Zheng, Xiaoxin

AU - Bai, Xiang

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PY - 2019

Y1 - 2019

N2 - We study the Cauchy problem for the three-dimensional incompressible magnetohydrodynamics equations. By introducing weighted spaces and using the techniques of microlocal analysis, we prove its global-in-time well-posedness for a class of large initial data.

AB - We study the Cauchy problem for the three-dimensional incompressible magnetohydrodynamics equations. By introducing weighted spaces and using the techniques of microlocal analysis, we prove its global-in-time well-posedness for a class of large initial data.

KW - Anisotropy inequality

KW - Banach fixed point theorem

KW - Large solution

KW - Weighted space

UR - https://www.scopus.com/pages/publications/85062403642

U2 - 10.4064/cm7457-3-2018

DO - 10.4064/cm7457-3-2018

M3 - 文章

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VL - 156

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JO - Colloquium Mathematicum

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IS - 1

ER -

Global-in-time solutions to three-dimensional magnetohydrodynamics equations with a class of large initial data

Abstract

Keywords

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