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

数学科学学院

China Academy of Engineering Physics

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	69-90
页数	22
期刊	Colloquium Mathematicum
卷	156
期	1
DOI	https://doi.org/10.4064/cm7457-3-2018
出版状态	已出版 - 2019

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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",

note = "Publisher Copyright: {\textcopyright} Instytut Matematyczny PAN, 2019.",

year = "2019",

doi = "10.4064/cm7457-3-2018",

language = "英语",

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T1 - Global-in-time solutions to three-dimensional magnetohydrodynamics equations with a class of large initial data

AU - Zheng, Xiaoxin

AU - Bai, Xiang

N1 - Publisher Copyright: © Instytut Matematyczny PAN, 2019.

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

AN - SCOPUS:85062403642

SN - 0010-1354

VL - 156

SP - 69

EP - 90

JO - Colloquium Mathematicum

JF - Colloquium Mathematicum

IS - 1

ER -

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

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