Solvability of an inhomogeneous boundary value problem for steady MHD equations

Zhibing Zhang; Chunyi Zhao

doi:10.1002/mma.6789

Solvability of an inhomogeneous boundary value problem for steady MHD equations

Zhibing Zhang^*
, Chunyi Zhao

^*此作品的通讯作者

数学科学学院

Anhui University of Technology

科研成果: 期刊稿件 › 快报 › 同行评审

3 引用（Scopus）

摘要

In this paper, we consider the steady MHD equations with inhomogeneous boundary conditions for the velocity and the tangential component of the magnetic field. Using a new construction of the magnetic lifting, we obtain existence of weak solutions under sharp assumption on boundary data for the magnetic field.

源语言	英语
页（从-至）	1147-1154
页数	8
期刊	Mathematical Methods in the Applied Sciences
卷	44
期	1
DOI	https://doi.org/10.1002/mma.6789
出版状态	已出版 - 15 1月 2021

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title = "Solvability of an inhomogeneous boundary value problem for steady MHD equations",

abstract = "In this paper, we consider the steady MHD equations with inhomogeneous boundary conditions for the velocity and the tangential component of the magnetic field. Using a new construction of the magnetic lifting, we obtain existence of weak solutions under sharp assumption on boundary data for the magnetic field.",

keywords = "MHD equations, inhomogeneous, solvability",

author = "Zhibing Zhang and Chunyi Zhao",

note = "Publisher Copyright: {\textcopyright} 2020 John Wiley \& Sons, Ltd.",

year = "2021",

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T1 - Solvability of an inhomogeneous boundary value problem for steady MHD equations

AU - Zhang, Zhibing

AU - Zhao, Chunyi

PY - 2021/1/15

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AB - In this paper, we consider the steady MHD equations with inhomogeneous boundary conditions for the velocity and the tangential component of the magnetic field. Using a new construction of the magnetic lifting, we obtain existence of weak solutions under sharp assumption on boundary data for the magnetic field.

KW - MHD equations

KW - inhomogeneous

KW - solvability

UR - https://www.scopus.com/pages/publications/85089102179

U2 - 10.1002/mma.6789

DO - 10.1002/mma.6789

M3 - 快报

AN - SCOPUS:85089102179

SN - 0170-4214

VL - 44

SP - 1147

EP - 1154

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

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Solvability of an inhomogeneous boundary value problem for steady MHD equations

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