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

^*Corresponding author for this work

School of Mathematical Sciences

Anhui University of Technology

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

3 Scopus citations

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.

Original language	English
Pages (from-to)	1147-1154
Number of pages	8
Journal	Mathematical Methods in the Applied Sciences
Volume	44
Issue number	1
DOIs	https://doi.org/10.1002/mma.6789
State	Published - 15 Jan 2021

Keywords

MHD equations
inhomogeneous
solvability

Access to Document

10.1002/mma.6789

Cite this

@article{5adca47d9a6b4584aafbd5cf91da5016,

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",

month = jan,

day = "15",

doi = "10.1002/mma.6789",

language = "英语",

volume = "44",

pages = "1147--1154",

journal = "Mathematical Methods in the Applied Sciences",

issn = "0170-4214",

publisher = "John Wiley and Sons Ltd",

number = "1",

}

TY - JOUR

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

AU - Zhang, Zhibing

AU - Zhao, Chunyi

PY - 2021/1/15

Y1 - 2021/1/15

N2 - 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.

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

IS - 1

ER -

Solvability of an inhomogeneous boundary value problem for steady MHD equations

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this