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Existence of Solutions to Steady MHD System with Multiply Connected Boundary

Existence of Solutions to Steady MHD System with Multiply Connected Boundary In this paper, we study the inhomogeneous boundary value problem for the steady MHD system of a viscous incompressible fluid in an arbitrary bounded multiply connected domain. We prove the existence of generalized solutions of the steady MHD system with some smallness conditions on the boundary values. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Existence of Solutions to Steady MHD System with Multiply Connected Boundary

Acta Applicandae Mathematicae , Volume 175 (1) – Oct 1, 2021

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References (17)

Publisher
Springer Journals
Copyright
Copyright © The Author(s), under exclusive licence to Springer Nature B.V. 2021
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/s10440-021-00430-5
Publisher site
See Article on Publisher Site

Abstract

In this paper, we study the inhomogeneous boundary value problem for the steady MHD system of a viscous incompressible fluid in an arbitrary bounded multiply connected domain. We prove the existence of generalized solutions of the steady MHD system with some smallness conditions on the boundary values.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Oct 1, 2021

Keywords: Steady MHD; Inhomogeneous boundary condition; Existence; 76D03; 35D30; 35J25

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