Work

Existence of Local Solutions to a Free Boundary Problem for Compressible Viscous Magnetohydrodynamics

Year: 2025

Type: article

Abstract: The motion of viscous compressible magnetohydrodynamics (MHD) is considered in a domain bounded by a free boundary. The motion interacts through the free surface with an electromagnetic field located in a domain that is exterior to the free surface and bounded by a given fixed surface. Some data for the electromagnetic fields are prescribed on this fixed boundary. On the free surface, jumps in magnetic and electric fields are assumed. We prove the local existence of solutions by the method of successive approximations using Sobolev–Slobodetskii spaces.

Source: Mathematics

DOI: 10.3390/math13172702

Authors: Wiesław J. Grygierzec, Wojciech M. Zaja̧czkowski

Institutions: University of Agriculture in Krakow, Military University of Technology in Warsaw, Institute of Mathematics, Polish Academy of Sciences

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

OpenAlex ID: W4413429487

FWCI:

Cites: 2

Cited by:

Related to: 10