Work

Global Existence of Solutions to a Free Boundary Problem for Viscous Incompressible Magnetohydrodynamics for Small Data

Year: 2024

Type: article

Abstract: The motion of viscous incompressible magnetohydrodynamics (MHD) is considered in a domain that is bounded by a free surface. The motion interacts through the free surface with an electromagnetic field located in a domain exterior to the free surface and bounded by a given fixed surface. Some electromagnetic fields are prescribed on this fixed boundary. On the free surface, jumps in the magnetic and electric fields are assumed. The global existence of solutions to this problem assuming appropriate smallness conditions on the initial and boundary data is proved.

Source: Mathematics

DOI: 10.3390/math12172614

Authors: Piotr Kacprzyk, Wojciech M. Zaja̧czkowski

Institutions: 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: $2,955

OpenAlex ID: W4401806500

FWCI:

Cites: 5

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Related to: 10