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

Autor:	Piotr Kacprzyk, Wojciech M. Zaja̧czkowski
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	free boundary incompressible magnetohydrodynamics transmission conditions global existence Mathematics QA1-939
Zdroj:	Mathematics, Vol 12, Iss 17, p 2614 (2024)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math12172614
Popis:	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.
Databáze:	Directory of Open Access Journals
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