Local existence of solutions of the free boundary problem for the equations of a magnetohydrodynamic incompressible fluid

• Autorzy: Piotr Kacprzyk
• Języki publikacji: EN

Abstrakty

EN

Local existence of solutions is proved for equations describing the motion of a magnetohydrodynamic incompressible fluid in a domain bounded by a free surface. In the exterior domain we have an electromagnetic field which is generated by some currents located on a fixed boundary. First by the Galerkin method and regularization techniques the existence of solutions of the linarized equations is proved; next by the method of successive aproximations the local existence is shown for the nonlinear problem.

Kategorie tematyczne

• 35R35: Free boundary problems
• 76N10: Existence, uniqueness, and regularity theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2003
• Tom: 30
• Numer: 4
• Strony: 461-488

Daty

wydano

2003

Twórcy

autor

Piotr Kacprzyk

• Institute of Mathematics and Cryptology, Cybernetics Faculty, Military University of Technology, S. Kaliskiego 2, 00-908 Warszawa, Poland

Identyfikatory

DOI

10.4064/am30-4-8