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

• Autorzy: Piotr Kacprzyk
• Języki publikacji: EN

Abstrakty

EN

Local existence of solutions for the equations describing the motion of a magnetohydrodynamic compressible fluid in a domain bounded by a free surface is proved. 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 linearized equations is proved, next by the method of successive aproximations local existence to the nonlinear problem is shown.

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2004
• Tom: 31
• Numer: 2
• Strony: 209-227

Daty

wydano

2004

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/am31-2-6