Almost global solutions of the free boundary problem for the equations of a magnetohydrodynamic incompressible fluid

• Autorzy: Piotr Kacprzyk
• Języki publikacji: EN

Abstrakty

EN

Almost global in time existence of solutions for equations describing the motion of a magnetohydrodynamic incompressible fluid in a domain bounded by a free surfaced is proved. In the exterior domain we have an electromagnetic field which is generated by some currents which are located on a fixed boundary. We prove that a solution exists for t ∈ (0,T), where T > 0 is large if the data are small.

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: 1
• Strony: 69-77

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/am31-1-6