# Wydawnictwa / Czasopisma IMPAN / Applicationes Mathematicae / Wszystkie zeszyty

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

### Tom 31 / 2004

Applicationes Mathematicae 31 (2004), 69-77 MSC: 35A05, 35R35, 76N10. DOI: 10.4064/am31-1-6

#### Streszczenie

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 $t\in (0,T)$, where $T>0$ is large if the data are small.

#### Autorzy

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

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