Geodesic
Almost global solutions of the free boundary problem for the equations of a magnetohydrodynamic incompressible fluid
Piotr Kacprzyk1
1 Institute of Mathematics and Cryptology Cybernetics Faculty Military University of Technology S. Kaliskiego 2 00-908 Warszawa, Poland
Applicationes Mathematicae, Tome 31 (2004) no. 1, pp. 69-77 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am31-1-6
Keywords: almost global time existence solutions equations describing motion magnetohydrodynamic incompressible fluid domain bounded surfaced proved exterior domain have electromagnetic field which generated currents which located fixed boundary prove solution exists where large small

Piotr Kacprzyk 1

1 Institute of Mathematics and Cryptology Cybernetics Faculty Military University of Technology S. Kaliskiego 2 00-908 Warszawa, Poland 
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Piotr Kacprzyk. Almost global solutions of the
 free boundary problem for the equations of a
 magnetohydrodynamic incompressible fluid. Applicationes Mathematicae, Tome 31 (2004) no. 1, pp. 69-77. doi: 10.4064/am31-1-6

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