Geodesic
Local existence of 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 30 (2003) no. 4, pp. 461-488 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am30-4-8
Keywords: local existence solutions proved equations describing motion magnetohydrodynamic incompressible fluid domain bounded surface exterior domain have electromagnetic field which generated currents located fixed boundary first galerkin method regularization techniques existence solutions linarized equations proved method successive aproximations local existence shown nonlinear problem

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. Local existence of solutions of the free
 boundary problem for the equations of a
 magnetohydrodynamic incompressible fluid. Applicationes Mathematicae, Tome 30 (2003) no. 4, pp. 461-488. doi: 10.4064/am30-4-8

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