Geodesic
Local existence of solutions of the free boundary problem for the equations of a magnetohydrodynamic compressible 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. 2, pp. 209-227 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am31-2-6
Keywords: local existence solutions equations describing motion magnetohydrodynamic compressible fluid domain bounded surface proved exterior domain have electromagnetic field which generated currents located fixed boundary first galerkin method regularization techniques existence solutions linearized equations proved method successive aproximations local existence nonlinear problem shown

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 compressible fluid. Applicationes Mathematicae, Tome 31 (2004) no. 2, pp. 209-227. doi: 10.4064/am31-2-6

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