Local existence of solutions of the free boundary problem for the equations of a magnetohydrodynamic compressible fluid

Piotr Kacprzyk

Applicationes Mathematicae (2004)

  • Volume: 31, Issue: 2, page 209-227
  • ISSN: 1233-7234

Abstract

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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.

How to cite

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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 31.2 (2004): 209-227. <http://eudml.org/doc/279178>.

@article{PiotrKacprzyk2004,
abstract = {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.},
author = {Piotr Kacprzyk},
journal = {Applicationes Mathematicae},
keywords = {local existence; Sobolev spaces; magnetohydrodynamic compressible fluid; Galerkin method; regularization; linearized equations; successive approximations},
language = {eng},
number = {2},
pages = {209-227},
title = {Local existence of solutions of the free boundary problem for the equations of a magnetohydrodynamic compressible fluid},
url = {http://eudml.org/doc/279178},
volume = {31},
year = {2004},
}

TY - JOUR
AU - Piotr Kacprzyk
TI - Local existence of solutions of the free boundary problem for the equations of a magnetohydrodynamic compressible fluid
JO - Applicationes Mathematicae
PY - 2004
VL - 31
IS - 2
SP - 209
EP - 227
AB - 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.
LA - eng
KW - local existence; Sobolev spaces; magnetohydrodynamic compressible fluid; Galerkin method; regularization; linearized equations; successive approximations
UR - http://eudml.org/doc/279178
ER -

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