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

Piotr Kacprzyk

Banach Center Publications (2005)

  • Volume: 70, Issue: 1, page 105-129
  • ISSN: 0137-6934

Abstract

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Global existence of solutions for equations describing a motion of magnetohydrodynamic compresible 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. We have proved that the domain occupied by the fluid remains close to the initial domain for all time.

How to cite

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Piotr Kacprzyk. "Global existence of solutions of the free boundary problem for the equations of magnetohydrodynamic compressible fluid." Banach Center Publications 70.1 (2005): 105-129. <http://eudml.org/doc/282078>.

@article{PiotrKacprzyk2005,
abstract = {Global existence of solutions for equations describing a motion of magnetohydrodynamic compresible 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. We have proved that the domain occupied by the fluid remains close to the initial domain for all time.},
author = {Piotr Kacprzyk},
journal = {Banach Center Publications},
keywords = {Sobolev spaces},
language = {eng},
number = {1},
pages = {105-129},
title = {Global existence of solutions of the free boundary problem for the equations of magnetohydrodynamic compressible fluid},
url = {http://eudml.org/doc/282078},
volume = {70},
year = {2005},
}

TY - JOUR
AU - Piotr Kacprzyk
TI - Global existence of solutions of the free boundary problem for the equations of magnetohydrodynamic compressible fluid
JO - Banach Center Publications
PY - 2005
VL - 70
IS - 1
SP - 105
EP - 129
AB - Global existence of solutions for equations describing a motion of magnetohydrodynamic compresible 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. We have proved that the domain occupied by the fluid remains close to the initial domain for all time.
LA - eng
KW - Sobolev spaces
UR - http://eudml.org/doc/282078
ER -

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