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

Piotr Kacprzyk

Applicationes Mathematicae (2003)

  • Volume: 30, Issue: 4, page 461-488
  • ISSN: 1233-7234

Abstract

top
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.

How to cite

top

Piotr Kacprzyk. "Local existence of solutions of the free boundary problem for the equations of a magnetohydrodynamic incompressible fluid." Applicationes Mathematicae 30.4 (2003): 461-488. <http://eudml.org/doc/279241>.

@article{PiotrKacprzyk2003,
abstract = {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.},
author = {Piotr Kacprzyk},
journal = {Applicationes Mathematicae},
keywords = {local existence; Sobolev spaces; magnetohydrodynamic incompressible fluid; Galerkin regularization; linearized equations; successive approximations},
language = {eng},
number = {4},
pages = {461-488},
title = {Local existence of solutions of the free boundary problem for the equations of a magnetohydrodynamic incompressible fluid},
url = {http://eudml.org/doc/279241},
volume = {30},
year = {2003},
}

TY - JOUR
AU - Piotr Kacprzyk
TI - Local existence of solutions of the free boundary problem for the equations of a magnetohydrodynamic incompressible fluid
JO - Applicationes Mathematicae
PY - 2003
VL - 30
IS - 4
SP - 461
EP - 488
AB - 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.
LA - eng
KW - local existence; Sobolev spaces; magnetohydrodynamic incompressible fluid; Galerkin regularization; linearized equations; successive approximations
UR - http://eudml.org/doc/279241
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.