Local free boundary problem for incompressible magnetohydrodynamics

Piotr Kacprzyk

  • 2015

Abstract

top
We consider the motion of an incompressible magnetohydrodynamic (mhd) fluid in a domain bounded by a free surface. In the external domain there exists an electromagnetic field generated by some currents which keeps the mhd flow in the bounded domain. Then on the free surface transmission conditions for electromagnetic fields are imposed. In this paper we prove existence of local regular solutions by the method of successive approximations. The L₂ approach is used. This helps us to treat the transmission conditions.

How to cite

top

Piotr Kacprzyk. Local free boundary problem for incompressible magnetohydrodynamics. 2015. <http://eudml.org/doc/285970>.

@book{PiotrKacprzyk2015,
abstract = {We consider the motion of an incompressible magnetohydrodynamic (mhd) fluid in a domain bounded by a free surface. In the external domain there exists an electromagnetic field generated by some currents which keeps the mhd flow in the bounded domain. Then on the free surface transmission conditions for electromagnetic fields are imposed. In this paper we prove existence of local regular solutions by the method of successive approximations. The L₂ approach is used. This helps us to treat the transmission conditions.},
author = {Piotr Kacprzyk},
keywords = {free boundary; incompressible viscous magnetohydrodynamics; local existence; transmission problem; Hilbert-Sobolev spaces},
language = {eng},
title = {Local free boundary problem for incompressible magnetohydrodynamics},
url = {http://eudml.org/doc/285970},
year = {2015},
}

TY - BOOK
AU - Piotr Kacprzyk
TI - Local free boundary problem for incompressible magnetohydrodynamics
PY - 2015
AB - We consider the motion of an incompressible magnetohydrodynamic (mhd) fluid in a domain bounded by a free surface. In the external domain there exists an electromagnetic field generated by some currents which keeps the mhd flow in the bounded domain. Then on the free surface transmission conditions for electromagnetic fields are imposed. In this paper we prove existence of local regular solutions by the method of successive approximations. The L₂ approach is used. This helps us to treat the transmission conditions.
LA - eng
KW - free boundary; incompressible viscous magnetohydrodynamics; local existence; transmission problem; Hilbert-Sobolev spaces
UR - http://eudml.org/doc/285970
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.