Global free boundary problem for incompressible magnetohydrodynamics

Piotr Kacprzyk

  • 2015

Abstract

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We consider the motion of incompressible mhd in a domain bounded 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. On the free surface transmission conditions for the electromagnetic fields are imposed. For sufficiently small initial velocity and vanishing external force the global existence is proved. The L₂-approach is used. This helps us to treat the transmission conditions.

How to cite

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Piotr Kacprzyk. Global free boundary problem for incompressible magnetohydrodynamics. 2015. <http://eudml.org/doc/285955>.

@book{PiotrKacprzyk2015,
abstract = {We consider the motion of incompressible mhd in a domain bounded 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. On the free surface transmission conditions for the electromagnetic fields are imposed. For sufficiently small initial velocity and vanishing external force the global existence is proved. The L₂-approach is used. This helps us to treat the transmission conditions.},
author = {Piotr Kacprzyk},
keywords = {free boundary; incompressible viscous magnetohydrodynamics; global existence; transmission problem; Hilbert-Sobolev spaces; Korn inequality},
language = {eng},
title = {Global free boundary problem for incompressible magnetohydrodynamics},
url = {http://eudml.org/doc/285955},
year = {2015},
}

TY - BOOK
AU - Piotr Kacprzyk
TI - Global free boundary problem for incompressible magnetohydrodynamics
PY - 2015
AB - We consider the motion of incompressible mhd in a domain bounded 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. On the free surface transmission conditions for the electromagnetic fields are imposed. For sufficiently small initial velocity and vanishing external force the global existence is proved. The L₂-approach is used. This helps us to treat the transmission conditions.
LA - eng
KW - free boundary; incompressible viscous magnetohydrodynamics; global existence; transmission problem; Hilbert-Sobolev spaces; Korn inequality
UR - http://eudml.org/doc/285955
ER -

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