## Topological Methods in Nonlinear Analysis

### Global existence of solutions of the free boundary problem for the equations of magnetohydrodynamic incompresible viscous fluid

Piotr Kacprzyk

#### Abstract

Global motion of magnetohydrodynamic fluid in a domain bounded by a free surface and under the external electrodynamic field is proved. The motion is such that velocity and magnetic field are small in $H^3$-space.

#### Article information

Source
Topol. Methods Nonlinear Anal., Volume 23, Number 2 (2004), 339-356.

Dates
First available in Project Euclid: 31 May 2016