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.
Citation
Piotr Kacprzyk. "Global existence of solutions of the free boundary problem for the equations of magnetohydrodynamic incompresible viscous fluid." Topol. Methods Nonlinear Anal. 23 (2) 339 - 356, 2004.
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