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

Piotr Kacprzyk | Zendy

Open Access

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

Author(s) -

Piotr Kacprzyk

Publication year - 2004

Publication title -

topological methods in nonlinear analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.623

H-Index - 23

ISSN - 1230-3429

DOI - 10.12775/tmna.2004.015

Subject(s) - magnetohydrodynamic drive , magnetohydrodynamics , motion (physics) , domain (mathematical analysis) , bounded function , mathematics , free surface , magnetic field , boundary (topology) , viscous liquid , space (punctuation) , mathematical analysis , surface (topology) , classical mechanics , free boundary problem , equations of motion , mechanics , physics , geometry , computer science , quantum mechanics , operating system

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.

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