Free boundary problem for the equations of magnetohydrodynamic incompressible viscous fluid

Volume 34 / 2007

Piotr Kacprzyk Applicationes Mathematicae 34 (2007), 75-95 MSC: 35A05, 35R35, 76N10. DOI: 10.4064/am34-1-7


The existence of a 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 the velocity and magnetic field are small in the $H^3$-space.


  • Piotr KacprzykInstitute of Mathematics and Cryptology
    Cybernetics Faculty
    Military University of Technology
    S. Kaliskiego 2
    00-908 Warszawa, Poland

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