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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 H³-space.
Piotr Kacprzyk. "Free boundary problem for the equations of magnetohydrodynamic incompressible viscous fluid." Applicationes Mathematicae 34.1 (2007): 75-95. <http://eudml.org/doc/279322>.
@article{PiotrKacprzyk2007, abstract = {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 H³-space.}, author = {Piotr Kacprzyk}, journal = {Applicationes Mathematicae}, keywords = {global existence; Sobolev spaces}, language = {eng}, number = {1}, pages = {75-95}, title = {Free boundary problem for the equations of magnetohydrodynamic incompressible viscous fluid}, url = {http://eudml.org/doc/279322}, volume = {34}, year = {2007}, }
TY - JOUR AU - Piotr Kacprzyk TI - Free boundary problem for the equations of magnetohydrodynamic incompressible viscous fluid JO - Applicationes Mathematicae PY - 2007 VL - 34 IS - 1 SP - 75 EP - 95 AB - 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 H³-space. LA - eng KW - global existence; Sobolev spaces UR - http://eudml.org/doc/279322 ER -