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Almost global in time existence of solutions for equations describing the motion of a magnetohydrodynamic incompressible fluid in a domain bounded by a free surfaced is proved. In the exterior domain we have an electromagnetic field which is generated by some currents which are located on a fixed boundary. We prove that a solution exists for t ∈ (0,T), where T > 0 is large if the data are small.
Piotr Kacprzyk. "Almost global solutions of the free boundary problem for the equations of a magnetohydrodynamic incompressible fluid." Applicationes Mathematicae 31.1 (2004): 69-77. <http://eudml.org/doc/278870>.
@article{PiotrKacprzyk2004, abstract = {Almost global in time existence of solutions for equations describing the motion of a magnetohydrodynamic incompressible fluid in a domain bounded by a free surfaced is proved. In the exterior domain we have an electromagnetic field which is generated by some currents which are located on a fixed boundary. We prove that a solution exists for t ∈ (0,T), where T > 0 is large if the data are small.}, author = {Piotr Kacprzyk}, journal = {Applicationes Mathematicae}, keywords = {local existence; Sobolev spaces; magnetohydrodynamic incompressible fluid}, language = {eng}, number = {1}, pages = {69-77}, title = {Almost global solutions of the free boundary problem for the equations of a magnetohydrodynamic incompressible fluid}, url = {http://eudml.org/doc/278870}, volume = {31}, year = {2004}, }
TY - JOUR AU - Piotr Kacprzyk TI - Almost global solutions of the free boundary problem for the equations of a magnetohydrodynamic incompressible fluid JO - Applicationes Mathematicae PY - 2004 VL - 31 IS - 1 SP - 69 EP - 77 AB - Almost global in time existence of solutions for equations describing the motion of a magnetohydrodynamic incompressible fluid in a domain bounded by a free surfaced is proved. In the exterior domain we have an electromagnetic field which is generated by some currents which are located on a fixed boundary. We prove that a solution exists for t ∈ (0,T), where T > 0 is large if the data are small. LA - eng KW - local existence; Sobolev spaces; magnetohydrodynamic incompressible fluid UR - http://eudml.org/doc/278870 ER -