Almost global solutions of the free boundary problem for the equations of a magnetohydrodynamic incompressible fluid

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 -