TY - JOUR

T1 - Free boundary problem of magnetohydrodynamics

AU - Frolova, E. V.

N1 - Frolova, E.V. Free Boundary Problem of Magnetohydrodynamics. J Math Sci 210, 857–877 (2015). https://doi.org/10.1007/s10958-015-2596-x

PY - 2015

Y1 - 2015

N2 - A free boundary problem controlling the motion of a finite isolated mass of a viscous incompressible electrically conducting fluid in vacuum is considered. The fluid is moving under the action of a magnetic field and volume forces. It is proved that this free boundary problem is solvable in an infinite time interval under additional smallness assumptions imposed on the initial data and the external forces.

AB - A free boundary problem controlling the motion of a finite isolated mass of a viscous incompressible electrically conducting fluid in vacuum is considered. The fluid is moving under the action of a magnetic field and volume forces. It is proved that this free boundary problem is solvable in an infinite time interval under additional smallness assumptions imposed on the initial data and the external forces.

KW - Initial Data

KW - Free boundary problems

KW - Compatibility Condition

KW - Linear Problem

KW - Free Boundary Problem

UR - https://link.springer.com/article/10.1007/s10958-015-2596-x

M3 - Article

VL - 210

SP - 857

EP - 877

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -