A coupled system arising in Magnetohydrodynamics
Gerbeau, Jean-Frédéric ; Le Bris, Claude
HAL, hal-00691693 / Harvested from HAL
Text on HAL
We study a MHD system consisting of the stationary Maxwell equations coupled with the transient Navier-Stokes equations. We prove that a solution exists and is unique for small time and small data. We show that the system may become ill-posed as soon as the fluid velocity becomes too large.
Publié le : 1999-07-05
Classification:  MHD,  Navier-Stokes equations,  existence of solutions,  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] 
@article{hal-00691693,
     author = {Gerbeau, Jean-Fr\'ed\'eric and Le Bris, Claude},
     title = {A coupled system arising in Magnetohydrodynamics},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00691693}
}

Gerbeau, Jean-Frédéric; Le Bris, Claude. A coupled system arising in Magnetohydrodynamics. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-00691693/