On the solvability of some initial boundary value problems of magnetofluidmechanics with Hall and ion-slip effects
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 6 (1995) no. 2, pp. 117-132
Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica
The solvability of three linear initial-boundary value problems for the system of equations obtained by linearization of MHD equations is established. The equations contain terms corresponding to Hall and ion-slip currents. The solutions are found in the Sobolev spaces \( W_{p}^{2,1} (Q_{T} ) \) with \( p > 5/2 \) and in anisotropic Holder spaces.
@article{RLIN_1995_9_6_2_a3,
author = {Solonnikov, Vsevolod A. and Mulone, Giuseppe},
title = {On the solvability of some initial boundary value problems of magnetofluidmechanics with {Hall} and ion-slip effects},
journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
pages = {117--132},
year = {1995},
volume = {Ser. 9, 6},
number = {2},
zbl = {0834.76094},
mrnumber = {MR1354225},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RLIN_1995_9_6_2_a3/}
}
TY - JOUR AU - Solonnikov, Vsevolod A. AU - Mulone, Giuseppe TI - On the solvability of some initial boundary value problems of magnetofluidmechanics with Hall and ion-slip effects JO - Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni PY - 1995 SP - 117 EP - 132 VL - 6 IS - 2 UR - http://geodesic.mathdoc.fr/item/RLIN_1995_9_6_2_a3/ LA - en ID - RLIN_1995_9_6_2_a3 ER -
%0 Journal Article %A Solonnikov, Vsevolod A. %A Mulone, Giuseppe %T On the solvability of some initial boundary value problems of magnetofluidmechanics with Hall and ion-slip effects %J Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni %D 1995 %P 117-132 %V 6 %N 2 %U http://geodesic.mathdoc.fr/item/RLIN_1995_9_6_2_a3/ %G en %F RLIN_1995_9_6_2_a3
Solonnikov, Vsevolod A.; Mulone, Giuseppe. On the solvability of some initial boundary value problems of magnetofluidmechanics with Hall and ion-slip effects. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 6 (1995) no. 2, pp. 117-132. http://geodesic.mathdoc.fr/item/RLIN_1995_9_6_2_a3/