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

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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.
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     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},
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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/