Geodesic
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.

Voir la notice de l'article provenant de 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.
Si stabilisce la risolubilità di tre problemi ai valori iniziali e al contorno per il sistema ottenuto linearizzando le equazioni della MHD. Le equazioni contengono termini corrispondenti alle correnti di Hall e di ion-slip. Le soluzioni sono trovate negli spazi di Sobolev \( W_{p}^{2,1} (Q_{T} ) \) con \( p > 5/2 \) e negli spazi di Holder anisotropi. 
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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/

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