Displaying similar documents to “Boundary-value problems for a class of first order partial differential equations in Sobolev spaces and applications to the Euler flow”

On the solvability of some initial boundary value problems of magnetofluidmechanics with Hall and ion-slip effects

Vsevolod A. Solonnikov, Giuseppe Mulone (1995)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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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.