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

On the solvability of some initial-boundary value problems of magnetofluidmechanics with Hall and ion-slip effects (Q1901524)

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scientific article; zbMATH DE number 817270
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English
On the solvability of some initial-boundary value problems of magnetofluidmechanics with Hall and ion-slip effects
scientific article; zbMATH DE number 817270

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    On the solvability of some initial-boundary value problems of magnetofluidmechanics with Hall and ion-slip effects (English)
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    1 April 1996
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    Summary: The solvability of three linear initial-boundary value problems for the linearized system 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 Hölder spaces.
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    anisotropic currents
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    uniqueness
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    linearized system of MHD equations
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    Sobolev spaces
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    anisotropic Hölder spaces
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