Equations of magnetohydrodynamics of compressible fluid: Periodic solutions. (English) Zbl 0591.76184

(From authors’ summary.) The authors prove the global existence and exponential stability of solutions of the given system of equations under the condition that the initial velocities and the external forces are small and the initial density is not far from a constant one. If the external forces are periodic, then solutions periodic with the same period are obtained. The investigated system of equations is a bit non- standard - for example the displacement current in the Maxwell equations is not neglected.
Reviewer: P.Smith


76W05 Magnetohydrodynamics and electrohydrodynamics
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
Full Text: EuDML


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