Displaying similar documents to “Equations of magnetohydrodynamics of compressible fluid: Periodic solutions”

Small time-periodic solutions of equations of magnetohydrodynamics as a singularly perturbed problem

Milan Štědrý, Otto Vejvoda (1983)

Aplikace matematiky

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This paper deals with a system of equations describing the motion of viscous electrically conducting incompressible fluid in a bounded three dimensional domain whose boundary is perfectly conducting. The displacement current appearing in Maxwell’s equations, ϵ E t is not neglected. It is proved that for a small periodic force and small positive there exists a locally unique periodic solution of the investigated system. For ϵ → 0 , these solutions are shown to convergeto a solution of the simplified...