Displaying similar documents to “Small time-periodic solutions of equations of magnetohydrodynamics as a singularly perturbed problem”

Equations of magnetohydrodynamics of compressible fluid: Periodic solutions

Milan Štědrý, Otto Vejvoda (1985)

Aplikace matematiky

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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. ...

Solution of a linear model of a single-piston pump by means of methods for differential equations in Hilbert spaces

Ivan Straškraba (1986)

Aplikace matematiky

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A mathematical model of a fluid flow in a single-piston pump is formulated and solved. Variation of pressure and rate of flow in suction and delivery piping respectively is described by linearized Euler equations for barotropic fluid. A new phenomenon is introduced by a boundary condition with discontinuous coefficient describing function of a valve. The system of Euler equations is converted to a second order equation in the space L 2 ( 0 , l ) where l is length of the pipe. The existence, unicity...