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Štědrý, Milan ; Vejvoda, Otto
Equations of magnetohydrodynamics of compressible fluid: Periodic solutions. (English). Aplikace matematiky, vol. 30 (1985), issue 2, pp. 77-91
MSC: 35B10, 35Q20, 76N10, 76W05 | MR 0778980 | Zbl 0591.76184 | DOI: 10.21136/AM.1985.104130
Keywords:
periodic solutions; small initial velocity; global existence; exponential stability of solutions; external forces; displacement current
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.
References:
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