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Oscillating magnetohydrodynamic flow past a rigid plane wall

Poria S., Mazumdar H. P.

Journal of Technical Physics

2002

Vol. 43, no 3

343-350

In this paper, the effects of a magnetic field acting perpendicularly to the direction of an oscillatory, viscous, conducting, incompressible fluid stream past a fixed plane wall is investigated. The problem is first converted to the Stokes second problem by introducing a new coordinate system and prescribing the appropriate forms for the pressure gradient corresponding to two sets of boundary and initial conditions. Solutions to the problem are then obtained by invoking an invariance principle, and computed numerically for different values of a magnetic parameter. The effects of the transversal magnetic field on the velocity profiles are finally discussed.

Invariance principle for a diffusion in a Markov field

Fannjiang A., Komorowski T.

Bulletin of the Polish Academy of Sciences. Mathematics

2001

Vol. 49, no 1

45-65

We study a diffusion with a random, time Markovian drift and non-vanishing diffusivity. We prove the invariance principle when the drift possesses certain decorrelation properties both in time and space.