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A stabilizing effect of vanishing diffusion in electrohydrodynamics

Published online by Cambridge University Press:  01 April 1997

EDUARD FEIREISL
EDUARD FEIREISL
Affiliation:
Departamento de Matemática Aplicada, Universidad Complutense de Madrid, 28040 Madrid, Spain and Institute of Mathematics AVČR, Žitná25, 115 67 Praha 1, Czech Republic
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Abstract

We consider a model of the motion of a viscous dielectric liquid subjected to a DC electric field when the bulk conduction results from the presence of a dissociation-recombination process. It is shown that any weak solution approaches a neighbourhood of a spatially homogeneous steady state with radius r≈(d+ +d−)&14frac;, where d+, d− are the diffusion coefficients.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 8 , Issue 2 , April 1997 , pp. 217 - 227
Copyright
1997 Cambridge University Press

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