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A stabilizing effect of vanishing diffusion in electrohydrodynamics
Published online by Cambridge University Press: 01 April 1997
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.
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- 1997 Cambridge University Press