A stabilizing effect of vanishing diffusion in electrohydrodynamics
Copyright policy )A stabilizing effect of vanishing diffusion in electrohydrodynamics
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.
Diffusion, Nernst-Planck equations, dissociation-recombination process, bulk conduction, cation concentration, Magnetohydrodynamics and electrohydrodynamics, DC electric field, weak solution, viscous dielectric liquid, anion concentration
Diffusion, Nernst-Planck equations, dissociation-recombination process, bulk conduction, cation concentration, Magnetohydrodynamics and electrohydrodynamics, DC electric field, weak solution, viscous dielectric liquid, anion concentration
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