The Cauchy-Poisson problem in electrohydrodynamics
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The Cauchy-Poisson problem of wave propagation along the interface between two fluids under the action of an electric field is solved for the case in which the field strength is below a certain critical value at which a horizontal interface loses stability. The upper fluid layer is an ideal dielectric, while the lower one is an ideal conductor. For the shape of the wave crest a solution in integral form is obtained. Numerical results concerning the spatial-temporal wavefield pattern are also presented.
KeywordsFluid Dynamics Field Strength Wave Propagation Crest Integral Form
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