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arXiv · 1512.00676

On some electroconvection models

Peter Constantin·Tarek Elgindi·Mihaela Ignatova·Vlad Vicol
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Abstract

We consider a model of electroconvection motivated by studies of the motion of a two dimensional annular suspended smectic film under the influence of an electric potential maintained at the boundary by two cylindrical electrodes. We prove that this electroconvection model has global in time unique smooth solutions.

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Peter Constantin, Tarek Elgindi, Mihaela Ignatova, Vlad Vicol. 2015-12-02. On some electroconvection models. https://doi.org/10.1007/s00332-016-9329-2

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