On some electroconvection models
Analysis of PDEs
2016-09-21 v1 Fluid Dynamics
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.
Keywords
Cite
@article{arxiv.1512.00676,
title = {On some electroconvection models},
author = {Peter Constantin and Tarek Elgindi and Mihaela Ignatova and Vlad Vicol},
journal= {arXiv preprint arXiv:1512.00676},
year = {2016}
}