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On Some Electroconvection Models

Author(s): Constantin, Peter; Elgindi, Tarek; Ignatova, Mihaela; Vicol, Vlad C.

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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 electrodes. We prove that this electroconvection model has global in time unique smooth solutions.
Publication Date: Feb-2017
Electronic Publication Date: 16-Aug-2016
Citation: Constantin, Peter, Elgindi, Tarek, Ignatova, Mihaela, Vicol, Vlad. (2017). On Some Electroconvection Models. JOURNAL OF NONLINEAR SCIENCE, 27 (197 - 211. doi:10.1007/s00332-016-9329-2
DOI: doi:10.1007/s00332-016-9329-2
ISSN: 0938-8974
EISSN: 1432-1467
Pages: 197 - 211
Type of Material: Journal Article
Version: Author's manuscript

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