On Some Electroconvection Models

Peter Constantin; Tarek Elgindi; Mihaela Ignatova; Vlad Vicol

doi:10.1007/s00332-016-9329-2

On Some Electroconvection Models

Peter Constantin, Tarek Elgindi, Mihaela Ignatova, Vlad Vicol

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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.

Original language	English (US)
Pages (from-to)	197-211
Number of pages	15
Journal	Journal of Nonlinear Science
Volume	27
Issue number	1
DOIs	https://doi.org/10.1007/s00332-016-9329-2
State	Published - Feb 1 2017

All Science Journal Classification (ASJC) codes

Modeling and Simulation
General Engineering
Applied Mathematics

Keywords

Electroconvection
Global regularity
Nonlinear
Nonlocal

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10.1007/s00332-016-9329-2

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title = "On Some Electroconvection Models",

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.",

keywords = "Electroconvection, Global regularity, Nonlinear, Nonlocal",

author = "Peter Constantin and Tarek Elgindi and Mihaela Ignatova and Vlad Vicol",

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AU - Elgindi, Tarek

AU - Ignatova, Mihaela

AU - Vicol, Vlad

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N2 - 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.

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KW - Electroconvection

KW - Global regularity

KW - Nonlinear

KW - Nonlocal

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On Some Electroconvection Models

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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