Department of Mathematics
University of North Texas
1155 Union Circle #311430
Denton, TX 76203-5017, USA
email: iaia@unt.edu
Joseph Iaia
Abstract:
This article considers the analysis of the Betelu-Fontelos model of
the spreading of a charged microdroplet on a flat dielectric surface whose
spreading is driven by surface tension and electrostatic repulsion.
This model assumes the droplets are circular and spread according to a power law.
This leads to a third-order nonlinear ordinary differential equation on
[0,1] that gives the evolution of the height profile. We examine existence
of solutions for this equation.
Submitted August 7, 2014. Published January 20, 2015.
Math Subject Classifications: 35B07, 35B09
Key Words: Spreading fluids; circular symmetry; charged droplet.
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Joseph Iaia Department of Mathematics University of North Texas 1155 Union Circle #311430 Denton, TX 76203-5017, USA email: iaia@unt.edu |
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