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
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