Electron. J. Diff. Equ., Vol. 2013 (2013), No. 202, pp. 1-22.

Spreading of charged micro-droplets

Joseph Iaia

We consider the spreading of a charged microdroplet on a flat dielectric surface whose spreading is driven by surface tension and electrostatic repulsion. This leads to a third order nonlinear partial differential equation that gives the evolution of the height profile. Assuming the droplets are circular we are able to prove existence of solutions with infinite contact angle and in many cases we are able to prove nonexistence of solutions with finite contact angle.

Submitted February 10, 2013. Published September 16, 2013.
Math Subject Classifications: 35B07, 35B09
Key Words: Spreading fluids; circular symmetry; charged droplets.

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Joseph Iaia
1155 Union Circle #311430
Department of Mathematics
University of North Texas
Denton, TX 76203-5017, USA
email: iaia@unt.edu

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