Differential and Integral Equations

Spreading charged micro-droplets

Joseph Iaia

Full-text: Access denied (no subscription detected) We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

This paper considers the analysis of the BF 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 prove that there is only one such solution that is smooth on all of $[0,1]$. There are other solutions that are continuous on $[0,1]$, but not differentiable at $x=1$. For these we describe the precise behavior of the solutions at $x=1$.

Article information

Source
Differential Integral Equations Volume 29, Number 9/10 (2016), 923-938.

Dates
First available in Project Euclid: 14 June 2016

Permanent link to this document
https://projecteuclid.org/euclid.die/1465912610

Mathematical Reviews number (MathSciNet)
MR3335748

Zentralblatt MATH identifier
06644055

Subjects
Primary: 35B07: Axially symmetric solutions 35B09: Positive solutions

Citation

Iaia, Joseph. Spreading charged micro-droplets. Differential Integral Equations 29 (2016), no. 9/10, 923--938. https://projecteuclid.org/euclid.die/1465912610.


Export citation