Spreading of charged micro-droplets
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...
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| Format: | Article |
| Language: | English |
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Texas State University
2013-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/202/abstr.html |
| Summary: | 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. |
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| ISSN: | 1072-6691 |