Moulton, D. E. and Lega, J.
(2012)
Effect of disjoining pressure in a thin film equation with
nonuniform forcing.
European Journal of Applied Mathematics
.
(Submitted)

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Abstract
We explore the effect of disjoining pressure on a thin film equation in the presence of a nonuniform body force, motivated by a model describing the reverse draining of a magnetic film. To this end, we use a combination of numerical investigations and analytical considerations. The disjoining pressure has a regularizing influence on the evolution of the system and appears to select a single steadystate solution for fixed height boundary conditions; this is in contrast with the existence of a continuum of locally attracting solutions that exist in the absence of disjoining pressure for the same boundary conditions. We numerically implement matched asymptotics expansions to construct equilibrium solutions and also investigate how they behave as the disjoining pressure is sent to zero. Finally, we consider the effect of the competition between forcing and disjoining pressure on the coarsening dynamics of the thin film for fixed contact angle boundary conditions.
Item Type:  Article 

Subjects:  D  G > General 
Research Groups:  Oxford Centre for Collaborative Applied Mathematics 
ID Code:  1627 
Deposited By:  Peter Hudston 
Deposited On:  24 Nov 2012 08:58 
Last Modified:  29 May 2015 19:19 
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