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Travelling waves for a thin liquid film with surfactant on an inclined plane

We show the existence of travelling wave solutions for a lubrication model of surfactant-driven flow of a thin liquid film down an inclined plane, in various parameter regimes. Our arguments use geometric singular perturbation theory.

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Bibliographic Details
Published in:Nonlinearity 2009-01, Vol.22 (1), p.85-122
Main Authors: Manukian, Vahagn, Schecter, Stephen
Format: Article
Language:English
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Summary:We show the existence of travelling wave solutions for a lubrication model of surfactant-driven flow of a thin liquid film down an inclined plane, in various parameter regimes. Our arguments use geometric singular perturbation theory.
ISSN:0951-7715
1361-6544
DOI:10.1088/0951-7715/22/1/006