Title
Traveling Waves for a Thin Film with Gravity and Insoluble Surfactant
Abstract
Lubrication equations for a surfactant-driven flow of a thin layer of fluid are considered with a singular surfactant-dependent surface tension. It is shown that there exists a bounded traveling wave solution which connects a fully surfactant-coated film to an uncoated film. The regularity of the traveling wave depends on whether or not surface diffusion of the insoluble surfactant is included.
Year
DOI
Venue
2015
10.1137/140963613
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
Keywords
Field
DocType
thin films,surfactant,traveling wave
Lubrication,Surface tension,Traveling wave,Mathematical analysis,Flow (psychology),Optics,Mechanics,Thin film,Pulmonary surfactant,Mathematics,Surface diffusion,Bounded function
Journal
Volume
Issue
ISSN
14
4
1536-0040
Citations 
PageRank 
References 
0
0.34
1
Authors
4
Name
Order
Citations
PageRank
Joachim Escher131.78
Matthieu Hillairet221.17
Philippe Laurençot33010.30
Christoph Walker401.35