arXiv:0804.2795 Abstract | arXiv Analytics

arXiv:0804.2795 [math.AP]Abstract References Reviews Resources

Existence and behavior of asymmetric traveling wave solutions to thin film equation

Published 2008-04-17, updated 2008-05-08Version 2

We proved the existence and uniqueness of a traveling wave solution to the thin film equation with a Navier slip condition at the liquid-solid interface. We obtain explicit lower and upper bounds for the solution and an absolute error estimate of approximation of a solution to the thin films equation by the traveling-wave solution.

Comments: 14 pages, 2 figure

Categories: math.AP

Subjects: 76A20, 76D08, 35K55, 35K65, 35Q35

Keywords: thin film equation, asymmetric traveling wave solutions, thin films equation, navier slip condition, absolute error estimate

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