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arxiv: 0804.2795 · v2 · submitted 2008-04-17 · 🧮 math.AP

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

classification 🧮 math.AP
keywords solutionequationthinexistencefilmtravelingwaveabsolute
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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.

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