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Solutions of third-order differential equations relevant to draining and coating flows. (English) Zbl 0807.34030

Summary: The behaviour of solutions of two differential equations is investigated. The first is a model for a viscous fluid draining over a wet surface. The second equation is derived from the first as a result of an inner expansion as a parameter \(\delta\) tends to zero. The existence of the appropriate solution is proved for both equations.

MSC:

34B15 Nonlinear boundary value problems for ordinary differential equations
34E05 Asymptotic expansions of solutions to ordinary differential equations
76S05 Flows in porous media; filtration; seepage
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