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.


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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