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Two problems from draining flows involving third-order ordinary differential equations. (English) Zbl 0845.34033

Summary: A mathematical analysis is given of two third-order ordinary differential equations which arise in models for flows of thin viscous films over solid surfaces. Questions about existence, uniqueness, and qualitative properties of solutions are discussed.

MSC:

34B15 Nonlinear boundary value problems for ordinary differential equations
76D99 Incompressible viscous fluids
34E05 Asymptotic expansions of solutions to ordinary differential equations
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