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.


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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