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Alhasanat, Ahmad; Ou, Chunhua
Periodic steady-state solutions of a liquid film model via a classical method
In this paper, periodic steady-state of a liquid film flowing over a periodic uneven wall is investigated via a classical method. Specifically, we analyze a long-wave model that is valid at the near-critical Reynolds number. For the periodic wall surface, we construct an iteration scheme in terms of an integral form of the original steady-state problem. The uniform convergence of the scheme is proved so that we can derive the existence and the uniqueness, as well as the asymptotic formula, of the periodic solutions.

Keywords:film flow, classical methods, asymptotic analysis
Categories:34E05, 34E10, 34E15

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