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Research Article Open access CC BY 4.0

Mathematical Analysis of a Class of Surface-Tension Driven Flows

Yuh-Yih Chen, Jenn-Tsann Lin, Hsiu-Chuan Wei

Advances in Research · pp. 1–8 · Published 12 Dec 2015

10.9734/AIR/2016/22415

Abstract

In this paper, a two-point boundary value problem arising from a class of surface-tension driven flows is considered. The existence properties of solutions are established, and all possible solutions are classified using mathematical analysis. The problem possesses unique or multiple solutions depending on parameter values. Bifurcation diagrams are computed to verify the results obtained by mathematical analysis.

Similarity solutions classification shooting scheme homogeneity method

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