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Exact solutions for Hele-Shaw flows with surface tension: The Schwarz-function approach
Phys. Rev. E 48, R658(R) – Published 1 August, 1993
DOI: https://doi.org/10.1103/PhysRevE.48.R658
Abstract
An alternative derivation of the two-parameter family of solutions for a Hele-Shaw flow with surface tension reported previously by Vasconcelos and Kadanoff [Phys. Rev. A 44, 6490 (1991)] is presented. The method of solution given here is based on the formalism of the Schwarz function: an ordinary differential equation for the Schwarz function of the moving interface is obtained and then solved.
References (11)
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