EXACT-SOLUTIONS FOR HELE-SHAW FLOWS WITH SURFACE-TENSION - THE SCHWARZ-FUNCTION APPROACH

Authors
VASCONCELOS GL
Citation
Gl. Vasconcelos, EXACT-SOLUTIONS FOR HELE-SHAW FLOWS WITH SURFACE-TENSION - THE SCHWARZ-FUNCTION APPROACH, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 48(2), 1993, pp. 180000658-180000660
Citations number
10
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
48
Issue
2
Year of publication
1993
Pages
180000658 - 180000660
Database
ISI
SICI code
1063-651X(1993)48:2<180000658:EFHFWS>2.0.ZU;2-1
Abstract
An alternative derivation of the two-parameter family of solutions for a Hele-Shaw flow with surface tension reported previously by Vasconce los and Kadanoff [Phys. Rev. A 44, 6490 (1991)] is presented. The meth od of solution given here is based on the formalism of the Schwarz fun ction: an ordinary differential equation for the Schwartz function of the moving interface is obtained and then solved.