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Time local existence of a moving boundary of the Hele-Shaw flow with suction

Published online by Cambridge University Press:  01 December 1999

M. KIMURA
M. KIMURA
Affiliation:
Institute for Nonlinear Sciences and Applied Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima 739-8526, Japan (e-mail: masato@math.sci.hiroshima-u.ac.jp)
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Abstract

A moving boundary problem for one phase Hele-Shaw flow with surface tension is considered. The fluid domain is unbounded and its boundary has an infinite length, and a finite number of suction (or injection) points are given. This is a mathematical model of the ‘fingering phenomenon’. We prove the existence of a unique solution locally in time.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 10 , Issue 6 , December 1999 , pp. 581 - 605
Copyright
© 1999 Cambridge University Press

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