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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
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.
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- © 1999 Cambridge University Press
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