Infinite lifetime for the starlike dynamics in Hele-Shaw cells-Reference-Cited by-同舟云学术

Infinite lifetime for the starlike dynamics in Hele-Shaw cells

Published:2004-04-08 Issue:9 Volume:132 Page:2661-2669
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Gustafsson Björn,Prokhorov Dmitri,Vasil’ev Alexander

Abstract

One of the “folklore" questions in the theory of free boundary problems is the lifetime of the starlike dynamics in a Hele-Shaw cell. We prove precisely that, starting with a starlike analytic phase domain Ω 0 \Omega _0 , the Hele-Shaw chain of subordinating domains Ω ( t ) \Omega (t) , Ω 0 = Ω ( 0 ) \Omega _0=\Omega (0) , exists for an infinite time under injection at the point of starlikeness.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2004-132-09/S0002-9939-04-07419-2/S0002-9939-04-07419-2.pdf

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