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Infinite lifetime for the starlike dynamics in Hele-Shaw cells
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- Gustafsson, Björn (author)
- KTH,Matematik
- Prokhorov, D. (author)
- Vasil'ev, A. (author)
- (creator_code:org_t)
- 2004
- 2004
- English.
- In: Proceedings of the American Mathematical Society. - 0002-9939 .- 1088-6826. ; 132:9, s. 2661-2669
- Journal article (peer-reviewed)
Abstract
Subject headings
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- 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 Omega(0), the Hele-Shaw chain of subordinating domains Omega( t), Omega(0) = Omega(0), exists for an infinite time under injection at the point of starlikeness.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- free boundary problem
- Hele-Shaw flow
- univalent function
- starlike function
- Lowner-Kufarev equation
- moving boundary-problem
- flows
Publication and Content Type
- ref (subject category)
- art (subject category)
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