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  • Gustafsson, BjörnKTH,Matematik (author)

Infinite lifetime for the starlike dynamics in Hele-Shaw cells

  • Article/chapterEnglish2004

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  • 2004
  • printrdacarrier

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  • LIBRIS-ID:oai:DiVA.org:kth-23510
  • https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-23510URI
  • https://doi.org/10.1090/S0002-9939-04-07419-2DOI

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  • Language:English
  • Summary in:English

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  • Subject category:ref swepub-contenttype
  • Subject category:art swepub-publicationtype

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  • QC 20100525 QC 20111101
  • 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.

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  • Prokhorov, D. (author)
  • Vasil'ev, A. (author)
  • KTHMatematik (creator_code:org_t)

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  • In:Proceedings of the American Mathematical Society132:9, s. 2661-26690002-99391088-6826

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