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Nonbranching weak and starshaped strong solutions for Hele-Shaw dynamics
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-3125-3030
2005 (English)In: Archiv der Mathematik, ISSN 0003-889X, E-ISSN 1420-8938, Vol. 84, no 6, 551-558 p.Article in journal (Refereed) Published
Abstract [en]

We consider multidimensional weak and strong Hele-Shaw dynamics Omega(t) of an advancing/receding viscous fluid injected/removed through a single finite point into/from a bounded domain Omega(0). A class of weak solutions is shown to preserve local uniqueness in both directions. Then we also consider strong solutions Omega(t), and show that if Omega(0) is starshaped with respect to a small ball centered on the point of injection, then the evolution Omega(t) exists for all time.

Place, publisher, year, edition, pages
2005. Vol. 84, no 6, 551-558 p.
Keyword [en]
moving boundary-problem, potential-theory, existence, flows, fluid
URN: urn:nbn:se:kth:diva-14826DOI: 10.1007/s00013-005-1070-2ISI: 000229721800009ScopusID: 2-s2.0-21644450024OAI: diva2:332867
QC 20100525Available from: 2010-08-05 Created: 2010-08-05Bibliographically approved

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Gustafsson, Björn
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