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Classification of degree three polynomial solutions to the Polubarinova-Galin equation
KTH, School of Engineering Sciences (SCI).
2015 (English)In: European journal of applied mathematics (Print), ISSN 0956-7925, E-ISSN 1469-4425, Vol. 26, 848-861 p.Article in journal (Refereed) Published
Abstract [en]

The Polubarinova-Galin equation describes a parametric conformal map for the zero-surface-tension Hele-Shaw flow driven by injection or suction. In this paper, we classify degree three polynomial solutions to the Polubarinova-Galin equation into three categories: global solutions, solutions which can be continued after blow-up and solutions which cannot be continued after blow-up. The coefficient region of the initial functions in each category is obtained.

Place, publisher, year, edition, pages
Cambridge University Press, 2015. Vol. 26, 848-861 p.
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:kth:diva-176940DOI: 10.1017/S0956792515000194ISI: 000363418600002Scopus ID: 2-s2.0-84946478285OAI: oai:DiVA.org:kth-176940DiVA: diva2:881808
Note

QC 20151211

Available from: 2015-12-11 Created: 2015-11-13 Last updated: 2015-12-11Bibliographically approved

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Lin, Yu-Lin
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