Global in time solution to the Hele-Shaw problem with a change of topology

The existence of classical solutions with a free boundary changing its topology in time is proved for the multi-dimensional Hele-Shaw problem. We prove that, if some symmetry and monotonicity conditions on the problem data hold, then a cusp, arising at the contact between two free boundary component...

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Veröffentlicht in:	European journal of applied mathematics 2002-08, Vol.13 (4), p.431-447
Hauptverfasser:	MEIRMANOV, ANVARBEK M., ZALTZMAN, BORIS
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied mathematics
Online-Zugang:	Volltext
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