The Stefan problem and concavity

We construct examples for the one-phase Stefan problem which show that α -concavity of the solution is in general not preserved in time, for 0 ≤ α < 1 / 2 . In particular, this shows that, in contrast to the case of the heat equation for a fixed convex domain, log concavity is not preserved for s...

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Veröffentlicht in:	Calculus of variations and partial differential equations 2021-10, Vol.60 (5), Article 176
Hauptverfasser:	Chau, Albert, Weinkove, Ben
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Calculus of Variations and Optimal Control Optimization Concavity Control Mathematical and Computational Physics Mathematics Mathematics and Statistics Systems Theory Theoretical Thermodynamics
Online-Zugang:	Volltext
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