Instantaneous convexity breaking for the quasi-static droplet model

Instantaneous convexity breaking for the quasi-static droplet model

We consider a well-known quasi-static model for the shape of a liquid droplet. The solution can be described in terms of time-evolving domains in \mathbb{R}^n . We give an example to show that convexity of the domain can be instantaneously broken.

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Veröffentlicht in:Interfaces and free boundaries 2023-09, Vol.25 (3), p.517-523
Hauptverfasser: Chau, Albert, Weinkove, Ben
Format: Artikel
Sprache:eng
Schlagworte:
Convex surfaces
Liquids
Mathematical models
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Beschreibung
Zusammenfassung:We consider a well-known quasi-static model for the shape of a liquid droplet. The solution can be described in terms of time-evolving domains in \mathbb{R}^n . We give an example to show that convexity of the domain can be instantaneously broken.
ISSN:1463-9963
1463-9971
DOI:10.4171/IFB/498