Instantaneous convexity breaking for the quasi-static droplet model

Albert Chau; Ben Weinkove

doi:10.4171/IFB/498

Instantaneous convexity breaking for the quasi-static droplet model

Albert Chau, Ben Weinkove

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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 Rⁿ. We give an example to show that convexity of the domain can be instantaneously broken.

Original language	English (US)
Pages (from-to)	517-523
Number of pages	7
Journal	Interfaces and Free Boundaries
Volume	25
Issue number	3
DOIs	https://doi.org/10.4171/IFB/498
State	Published - 2023

Keywords

convexity
Liquid droplet
quasi-static model

ASJC Scopus subject areas

Applied Mathematics

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10.4171/IFB/498

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title = "Instantaneous convexity breaking for the quasi-static droplet model",

abstract = "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 Rn. We give an example to show that convexity of the domain can be instantaneously broken.",

keywords = "convexity, Liquid droplet, quasi-static model",

author = "Albert Chau and Ben Weinkove",

note = "Funding Information: Funding. This work was partially supported by NSERC grant #327637-06 and NSF grant DMS-2005311. Publisher Copyright: {\textcopyright} 2023 European Mathematical Society.",

year = "2023",

doi = "10.4171/IFB/498",

language = "English (US)",

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AU - Chau, Albert

AU - Weinkove, Ben

PY - 2023

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N2 - 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 Rn. We give an example to show that convexity of the domain can be instantaneously broken.

AB - 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 Rn. We give an example to show that convexity of the domain can be instantaneously broken.

KW - convexity

KW - Liquid droplet

KW - quasi-static model

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JO - Interfaces and Free Boundaries

JF - Interfaces and Free Boundaries

IS - 3

ER -

Instantaneous convexity breaking for the quasi-static droplet model

Abstract

Keywords

ASJC Scopus subject areas

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