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Minimizing movements for mean curvature flow of droplets with prescribed contact angle

Bellettini, Giovanni
•
Kholmatov, Sh. Yu.
2018
  • journal article

Periodico
JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES
Abstract
We study the mean curvature motion of a droplet flowing by mean curvature on a horizontal hyperplane with a possibly nonconstant prescribed contact angle. Using the solutions constructed as a limit of an approximation algorithm of Almgren-Taylor-Wang and Luckhaus-Sturzenhecker, we show the existence of a weak evolution, and its compatibility with a distributional solution. We also prove various comparison results.
DOI
10.1016/j.matpur.2018.06.003
WOS
WOS:000442978200001
Archivio
https://hdl.handle.net/11390/1313908
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85048730552
https://www.sciencedirect.com/science/article/pii/S0021782418300825?via=ihub
https://ricerca.unityfvg.it/handle/11390/1313908
Diritti
closed access
license:non pubblico
license uri:iris.2.pri01
Soggetti
  • Mean curvature flow w...

  • Sets of finite perime...

  • Capillary functional

  • Minimizing movements

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