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.

Bellettini, G., Kholmatov, S.Y. (2018). Minimizing movements for mean curvature flow of droplets with prescribed contact angle. JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES, 117, 1-58 [10.1016/j.matpur.2018.06.003].

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

Bellettini, Giovanni;
2018-01-01

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.
2018
Bellettini, G., Kholmatov, S.Y. (2018). Minimizing movements for mean curvature flow of droplets with prescribed contact angle. JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES, 117, 1-58 [10.1016/j.matpur.2018.06.003].
File in questo prodotto:
File Dimensione Formato  
2018_Bellettini_Holmatov_JMPA.pdf

non disponibili

Tipologia: PDF editoriale
Licenza: NON PUBBLICO - Accesso privato/ristretto
Dimensione 926.96 kB
Formato Adobe PDF
926.96 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
bellettini_kholmatov_JMPA_17_2054PREPRINT11365-1029444.pdf

accesso aperto

Tipologia: Pre-print
Licenza: PUBBLICO - Pubblico con Copyright
Dimensione 365.05 kB
Formato Adobe PDF
365.05 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11365/1029444