Approximation of crystalline dendrite growth in two space dimensions.
Schmidt, A. (1998)
Acta Mathematica Universitatis Comenianae. New Series
Similarity:
Schmidt, A. (1998)
Acta Mathematica Universitatis Comenianae. New Series
Similarity:
Paolini, M. (1998)
Acta Mathematica Universitatis Comenianae. New Series
Similarity:
Giovanni Bellettini, Maurizio Paolini (1994)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Similarity:
We provide two examples of a regular curve evolving by curvature with a forcing term, which degenerates in a set having an interior part after a finite time.
Hitoshi Imai, Naoyuki Ishimura, Takeo Ushijima (1999)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Similarity:
Michal Beneš, Shigetoshi Yazaki, Masato Kimura (2011)
Mathematica Bohemica
Similarity:
The paper presents the results of numerical solution of the Allen-Cahn equation with a non-local term. This equation originally mentioned by Rubinstein and Sternberg in 1992 is related to the mean-curvature flow with the constraint of constant volume enclosed by the evolving curve. We study this motion approximately by the mentioned PDE, generalize the problem by including anisotropy and discuss the computational results obtained.
Shigetoshi Yazaki (2007)
Kybernetika
Similarity:
Asymptotic behavior of solutions of an area-preserving crystalline curvature flow equation is investigated. In this equation, the area enclosed by the solution polygon is preserved, while its total interfacial crystalline energy keeps on decreasing. In the case where the initial polygon is essentially admissible and convex, if the maximal existence time is finite, then vanishing edges are essentially admissible edges. This is a contrast to the case where the initial polygon is admissible...