Computational studies of non-local anisotropic Allen-Cahn equation

Title:

Computational studies of non-local anisotropic Allen-Cahn equation

Creator:

Beneš, Michal, Yazaki, Shigetoshi, and Kimura, Masato

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:8255c5b8-119f-49e4-9cf1-9a778981e256
uuid:8255c5b8-119f-49e4-9cf1-9a778981e256
doi:10.21136/MB.2011.141702

Subject:

Allen-Cahn equation, phase transitions, mean-curvature flow, and finite-difference method

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

429-437

Source:

Mathematica bohemica | 2011 Volume:136 | Number:4

Harvested from:

CDK

Metadata only:

false