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Computational studies of non-local anisotropic Allen-Cahn equation

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F11%3A00185691" target="_blank" >RIV/68407700:21340/11:00185691 - isvavai.cz</a>

  • Result on the web

    <a href="http://mb.math.cas.cz/mb136-4/9.html" target="_blank" >http://mb.math.cas.cz/mb136-4/9.html</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Computational studies of non-local anisotropic Allen-Cahn equation

  • Original language 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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    JG - Metallurgy, metal materials

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/LC06052" target="_blank" >LC06052: The Nečas Center for Mathematical Modeling</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2011

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Mathematica Bohemica

  • ISSN

    0862-7959

  • e-ISSN

  • Volume of the periodical

    136

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    9

  • Pages from-to

    429-437

  • UT code for WoS article

  • EID of the result in the Scopus database