### Interfacial dynamics for thermodynamically consistent phase-field models with nonconserved order parameter.

Fife, Paul C., Penrose, Oliver (1995)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Fife, Paul C., Penrose, Oliver (1995)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Mayer, Uwe F. (1993)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Mayer, Uwe F. (1997)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Beneš, M., Mikula, K. (1998)

Acta Mathematica Universitatis Comenianae. New Series

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Shardlow, Tony (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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van Duijn, C.J., Fehribach, J.D. (1993)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Danilov, Vladimir, Omel&#039;yanov, Georgii, Rozenknop, Daniil (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Michal Beneš, Shigetoshi Yazaki, Masato Kimura (2011)

Mathematica Bohemica

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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.

Drapaca, C.S., Sivaloganathan, S., Tenti, G., Drake, J.M. (2005)

Journal of Theoretical Medicine

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Ham, Yoonmi, Ko, Youngsang (1999)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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