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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Displaying similar documents to “A numerical scheme for the two phase Mullins-Sekerka problem.”
Interfacial dynamics for thermodynamically consistent phase-field models with nonconserved order parameter.
One-sided Mullins-Sekerka flow does not preserve convexity.
Mayer, Uwe F. (1993)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Two-sided Mullins-Sekerka flow does not preserve convexity.
Mayer, Uwe F. (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Simulation of anisotropic motion by mean curvature -- comparison of phase field and sharp interface approaches.
Beneš, M., Mikula, K. (1998)
Acta Mathematica Universitatis Comenianae. New Series
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A coupled Cahn-Hilliard particle system.
Shardlow, Tony (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Analysis for a molten carbonate fuel cell.
van Duijn, C.J., Fehribach, J.D. (1993)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Calculations of the hurricane eye motion based on singularity propagation theory.
Danilov, Vladimir, Omel'yanov, Georgii, Rozenknop, Daniil (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Computational studies of non-local anisotropic Allen-Cahn equation
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.
Dynamical morphology of the brain's ventricular cavities in hydrocephalus.
Drapaca, C.S., Sivaloganathan, S., Tenti, G., Drake, J.M. (2005)
Journal of Theoretical Medicine
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interfaces of solutions for one-dimensional parabolic -Laplacian equations.
Ham, Yoonmi, Ko, Youngsang (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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