New asymptotic analysis method for phase field models in moving boundary problem with surface tension

DOI10.3934/dcdsb.2015.20.3185zbMath1334.35444OpenAlexW2527604189MaRDI QIDQ500162

Jie Wang, Xiaoqiang Wang

Publication date: 1 October 2015

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2015.20.3185

zbMATH Keywords

approximationCahn-Hilliard equationmean curvatureasymptotic analysisnumerical simulationAllen-Cahn equationdouble asymptotic expansionphase fieldHele-Shaw problem

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Moving boundary problems for PDEs (35R37)

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