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The time-fractional Allen–Cahn equation on geometric computational domains
Communications in Nonlinear Science and Numerical Simulation ( IF 3.4 ) Pub Date : 2024-11-19 , DOI: 10.1016/j.cnsns.2024.108455 Dongsun Lee, Hyunju Kim
Communications in Nonlinear Science and Numerical Simulation ( IF 3.4 ) Pub Date : 2024-11-19 , DOI: 10.1016/j.cnsns.2024.108455 Dongsun Lee, Hyunju Kim
Phase separation, the formation of two distinct phases from a single homogeneous mixture, has been extensively studied and observed in classical systems, typically as temperature changes. These separation phenomena depend on temperature and vary with different materials. We explore the numerical model, which shows various aspects of phase separation, such as time delay, the influence of heterogeneous materials on each domain, and the separation behavior in polyhedrons for industrial potentials.
中文翻译:
几何计算域上的时间分数 Allen-Cahn 方程
相分离,即从单个均相混合物中形成两个不同的相,已在经典系统中得到广泛研究和观察,通常是温度变化。这些分离现象取决于温度,并因材料的不同而变化。我们探索了数值模型,它显示了相分离的各个方面,例如时间延迟、异质材料对每个域的影响以及多面体中工业电位的分离行为。
更新日期:2024-11-19
中文翻译:
几何计算域上的时间分数 Allen-Cahn 方程
相分离,即从单个均相混合物中形成两个不同的相,已在经典系统中得到广泛研究和观察,通常是温度变化。这些分离现象取决于温度,并因材料的不同而变化。我们探索了数值模型,它显示了相分离的各个方面,例如时间延迟、异质材料对每个域的影响以及多面体中工业电位的分离行为。