Ostwald ripening in two dimensions—the rigorous derivation of the equations from the Mullins-Sekerka dynamics

Ostwald ripening in two dimensions—the rigorous derivation of the equations from the Mullins-Sekerka dynamics
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DOI:
10.1016/j.jde.2004.05.008
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发表时间:
2004-10
影响因子:
2.4
通讯作者:
N. Alikakos;G. Fusco;G. Karali
N. Alikakos;G. Fusco;G. Karali
中科院分区:
数学2区
文献类型:
--
作者:
N. Alikakos;G. Fusco;G. Karali

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我们考虑一个有限数量的粒子的稀释混合物,我们感兴趣的是在两个空间维度下Mullins-Sekerka动力学的空间分布的粗化。在适当的尺度假设下,我们将半径和中心与每个粒子联系起来,并推导出整个演化的方程。
We consider a dilute mixture of a finite number of particles and we are interested in the coarsening of the spatial distribution in two space dimensions under Mullins–Sekerka dynamics. Under the appropriate scaling hypotheses we associate radii and centers to each particle and derive equations for the whole evolution.