HOMOGENIZATION IN COARSENING SYSTEMS I: DETERMINISTIC CASE
HOMOGENIZATION IN COARSENING SYSTEMS I: DETERMINISTIC CASE
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粗化系统中的均质化 I：确定性情况
DOI：
10.1142/s021820250400360x
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发表时间：
2004
影响因子：
3.5
通讯作者：
J. Velázquez
中科院分区：
文献类型：
--
作者：
B. Niethammer;J. Velázquez
我们研究了均匀化极限的Mullins-Sekerka问题，作为一个模型的后期粗化的相变。我们考虑的情况下，屏蔽长度描述的有效范围内的粒子相互作用是远远小于系统的大小，这导致在无界域的均匀化问题。本文讨论了平均均匀分布的确定性初始粒子分布。随机粒子分布将在第二篇论文（第二部分）中讨论。
We study the homogenization limit of the Mullins–Sekerka problem which serves as a model for late-stage coarsening in a phase transformation. We consider the case that the screening length which describes the effective range of particle interactions is much smaller than the system size, which leads to homogenization problems in unbounded domains. The present paper deals with deterministic initial particle distributions which are in an average sense homogeneously distributed. Stochastic particle distributions will be considered in a second paper (Part II).