The Lifshitz-Slyozov equation with encounters

被引：27

作者：

Laurençot, P

机构：

[1] Univ Nancy 1, CNRS, F-54506 Vandoeuvre Nancy, France

[2] Univ Nancy 1, Inst Elie Cartan, F-54506 Vandoeuvre Nancy, France

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2001年 / 11卷 / 04期

关键词：

D O I：

10.1142/S0218202501001070

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Lifshitz-Slyozov theory of coarsening in alloys describes the time evolution of the sizes of the grains of a new phase growing by mass transfer from a supersaturated solid solution. When the encounters between the grains are taken into account, the volume distribution function of the grains obeys a transport equation with a nonlocal nonlinearity and an integral source term. Global existence of solutions is proved for a large class of data including the ones derived by Lifshitz and Slyozov.

引用

页码：731 / 748

页数：18

共 20 条

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