Moving boundary problems for time fractional and composition dependent diffusion

被引：18

作者：

Atkinson, Colin ^{[1
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2BZ, England

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2012年 / 15卷 / 02期

关键词：

moving boundary; time fractional composition dependent diffusion; matched asymptotic expansions;

D O I：

10.2478/s13540-012-0015-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some moving boundary problems are considered for time fractional diffusion and explicit results obtained for the motion of planar boundaries, as well as cylindrical and spherical ones. The problem of spherical growth is generalized to include the case of a concentration dependent diffusion coefficient and solutions obtained for slow growth by the method of matched asymptotic expansions.

引用

页码：207 / 221

页数：15

共 8 条

[1] SOME ASYMPTOTIC RESULTS FOR EFFECT OF COMPOSITION-DEPENDENT DIFFUSION ON GROWTH-RATES OF PRECIPITATE PARTICLES [J].