Nonlocal reaction−diffusion equations and nucleation
Nonlocal reaction−diffusion equations and nucleation
复制标题
DOI：
10.1093/imamat/48.3.249
复制
发表时间：
1992
影响因子：
1.2
通讯作者：
J. Rubinstein;P. Sternberg
中科院分区：
文献类型：
--
作者：
J. Rubinstein;P. Sternberg
利用匹配渐近展开式和多时间尺度，提出并分析了一个非局部反应扩散方程。该问题模拟了二元混合物的相分离过程。方程的特殊形式是由变分法的论点所驱动的，而非定域性则是由质量守恒的强制执行所引起的。结果表明，解的演化可以通过跟踪分相锋的运动来表征。发现界面的传播是一个非局部依赖于平均曲率的粗化过程
A nonlocal reaction-diffusion equation is presented and analysed using matched asymptotic expansions and multiple timescales. The problem models a binary mixture undergoing phase separation. The particular form of the equation is motivated by arguments from the calculus of variations, with the nonlocality arising from an enforcement of conservation of mass. It is shown that the evolution of the solution can be characterized by tracking the motion of fronts separating phases. The propagation of the interfaces is found to be a coarsening process which depends in a nonlocal fashion on mean curvature