期刊
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
卷 190, 期 2, 页码 307-345出版社
SPRINGER
DOI: 10.1007/s00205-008-0154-0
关键词
-
资金
- COFIN-MIUR
We consider a stochastically perturbed reaction diffusion equation in a bounded interval, with boundary conditions imposing the two stable phases at the endpoints. We investigate the asymptotic behavior of the front separating the two stable phases, as the intensity of the noise vanishes and the size of the interval diverges. In particular, we prove that, in a suitable scaling limit, the front evolves according to a one-dimensional diffusion process with a non-linear drift accounting for a soft repulsion from the boundary. We finally show how a hard repulsion can be obtained by an extra diffusive scaling.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据