期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 41, 期 15, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/41/15/155001
关键词
-
We study the first eigenvalue of the Laplace equation in a bounded domain in R-d(d = 2, 3) with mixed Neumann-Dirichlet (Zaremba) boundary conditions. The Neumann condition is imposed on most of the boundary and the Dirichlet boundary consists of a cluster of small windows. When the windows are well separated the first eigenvalue is asymptotically the sum of eigenvalues of mixed problems with a single Dirichlet window. However, when two or more Dirichlet windows cluster tightly together they interact nonlinearly. We compare our asymptotic approximation of the eigenvalue to the escape rate of simulated Brownian particles through the small windows.
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