Stochastic Homogenization on Irregularly Perforated Domains

Autor:	Heida, Martin, Jahnel, Benedikt, Vu, Anh Duc
Rok vydání:	2021
Předmět:	Mathematics - Analysis of PDEs Mathematics - Probability 74Q05 47J30 60K35
Druh dokumentu:	Working Paper
Popis:	We study stochastic homogenization of a quasilinear parabolic PDE with nonlinear microscopic Robin conditions on a perforated domain. The focus of our work lies on the underlying geometry that does not allow standard homogenization techniques to be applied directly. Instead we prove homogenization on a regularized geometry and demonstrate afterwards that the form of the homogenized equation is independent from the regularization. Then we pass to the regularization limit to obtain the anticipated limit equation. Furthermore, we show that Boolean models of Poisson point processes are covered by our approach. Comment: 41 pages, 7 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2110.03256 Zobrazit plný text záznamu View this record from Arxiv