Homogenization of random parabolic operators. Diffusion approximation

Autor:	Kleptsyna, Marina, Piatnitski, Andrey, Popier, Alexandre
Rok vydání:	2013
Předmět:	Mathematics - Probability Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	The paper deals with homogenization of divergence form second order parabolic operators whose coefficients are periodic in spatial variables and random stationary in time. Under proper mixing assumptions, we study the limit behaviour of the normalized difference between solutions of the original and the homogenized problems. The asymptotic behaviour of this difference depends crucially on the ratio between spatial and temporal scaling factors. Here we study the case of self-similar parabolic diffusion scaling.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1307.2547 Zobrazit plný text záznamu View this record from Arxiv