Homogenization of Linear Parabolic Equations with a Certain Resonant Matching Between Rapid Spatial and Temporal Oscillations in Periodically Perforated Domains  

作　　者：Tatiana LOBKOVA 

机构地区：[1]Department of Mathematics and Science Education,Mid Sweden University

出　　处：《Acta Mathematicae Applicatae Sinica》2019年第2期340-358,共19页应用数学学报（英文版）

摘　　要：In this article, we study homogenization of a parabolic linear problem governed by a coefficient matrix with rapid spatial and temporal oscillations in periodically perforated domains with homogeneous Neumann data on the boundary of the holes. We prove results adapted to the problem for characterization of multiscale limits for gradients and very weak multiscale convergence.In this article, we study homogenization of a parabolic linear problem governed by a coefficient matrix with rapid spatial and temporal oscillations in periodically perforated domains with homogeneous Neumann data on the boundary of the holes. We prove results adapted to the problem for characterization of multiscale limits for gradients and very weak multiscale convergence.

关 键 词：HOMOGENIZATION TWO-SCALE CONVERGENCE multiscale CONVERGENCE PERIODICALLY perforated DOMAINS 

分 类 号：O1[理学—数学]