Autor:	Liselott Flodén, Marianne Olsson
Rok vydání:	2007
Předmět:	Applied Mathematics Mathematical analysis Parabolic problem Asymptotic expansion Homogenization (chemistry) Compact convergence Mathematics
Zdroj:	Applications of Mathematics. 52:431-446
ISSN:	1572-9109 0862-7940
DOI:	10.1007/s10492-007-0025-2
Popis:	The main focus in this paper is on homogenization of the parabolic problem ∂ t uɛ − ∇ · (a(x/ɛ,t/ɛ,t/ɛ r )∇u ɛ ) = f. Under certain assumptions on a, there exists a G-limit b, which we characterize by means of multiscale techniques for r > 0, r ≠ 1. Also, an interpretation of asymptotic expansions in the context of two-scale convergence is made.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::454bf2eac6c0351e70fb6a4629ddbcea https://doi.org/10.1007/s10492-007-0025-2 Zobrazit plný text záznamu Full text from SpringerLink