Reduction of infinite dimensional systems to finite dimensions: compact convergence approach

Autor:	M. R. T. Primo, German Lozada-Cruz, Jan W. Cholewa, Alexandre N. Carvalho
Rok vydání:	2013
Předmět:	Applied Mathematics Limit value Mathematical analysis Asymptotic dynamics Reduction (complexity) Computational Mathematics Attractor SISTEMAS DINÂMICOS Spatial homogeneity Invariant (mathematics) Analysis Compact convergence Parameter dependent Mathematics
Zdroj:	Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual) Universidade de São Paulo (USP) instacron:USP
Popis:	We consider parameter dependent semilinear evolution problems for which, at the limit value of the parameter, the problem is finite dimensional. We introduce an abstract functional analytic framework that applies to many problems in the existing literature for which the study of asymptotic dynamics can be reduced to finite dimensions via the invariant manifolds technique. Some practical models are considered to show wide applicability of the theory.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b9650ba97d620e8e90109f7e5fbc7e0 Zobrazit plný text záznamu