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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

REDUCTION OF INFINITE DIMENSIONAL SYSTEMS TO FINITE DIMENSIONS: COMPACT CONVERGENCE APPROACH

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Author(s):
Carvalho, A. N. [1] ; Cholewa, J. W. [2] ; Lozada-Cruz, G. [3] ; Primo, M. R. T. [4]
Total Authors: 4
Affiliation:
[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil
[2] Silesian Univ, Inst Math, PL-40007 Katowice - Poland
[3] Univ Estadual Paulista, Dept Matemat, IBILCE, UNESP, BR-15054000 Sao Paulo - Brazil
[4] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, Parana - Brazil
Total Affiliations: 4
Document type: Journal article
Source: SIAM JOURNAL ON MATHEMATICAL ANALYSIS; v. 45, n. 2, p. 600-638, 2013.
Web of Science Citations: 4
Abstract

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. (AU)

FAPESP's process: 09/52687-4 - Jan Wladyslaw Cholewa | University of Silesia - Poland
Grantee:Alexandre Nolasco de Carvalho
Support Opportunities: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 09/08435-0 - Rate of convergence of attractors for the discretization of differential equations of parabolic type using the method of finite elements
Grantee:German Jesus Lozada Cruz
Support Opportunities: Regular Research Grants