Dynamics in Dumbbell domains: continuity of attractors
Description: Our aim in this research project is to give continuity to the study of the dynamics in dumbbell domains, particularly our interest is the study of teh continuity of the attractors, which was iniatiated during my doctorate. Our focus is the study of a parabolic problem with Nuemann bounary conditions in dumbbell-type domains Ω_ε consisting of two disconnected domains, that we will denote by Ω, joined by a thin channel, R_ε, which degenerates to a line segment as the parameter ε approaches to zero. Also we are interested in existence, uniqueness, continuation and continuous dependence of solution to limit problem (ε->0) with relation to the inital data using semigroups integrated theory. (AU)
Funding type: grant
Funder scheme: Auxílio à Pesquisa - Regular
Start date: 2006-11-01
End date: 2008-10-31
Investigator: German Jesus Lozada Cruz
Institution: Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. Instituto de Biociências, Letras e Ciências Exatas (IBILCE)
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Funded outputs count: 3
Funder award ID: 06/04781-3
OpenAlex ID: G465950954