2026-08-20T15:41:17Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/418912023-08-27T17:04:16Zcom_20.500.14352_14col_20.500.14352_15
Dynamics in Dumbbell domains II. The limiting problem
Arrieta Algarra, José María
Carvalho, Alexandre N.
Lozada-Cruz, Germán
517.9
Domain with attached curve
Linear and nonlinear semigroups
Ecuaciones diferenciales
1202.07 Ecuaciones en Diferencias
In this work we continue the analysis of the asymptotic dynamics of reaction diffusion problems in a dumbbell domains started in [3]. Here we study the limiting problem, that is, an evolution problem in a \domain" which consists of an open, bounded and smooth set Ω RN with a curve R0 attached to it. The evolution in both parts of the domain is governed by a parabolic equation. In Ω the evolution is independent of the evolution in R0 whereas in R0 the evolution depends of the evolution in through the continuity condition of the solution at the junction points. We analyze in detail the linear elliptic and parabolic problem, the generation of linear and nonlinear semigroups, the existence and structure of attractors.
MEC
Programa de Financiación de Grupos de Investigación UCM-Comunidad de Madrid
CNP
CAPES/DGU
FAPESP
Depto. de Análisis Matemático y Matemática Aplicada
Fac. de Ciencias Matemáticas
TRUE
pub
2023-06-20T00:04:28Z
2023-06-20T00:04:28Z
2009-07-01
journal article
https://hdl.handle.net/20.500.14352/41891
1090-2732
10.1016/j.jde.2009.03.014
eng
PHB2006-003-PC
MTM2006-08262
CCG07-UCM/ESP-239
Grupo 920894
SIMUMAT-Comunidad de Madrid
305447/2005-0
451761/2008-1
267/2008
2008/53094-4
06/04781-3
07/00981-0
open access
application/pdf
Academic Press