RT Journal Article
T1 Dynamics in Dumbbell domains II. The limiting problem
A1 Arrieta Algarra, José María
A1 Carvalho, Alexandre N.
A1 Lozada-Cruz, Germán
AB 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.
PB Academic Press
SN 1090-2732
YR 2009
FD 2009-07-01
LK https://hdl.handle.net/20.500.14352/41891
UL https://hdl.handle.net/20.500.14352/41891
LA eng
NO MEC
NO Programa de Financiación de Grupos de Investigación UCM-Comunidad de Madrid
NO CNP
NO CAPES/DGU
NO FAPESP
DS Docta Complutense
RD 16 may 2024