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texto impreso
We analyze the dynamics of a reaction–diffusion equation with homogeneous Neumann boundary conditions in a dumbbell domain. We provide an appropriate functional setting to treat this problem and, as a first step, we show in this paper the contin[...]texto impreso
Arrieta Algarra, José María ; Carvalho, Alexandre N. ; Lozada-Cruz, Germán | Academic Press | 2009-07-01In 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, boun[...]texto impreso
In this work we continue the analysis of the asymptotic dynamics of reaction–diffusion problems in a dumbbell domain started in [J.M. Arrieta, A.N. Carvalho, G. Lozada-Cruz, Dynamics in dumbbell domains I. Continuity of the set of equilibria, J.[...]texto impreso
In this paper we conclude the analysis started in [3] and continued in [4] con- cerning the behavior of the asymptotic dynamics of a dissipative reactions di_usion equation in a dumbbell domain as the channel shrinks to a line segment. In [3], w[...]
