Dynamics in Dumbbell domains. I: Continuity of the set of equilibria.
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 continuity of the set of equilibria and of its linear unstabl...
| Authors: | ; ; |
|---|---|
| Format: | Article |
| Publication date: | 2006 |
| Country: | España |
| Institution: | Universidad Complutense de Madrid (UCM) |
| Repository: | Docta Complutense |
| Language: | English |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/49744 |
| Online Access: | https://hdl.handle.net/20.500.14352/49744 |
| Access Level: | Open access |
| Keyword: | 517.9 Reaction-diffusion equation Stationary solutions Dumbbell domains continuity Homogeneous Neumann boundary conditions Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias |
| _version_ | 1878741993154150400 |
|---|---|
| author | Arrieta Algarra, José María |
| author2 | Carvalho, Alexandre N. Lozada-Cruz, Germán |
| author2_role | author author |
| author_browse | Arrieta Algarra, José María Carvalho, Alexandre N. Lozada-Cruz, Germán |
| author_facet | Arrieta Algarra, José María Carvalho, Alexandre N. Lozada-Cruz, Germán |
| author_role | author |
| collection | Docta Complutense |
| description | 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 continuity of the set of equilibria and of its linear unstable manifolds. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_ee7e77fecf7afbb7e68bb67a71b10cdf |
| institution | Universidad Complutense de Madrid (UCM) |
| instname_str | Universidad Complutense de Madrid (UCM) |
| language | eng |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:docta.ucm.es:20.500.14352/49744 |
| publishDate | 2006 |
| publishDateSort | 2006 |
| publisher | Elsevier |
| publisherStr | Elsevier |
| reponame_str | Docta Complutense |
| spelling | Dynamics in Dumbbell domains. I: Continuity of the set of equilibria. Arrieta Algarra, José María Carvalho, Alexandre N. Lozada-Cruz, Germán 517.9 Reaction-diffusion equation Stationary solutions Dumbbell domains continuity Homogeneous Neumann boundary conditions Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias 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 continuity of the set of equilibria and of its linear unstable manifolds. Elsevier https://hdl.handle.net/20.500.14352/49744 |
| spellingShingle | Dynamics in Dumbbell domains. I: Continuity of the set of equilibria. Arrieta Algarra, José María 517.9 Reaction-diffusion equation Stationary solutions Dumbbell domains continuity Homogeneous Neumann boundary conditions Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias |
| title | Dynamics in Dumbbell domains. I: Continuity of the set of equilibria. |
| title_full | Dynamics in Dumbbell domains. I: Continuity of the set of equilibria. |
| title_fullStr | Dynamics in Dumbbell domains. I: Continuity of the set of equilibria. |
| title_full_unstemmed | Dynamics in Dumbbell domains. I: Continuity of the set of equilibria. |
| title_short | Dynamics in Dumbbell domains. I: Continuity of the set of equilibria. |
| title_sort | Dynamics in Dumbbell domains. I: Continuity of the set of equilibria. |
| topic | 517.9 Reaction-diffusion equation Stationary solutions Dumbbell domains continuity Homogeneous Neumann boundary conditions Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias |
| topic_facet | 517.9 Reaction-diffusion equation Stationary solutions Dumbbell domains continuity Homogeneous Neumann boundary conditions Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias |
| url | https://hdl.handle.net/20.500.14352/49744 |