Characterization of the limit of some higher dymensional thin domain problems
| dc.creator | Elsken, T. | |
| dc.creator | Prizzi, M. | |
| dc.date | 2002-09-20 | |
| dc.date.accessioned | 2026-07-07T04:51:04Z | |
| dc.date.available | 2026-07-07T04:51:04Z | |
| dc.description | A reaction-diffusion equation on a family of three dimensional thin domains, collapsing onto a two dimensional subspace, is considered. In \cite{\rfa pr..} it was proved that, as the thickness of the domains tends to zero, the solutions of the equations converge in a strong sense to the solutions of an abstract semilinear parabolic equation living in a closed subspace of $H^1$. Also, existence and upper semicontinuity of the attractors was proved. In this work, for a specific class of domains, the limit problem is completely characterized as a system of two-dimensional reaction-diffusion equations, coupled by mean of compatibility and balance boundary conditions. | |
| dc.description | 29 pages; 2 figures; to appear in "Topological Methods in Nonlinear Analysis" | |
| dc.identifier | https://arxiv.org/abs/math/0209266 | |
| dc.identifier | http://arxiv.org/abs/math/0209266 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65015 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Dynamical Systems | |
| dc.subject | 35K57; 74G40 | |
| dc.title | Characterization of the limit of some higher dymensional thin domain problems | |
| dc.type | text |