Controllability results for some nonlinear coupled parabolic systems by one control force
In this paper, we present new controllability results for some nonlinear coupled parabolic systems considered in a bounded domain Ω of IRN (with N ≥ 1 being arbitrary) when the control force acts on a unique equation of the system through an arbitrarily small open set ω ⊂ Ω. As a model example, we c...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2006 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/41479 |
| Acceso en línea: | http://hdl.handle.net/11441/41479 |
| Access Level: | acceso abierto |
| Palabra clave: | Controllability Nonlinear coupled systems of parabolic type |
| Sumario: | In this paper, we present new controllability results for some nonlinear coupled parabolic systems considered in a bounded domain Ω of IRN (with N ≥ 1 being arbitrary) when the control force acts on a unique equation of the system through an arbitrarily small open set ω ⊂ Ω. As a model example, we consider a nonlinear phase field system with certain superlinear nonlinearities and prove the null controllability, the exact controllability to the trajectories and the approximate controllability of the model. The crucial point in this paper is the new strategy developed to deal with the null controllability of linear coupled parabolic systems by a unique control force. Global Carleman estimates and the parabolic regularizing effect of the problem are used. |
|---|