Obstruction and some approximate controllability results for the burgers equation and related problems
The paper studies the approximate controllability for the Burgers equation. Due to the presence of a superlinear term, an obstruction phenomenon arises which implies a lack of approximate controllability in spaces of type L^p or $C$. However, the author is able to prove several controllability resul...
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| Formato: | capítulo de livro |
| Fecha de publicación: | 1996 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/60562 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/60562 |
| Access Level: | acceso abierto |
| Palavra-chave: | 531.3-523.222 approximate controllability Burgers equation Navier-Stokes system Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias |
| Resumo: | The paper studies the approximate controllability for the Burgers equation. Due to the presence of a superlinear term, an obstruction phenomenon arises which implies a lack of approximate controllability in spaces of type L^p or $C$. However, the author is able to prove several controllability results under suitable constraints on the desired state. Finally, a necessary condition for the approximate controllability of the Navier-Stokes system on a rectangle is given. |
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