| Texto completo | |
| Autor(es): |
Micu, Sorin
;
Pazoto, Ademir F.
;
Vieira, Miguel D. Soto
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | COMMUNICATIONS IN CONTEMPORARY MATHEMATICS; v. N/A, p. 27-pg., 2024-08-28. |
| Resumo | |
The paper deals with the boundary controllability of a family of nonlinear Boussinesq systems introduced by J. L. Bona, M. Chen and J.-C. Saut to describe the two-way propagation of small amplitude gravity waves on the surface of water in a canal. By combining the classical duality approach and a careful spectral analysis of the operator associated with the state equations, we first obtain the exact controllability of the linearized system in suitable Hilbert spaces. Then, by means of a contraction mapping principle, we establish the local exact controllability for the original nonlinear system. (AU) | |
| Processo FAPESP: | 22/15647-9 - Propriedades de controlabilidade para modelos dispersivos |
| Beneficiário: | Miguel Dario Soto Vieira |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |