| Full text | |
| Author(s): |
Micu, Sorin
;
Pazoto, Ademir F.
;
Vieira, Miguel D. Soto
Total Authors: 3
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS IN CONTEMPORARY MATHEMATICS; v. N/A, p. 27-pg., 2024-08-28. |
| Abstract | |
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) | |
| FAPESP's process: | 22/15647-9 - Controllability properties for dispersive models |
| Grantee: | Miguel Dario Soto Vieira |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |