On the controllability and stabilization of the Benjamin equation and its generali...
Dispersive equations: Controllability and stabilization in periodic domains
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| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Estadual Campinas, Dept Math, Sao Paulo, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS; v. 51, FEB 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
In this work we study the controllability and stabilization of the linearized Benjamin equation which models the unidirectional propagation of long waves in a two-fluid system where the lower fluid with greater density is infinitely deep and the interface is subject to capillarity. We show that the linearized Benjamin equation with periodic boundary conditions is exactly controllable and exponentially stabilizable with any given decay rate in H-p(s)(T) with s >= 0. (C) 2019 Elsevier Ltd. All rights reserved. (AU) | |
| FAPESP's process: | 15/06131-5 - Study of solutions to some non-linear evolution equations of dispersive type |
| Grantee: | Francisco Javier Vielma Leal |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 18/18883-0 - On the controllability and stabilization of the Benjamin equation and its generalization on a periodic domain |
| Grantee: | Francisco Javier Vielma Leal |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |