Variational methods and stability of periodic waves for nonlinear dispersive systems
Well-posedness of the Cauchy problem and stability theory for nonlinear dispersive...
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Estadual Campinas UNICAMP, Inst Matemat Estat & Comp Cient IMECC, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil
[2] Univ Estadual Maringa, Dept Matemat, Ave Colombo 5790, BR-87020900 Maringa, PR - Brazil
[3] IMECC UNICAMP, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS IN MATHEMATICAL SCIENCES; v. 18, n. 3, p. 613-634, 2020. |
| Web of Science Citations: | 1 |
| Abstract | |
In this paper, we establish a new criterion for the orbital stability of periodic waves related to a general class of regularized dispersive equations. More specifically, we present sufficient conditions for the stability without knowing the positiveness of the associated Hessian matrix. As application of our method, we show the orbital stability for the fifth-order model. The orbital stability of periodic waves resulting from a minimization of a convenient functional is also proved. (AU) | |
| FAPESP's process: | 17/20760-0 - Variational methods and stability of periodic waves for nonlinear dispersive systems |
| Grantee: | Fabrício Cristófani |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |