| Full text | |
| Author(s): |
Natali, Fabio
;
Pastor, Ademir
;
Cristofani, Fabricio
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Journal of Differential Equations; v. 263, n. 5, p. 2630-2660, SEP 5 2017. |
| Web of Science Citations: | 3 |
| Abstract | |
In this paper we establish the orbital stability of periodic waves related to the logarithmic Korteweg-de Vries equation. Our motivation is inspired in the recent work {[}3], in which the authors established the well-posedness and the linear stability of Gaussian solitary waves. By using the approach put forward recently in {[}20] to construct a smooth branch of periodic waves as well as to get the spectral properties of the associated linearized operator, we apply the abstract theories in {[}13] and {[}25] to deduce the orbital stability of the periodic traveling waves in the energy space. (C) 2017 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 13/08050-7 - Nonlinear dispersive evolution equations and applications |
| Grantee: | Ademir Pastor Ferreira |
| Support Opportunities: | Regular Research Grants |