| Texto completo | |
| Autor(es): |
Angulo Pava, Jaime
;
Plaza, Ramon G.
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | STUDIES IN APPLIED MATHEMATICS; v. 137, n. 4, p. 473-501, NOV 2016. |
| Citações Web of Science: | 0 |
| Resumo | |
In this paper, we establish the orbital stability of a class of spatially periodic wave train solutions to multidimensional nonlinear Klein-Gordon equations with periodic potential. We show that the orbit generated by the one-dimensional wave train is stable under the flow of the multidimensional equation under perturbations which are, on one hand, coperiodic with respect to the translation or Galilean variable of propagation, and, on the other hand, periodic (but not necessarily coperiodic) with respect to the transverse directions. That is, we show their transverse orbital stability. The class of periodic wave trains under consideration is the family of subluminal rotational waves, which are periodic in the momentum but unbounded in their position. (AU) | |
| Processo FAPESP: | 15/12543-4 - (Espectral)-não-linear estabilidade de ondas periódicas para uma equação modificada de sine-Gordon |
| Beneficiário: | Jaime Angulo Pava |
| Modalidade de apoio: | Auxílio à Pesquisa - Pesquisador Visitante - Internacional |