Stability of integrable and nonintegrable structures
Analysis of PDEs
2015-10-13 v1 Mathematical Physics
math.MP
Abstract
In this paper we give a comprehensive account of several recent results on the stability of nontrivial soliton structures for some well-known non periodic dispersive models. We will focus on the simpler case of the generalized Korteweg-de Vries equations, covering the classical stability results by Bona, Souganidis, Strauss until the results by Martel and Merle and our recent collaborations with Miguel Alejo and Luis Vega.
Cite
@article{arxiv.1510.03366,
title = {Stability of integrable and nonintegrable structures},
author = {Claudio Muñoz},
journal= {arXiv preprint arXiv:1510.03366},
year = {2015}
}
Comments
43 pages, Lecture Notes given at IMPA, Brazil