Nonlinear Stability of MKdV Breathers
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Breather solutions of the modified Korteweg-de Vries equation are shown to be globally stable in a natural H 2 topology. Our proof introduces a new Lyapunov functional, at the H 2 level, which allows to describe the dynamics of small perturbations, including oscillations induced by the periodicity of the solution, as well as a direct control of the corresponding instability modes. In particular, degenerate directions are controlled using low-regularity conservation laws.
Originalsprog | Engelsk |
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Tidsskrift | Communications in Mathematical Physics |
Vol/bind | 34 |
Udgave nummer | 1 |
Sider (fra-til) | 233-262 |
ISSN | 0010-3616 |
DOI | |
Status | Udgivet - 2013 |
ID: 113813696