On asymptotic stability of nonlinear waves | Zendy

Michał Kowalczyk | Zendy; Yvan Martel | Zendy; Claudio Muñoz | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On asymptotic stability of nonlinear waves

Author(s) -

Michał Kowalczyk,

Yvan Martel,

Claudio Muñoz

Publication year - 2017

Publication title -

séminaire laurent schwartz — edp et applications

Language(s) - English

Resource type - Journals

ISSN - 2266-0607

DOI - 10.5802/slsedp.111

Subject(s) - breather , nonlinear system , stability (learning theory) , korteweg–de vries equation , mathematics , mathematical analysis , exponential stability , nonlinear schrödinger equation , physics , mathematical physics , schrödinger equation , quantum mechanics , computer science , machine learning

We review some results on asymptotic stability of nonlinear waves for a few dispersive or wave models, like the nonlinear Schrödinger equation, the generalized Korteweg-de Vries equation, and the nonlinear wave and Klein-Gordon equations. Then, we focus on recent results of the authors concerning the asymptotic stability of the kink for the φ equation under odd perturbations. We also present two results (one of which seems previously unknown) of non-existence of small breathers for some nonlinear Klein-Gordon equations.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research