Claudio Muñoz

activity

20062023

most citedThe Gardner equation and the L^2-stability of the N-soliton solution of the Korteweg-de Vries equation

8 citations · 21 across the 12 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.AP2020

Review on the stability of the Peregrine and related breathers

Miguel A. Alejo, Luca Fanelli, Claudio Muñoz

In this note, we review stability properties in energy spaces of three important nonlinear Schrödinger breathers: Peregrine, Kuznetsov-Ma, and Akhmediev. More precisely, we show th…

math.AP2020

A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models

Michał Kowalczyk, Yvan Martel, Claudio Muñoz +1

We study stability properties of kinks for the (1+1)-dimensional nonlinear scalar field theory models \begin{equation*} \partial_t^2ϕ-\partial_x^2ϕ+ W'(ϕ) = 0, \quad (t,x)\in\mathb…

math.AP2020

On local energy decay for large solutions of the Zakharov-Kuznetsov equation

Argenis Méndez, Claudio Muñoz, Felipe Poblete +1

We consider the Zakharov-Kutznesov (ZK) equation posed in $R^{d}$ , with $d = 2$ and $3$ . Both equations are globally well-posed in $L^{2} (R^{d})$ . In this paper, we prove l…