Mathematical Physics and Harmonic Analysis Seminar

Date: September 11, 2020

Time: 1:50PM - 2:50PM

Location: Zoom

Speaker: Claudio Munoz, CNRS/Universidad de Chile

Title: Sufficient condition for the asymptotic stability of kinks in general 1+1 dimensional scalar field models

Abstract: In this talk, I shall discuss some new results concerning the orbital and asymptotic stability of kinks for general (1+1)-dimensional scalar field models of the form $\partial_t^2\phi -\partial_x^2\phi + W'(\phi) = 0$. The goal is to exhibit a simple and general sufficient condition on the potential $W$ for asymptotic stability, without assuming any symmetry property for the potential nor for the kink. This is joint work with M. Kowalczyk, Y. Martel, and H. Van Den Bosch, and can be found at arXiv:2008:01276