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Lisbon WADE — Webinar in Analysis and Differential Equations   RSS

Yvan Martel 04/02/2021, 14:00 — 15:00 — Online
, École Polytechnique

On the asymptotic stability of kinks for $(1+1)$-scalar field models

The talk concerns stability properties of kinks for (1+1)-dimensional nonlinear scalar field models of the form \[\partial_t^2 \phi - \partial_x^2 \phi + W'(\phi) = 0 \quad (t,x) \in {\bf \mathbb R}\times {\mathbb R}.\] We establish a simple and explicit sufficient condition on the potential $W$ for the asymptotic stability of a given moving or standing kink. We present applications of the criterion to some models of the Physics literature.

Work in collaboration with Michał Kowalczyk, Claudio Muñoz and Hanne Van Den Bosch.

See also the related work with Michał Kowalczyk and Claudio Muñoz.

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Organizers: Hugo Tavares, James Kennedy and Nicolas Van Goethem

Joint iniciative of the research centers CAMGSD, CMAFcIO and GFM.

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