Strongly interacting kink-antikink pairs for scalar fields on a line



I will present a recent joint work with Michał Kowalczyk and Andrew Lawrie. A nonlinear wave equation with a double-well potential in 1+1 dimension admits stationary solutions called kinks and antikinks, which are minimal energy solutions connecting the two minima of the potential. We study solutions whose energy is equal to twice the energy of a kink, which is the threshold energy for a formation of a kink-antikink pair. We prove that, up to translations in space and time, there is exactly one kink-antikink pair having this threshold energy. I will explain the main ingredients of the proof.

Date: Nov 20, 2019 at 15:00:00 h
Date of closure: Nov 20, 2019
Venue: Beauchef 851, Torre Norte, 5to Piso, Sala de Seminario Felipe Álvarez Daziano.
Speaker: Jacek Jendrej
Affiliation: LAGA, Université Paris 13
Coordinator: Matteo Rizzi
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Posted on Nov 18, 2019 in Differential Equations, Seminars