Abstract for the talk on 23.04.2020 (15:15 h)

Oberseminar ANALYSIS

Jacek Jendrej (CNRS, Paris 13)
Strongly interacting kink-antikink pairs for scalar fields in dimension 1+1

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. Joint work with Michał Kowalczyk and Andrew Lawrie.

One day before the seminar, an announcement with the link will be sent to the mailing list of the groups of Prof. Otto and Gess. If you are not on the mailing list, but still want to join the broadcast, please contact Katja Heid.


25.04.2020, 02:30