Segregation, interaction of species and related free boundary problems

by Susanna Terracini (Università di Torino)

Wednesday 10 Feb 2021, 14:30 → 16:00 Europe/Rome

Competition-diffusion systems with strong interaction terms appear
in many multi-species physical problems as well as in population
dynamics. The qualitative properties of the solutions and their limiting
profiles in different regimes have been at the center of the community's
attention. A prototypical example appears when looking for solitary wave
solutions for Bose-Einstein condensates in different hyperfine states which
overlap in space. If they repel, they eventually separate spatially giving
rise to a free boundary. We intend to focus on the most recent development
of the theory in connection with problems featuring anomalous diffusions,
long-range and non symmetric interactions.

Link per il collegamento: https://meet.google.com/pip-kvzt-fkz