Título: "The limit shape of the critical front profile for vanishing diffusion in Born-Infeld models"

Data: 26/04/2023
Horário: 12:00h
Local: C-116
Palestrante: Maurizio Garrione (Politecnico di Milano)

Resumo: We deal with traveling fronts for reaction-diffusion models where the diffusive term is of relativistic (Born-Infeld) type. We show that, in case the reaction term is monostable, the critical front connecting 0 and 1 sharpens on one side only, near the equilibrium 0. The presence of a convective term may alter this picture, leading to fully sharp or fully regular limit profiles, as will be briefly shown. The technique relies on a careful analysis of the associated first-order reduction.