Sesión Ecuaciones Diferenciales y Probabilidad

Diciembre 14, 11:20 ~ 11:40

Dynamical behaviour of several problems with heterogeneities

Alvarez Caudevilla, Pablo

Considering several models of population dynamics we shall show their different dynamical behaviour depending on the spatial or spatio-temporal heterogeneities. A crucial issue in getting such a dynamical behaviour will be the asymptotic analysis of the linear associated problem when a parameter that multiplies a potential goes to infinity. The geometrical distribution where this potential vanishes is related to the heterogeneous character of the nonlinear problem and will allow us to prove the existence and uniqueness of solutions as well as its long time behaviour

Autores: Alvarez Caudevilla, Pablo.