Skeleton for the one-dimensional aggregation equation

📅 jueves 9 de abril — 12:00 📍 Aula A22, Facultad de Ciencias 👤Conferenciante: Juan Carlos Cantero (Universitat Autònoma de Barcelona) 📖 Título: Skeleton for the one-dimensional aggregation equation 📄 Resumen: For the aggregation equation in $\mathbb{R}$, we consider the evolution of an initial density corresponding to the characteristic function of some set $\Omega_0$. We study the limit measure at the blow up time 1 in the cases $\Omega_0$ is open or compact and we inspect the limit set (skeleton) where this measure is supported. This is a toy model for the general problem in arbitrary dimension. We also review some advances in the two-dimensional case. This is a joint work with Joan Orobitg (UAB).