Event Details


Speaker: David Gómez Castro (Universidad Complutense de Madrid)

Abstract: The theory of viscosity solutions was developed to deal with Hamilton-Jacobi type problems in the late 80s and 90s by Crandall, Lions, and others. The surname "viscosity" comes from their construction through the vanishing viscosity method. In many scenearios have well-posedness and select the physical solution in many settings. Furthermore, their stability properties makes them suitable to study different approximations: finite differences and asymptotic limits as $t \to \infty$. The aim of this talk is to introduce this notion of solution and show its usefulness to study the time limit of Aggregation-Diffusion equations. The talk presents joint work with: J.A. Carrillo, A. Fernández-Jiménez, and J.L. Vázquez