Title: Existence and regularity results for a non-local transport-diffusion equation.

Speaker: Miguel Yangari (Escuela Politécnica Nacional, Equador)

Data: 21/08/2024

June 21, at 12:00 p.m.  (Rio de Janeiro local time)

Local: IM-UFRJ, CT sala C-116

Abstract: In this talk, we study the existence of global weak solutions of a nonlinear transport-diffusion equation with a fractional derivative in the time variable and under some extra hypotheses, we also study some regularity properties for this type of solutions. In the system considered here, the diffusion operator is given by a fractional Laplacian and the nonlinear drift is assumed to be divergence free and it is assumed to satisfy some general stability and boundedness properties in Lebesgue spaces. Joint work with Luis Chamorro.