19 Maggio, 2026 15:15
Sezione di Analisi
Gradient flows: from diffusion to Keller-Segel models

Edoardo Mainini, Università di Genova
Aula seminari, terzo piano
Abstract
We discuss the gradient flow approach to aggregation-diffusion models of Keller-Segel type. We prove regularizing effect and sharp hypercontractivity estimates. As a consequence, we deduce several properties such as existence of solutions with measure data, energy dissipation identity, evolution variational inequalities and uniqueness, thus establishing a full parallel with the theory of gradient flows for diffusion models and geodesically convex functionals.