Aggregation-diffusion equations with non-linear mobility

Seminar, NTNU, Trondheim

David Gómez-Castro

https://gomezcastro.xyz

Universidad Autónoma de Madrid - ICMAT

February 19, 2025

Table of contents

Modelling
Special cases
Numerics
Asymptotic behaviour
Free energy and gradient-flow
Newtonian vortex with
power-type non-linear mobility
Asymptotic concentration with fast diffusion
Non-linear mobility of saturation type

Collaborators

José A. Carrillo and J.L. Vázquez