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math.AP2024
Drift-diffusion equations with saturation
José Antonio Carrillo, Alejandro Fernández-Jiménez, David Gómez-Castro
We focus on a family of nonlinear continuity equations for the evolution of a non-negative density with a continuous and compactly supported nonlinear mobility …
math.AP2024
Aggregation-Diffusion Equations for Collective Behaviour in the Sciences
Rafael Bailo, José A. Carrillo, David Gómez-Castro
This is a survey article based on the content of the plenary lecture given by José A. Carrillo at the ICIAM23 conference in Tokyo. It is devoted to produce a snapshot of the state…