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math.AP2021
Asymptotic simplification of Aggregation-Diffusion equations towards the heat kernel
José A. Carrillo, David Gómez-Castro, Yao Yao +1
We give sharp conditions for the large time asymptotic simplification of aggregation-diffusion equations with linear diffusion. As soon as the interaction potential is bounded and…
math.AP2021
Infinite-time concentration in Aggregation--Diffusion equations with a given potential
Jose A. Carrillo, David Gómez-Castro, Juan Luis Vázquez
Typically, aggregation-diffusion is modeled by parabolic equations that combine linear or nonlinear diffusion with a Fokker-Planck convection term. Under very general suitable assu…