81 citations · 84 across the 3 of their papers we have counts for
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Existence and regularity for a system of porous medium equations with small cross-diffusion and nonlocal drifts
Luca Alasio, Maria Bruna, Simone Fagioli +1
We prove existence and Sobolev regularity of solutions of a nonlinear system of degenerate-parabolic PDEs with self- and cross-diffusion, transport/confinement and nonlocal interac…
Coarse graining of a Fokker-Planck equation with excluded volume effects preserving the gradient-flow structure
Maria Bruna, Martin Burger, José Antonio Carrillo
The propagation of gradient flow structures from microscopic to macroscopic models is a topic of high current interest. In this paper we discuss this propagation in a model for the…
The role of a strong confining potential in a nonlinear Fokker-Planck equation
Luca Alasio, Maria Bruna, José Antonio Carrillo
We show that solutions of nonlinear nonlocal Fokker--Planck equations in a bounded domain with no-flux boundary conditions can be approximated by Cauchy problems with increasingly…