77 citations · 114 across the 12 of their papers we have counts for
11 papers · 1 filter
Smoothing effect and uniqueness for aggregation diffusion models
Stefano Lisini, Edoardo Mainini
We consider aggregation-diffusion models for a density of mass in , , where the diffusion can be either linear or of porous medium type, while the aggregation…
Existence and finite speed of propagation of solutions for a multi-dimensional fractional thin-film equation
Nicola De Nitti, Stefano Lisini, Antonio Segatti +1
In this paper, we discuss existence and finite speed of propagation for the solutions to an initial-boundary value problem for a family of fractional thin-film equations in a bound…
Fractional high order thin film equation: gradient flow approach
Stefano Lisini
We prove existence of weak solutions of a fractional thin film type equation in any space dimension and for any order of the equation. The proof is based on a gradient flow techniq…
Mean-field optimal control as Gamma-limit of finite agent controls
Massimo Fornasier, Stefano Lisini, Carlo Orrieri +1
This paper focuses on the role of a government of a large population of interacting agents as a mean field optimal control problem derived from deterministic finite agent dynamics.…
A gradient flow approach to the porous medium equation with fractional pressure
Stefano Lisini, Edoardo Mainini, Antonio Segatti
We consider a family of fractional porous media equations, recently studied by Caffarelli and Vázquez. We show the construction of a weak solution as Wasserstein gradient flow of a…
A hybrid variational principle for the Keller-Segel system in
Adrien Blanchet, José A. Carrillo, David Kinderlehrer +3
We construct weak global in time solutions to the classical Keller-Segel system cell movement by chemotaxis in two dimensions when the total mass is below the well-known critical v…