77 citations · 114 across the 12 of their papers we have counts for
3 papers · 2 filters
Uniqueness for Keller-Segel-type chemotaxis models
J. A. Carrillo, S. Lisini, E. Mainini
We prove uniqueness in the class of integrable and bounded nonnegative solutions in the energy sense to the Keller-Segel (KS) chemotaxis system. Our proof works for the fully parab…
Gradient flows for non-smooth interaction potentials
José Antonio Carrillo, Stefano Lisini, Edoardo Mainini
We deal with a nonlocal interaction equation describing the evolution of a particle density under the effect of a general symmetric pairwise interaction potential, not necessarily…
Cahn-Hilliard and Thin Film equations with nonlinear mobility as gradient flows in weighted-Wasserstein metrics
Stefano Lisini, Daniel Matthes, Giuseppe Savaré
In this paper, we establish a novel approach to proving existence of non-negative weak solutions for degenerate parabolic equations of fourth order, like the Cahn-Hilliard and cert…