316 citations · 1.1k across the 44 of their papers we have counts for
4 papers · 2 filters
Measure solutions for some models in population dynamics
José A. Cañizo, José A. Carrillo, Sílvia Cuadrado
We give a direct proof of well-posedness of solutions to general selection-mutation and structured population models with measures as initial data. This is motivated by the fact th…
Uniqueness in the weakly inelastic regime of the equilibrium state of the inelastic Boltzmann equation driven by a particle bath
Marzia Bisi, José Alfredo Cañizo, Bertrand Lods
We consider the spatially homogeneous Boltzmann equation for inelastic hard-spheres (with constant restitution coefficient ) under the thermalization induced by a host…
Decay rates for a class of diffusive-dominated interaction equations
José A. Cañizo, José A. Carrillo, Maria E. Schonbek
We analyse qualitative properties of the solutions to a mean-field equation for particles interacting through a pairwise potential while diffusing by Brownian motion. Interaction a…
Rate of convergence to self-similarity for the fragmentation equation in L^1 spaces
María J. Cáceres, José A. Cañizo, Stéphane Mischler
In a recent result by the authors (ref. [1]) it was proved that solutions of the self-similar fragmentation equation converge to equilibrium exponentially fast. This was done by sh…