316 citations · 1.1k across the 44 of their papers we have counts for
46 papers
Self-similarity and diffusive limits for linear kinetic equations: a Wild sum approach
José A. Cañizo, Stéphane Mischler, Niccolò Tassi
We prove that linear collisional kinetic equations in the whole space without confinement mechanism display a long-time self-similar behaviour. This drastically improves the recent…
Sharp asymptotic behaviour of symmetric and non-symmetric solutions of the Heat Equation in the Hyperbolic Space
José Alfredo Cañizo, Alejandro Gárriz, Diego Alfonso Marín
In this work we study the large-time behaviour of solutions of the Heat Equation in the hyperbolic space , providing precise speeds of convergence in and $L^\in…
On the local stability of the elapsed-time model in terms of the transmission delay and interconnection strength
María J. Cáceres, José A Cañizo, Nicolas Torres
The elapsed-time model describes the behavior of interconnected neurons through the time since their last spike. It is an age-structured non-linear equation in which age correspond…
Large-time estimates for the Dirichlet heat equation in exterior domains
José A. Cañizo, Alejandro Gárriz, Fernando Quirós
We give large-time asymptotic estimates, both in uniform and norms, for solutions of the Dirichlet heat equation in the complement of a bounded open set of sat…
Comparison principles and asymptotic behavior of delayed age-structured neuron models
María J Cáceres, José A Cañizo, Nicolas Torres
In the context of neuroscience the elapsed-time model is an age-structured equation that describes the behavior of interconnected spiking neurons through the time since the last di…
One-dimensional inelastic Boltzmann equation: Stability and uniqueness of self-similar -profiles for moderately hard potentials
R. Alonso, V. Bagland, J. A. Cañizo +2
We prove the stability of self-similar profiles under the hard-to-Maxwell potential limit for the one-dimensional inelastic Boltzmann equation with moderately hard potentia…