17 citations · 23 across the 6 of their papers we have counts for
6 papers
Nonlocal particle approximation for linear and fast diffusion equations
José Antonio Carrillo, Antonio Esposito, Jakub Skrzeczkowski +1
We construct deterministic particle solutions for linear and fast diffusion equations using a nonlocal approximation. We exploit the -Wasserstein gradient flow structure of the…
Nonlocal approximation of nonlinear diffusion equations
José Antonio Carrillo, Antonio Esposito, Jeremy Sheung-Him Wu
We show that degenerate nonlinear diffusion equations can be asymptotically obtained as a limit from a class of nonlocal partial differential equations. The nonlocal equations are…
Convergence of a particle method for a regularized spatially homogeneous Landau equation
José A. Carrillo, Matias G. Delgadino, Jeremy S. H. Wu
We study a regularized version of the Landau equation, which was recently introduced in~\cite{CHWW20} to numerically approximate the Landau equation with good accuracy at reasonabl…
Boltzmann to Landau from the Gradient Flow Perspective
José Carrillo, Matias Delgadino, Jeremy Wu
We revisit the grazing collision limit connecting the Boltzmann equation to the Landau(-Fokker-Planck) equation from their recent reinterpretations as gradient flows. Our results a…
The Landau equation as a Gradient Flow
José A. Carrillo, Matias G. Delgadino, Laurent Desvillettes +1
We propose a gradient flow perspective to the spatially homogeneous Landau equation for soft potentials. We construct a tailored metric on the space of probability measures based o…
A particle method for the homogeneous Landau equation
Jose A. Carrillo, Jingwei Hu, Li Wang +1
We propose a novel deterministic particle method to numerically approximate the Landau equation for plasmas. Based on a new variational formulation in terms of gradient flows of th…