5 citations · 6 across the 7 of their papers we have counts for
9 papers
Singular flows with time-varying weights
Immanuel Ben Porat, José A. Carrillo, Pierre-Emmanuel Jabin
We study the mean field limit for singular dynamics with time evolving weights. Our results are an extension of the work of Serfaty \cite{duerinckx2020mean} and Bresch-Jabin-Wang \…
From Fisher information decay for the Kac model to the Landau-Coulomb hierarchy
José Antonio Carrillo, Shuchen Guo
We consider the Kac model for the space-homogeneous Landau equation with the Coulomb potential. We show that the Fisher information of the Liouville equation for the unmodified …
Propagation of chaos for multi-species moderately interacting particle systems up to Newtonian singularity
José Antonio Carrillo, Shuchen Guo, Alexandra Holzinger
We derive a class of multi-species aggregation-diffusion systems from stochastic interacting particle systems via relative entropy method with quantitative bounds. We show an algeb…
Relative Entropy Method for Particle Approximation of the Landau Equation for Maxwellian Molecules
José Antonio Carrillo, Xuanrui Feng, Shuchen Guo +2
We derive the spatially homogeneous Landau equation for Maxwellian molecules from a natural stochastic interacting particle system. More precisely, we control the relative entropy…
Mean-field derivation of Landau-like equations
José Antonio Carrillo, Shuchen Guo, Pierre-Emmanuel Jabin
We derive a class of space homogeneous Landau-like equations from stochastic interacting particles. Through the use of relative entropy, we obtain quantitative bounds on the distan…
Interacting particle approximation of cross-diffusion systems
Jose Antonio Carrillo, Shuchen Guo
We prove the existence of weak solutions of a class of multi-species cross-diffusion systems as well as the propagation of chaos result by means of nonlocal approximation of the no…
Novel approaches for the reliable and efficient numerical evaluation of Landau-type operators
Jose Antonio Carrillo, Mechthild Thalhammer
Numerical approximations of Landau-type operators represent fundamental components of time integration methods for demanding problems such as inhomogeneous Vlasov-Landau-type equat…
Equivalence of entropy solutions and gradient flows for pressureless 1D Euler systems
José Antonio Carrillo, Sondre Tesdal Galtung
We study distributional solutions of pressureless Euler systems on the line. In particular we show that Lagrangian solutions, introduced by Brenier, Gangbo, Savaré and Westdickenbe…
The graph limit for a pairwise competition model
Immanuel Ben Porat, José A. Carrillo, Pierre-Emmanuel Jabin
This paper is aimed at extending the graph limit with time dependent weights obtained in [1] for the case of a pairwise competition model introduced in [10], in which the equation…