6 papers
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 Westdickenb…
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…
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…