4 papers · 1 filter
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 …
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…