5 citations · 6 across the 7 of their papers we have counts for
7 papers
Uniqueness for the spatially homogeneous Boltzmann equation in critical Sobolev spaces
Tianhao Dong, Shuchen Guo, Jie Ji
We study the spatially homogeneous Boltzmann equation without angular cutoff for very soft potentials satisfying the inverse power law relation . Our main results establish…
From Kac particles to the Landau equation with hard potentials: BBGKY hierarchy method
Shuchen Guo
We study the Kac particle model for the space-homogenous Landau equation with hard potentials. By showing a sharper Povzner-type inequality, we obtain the uniform-in-time and unifo…
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…