18 citations · 24 across the 8 of their papers we have counts for
9 papers
On an critical Boltzmann equation
Thomas Chen, Ryan Denlinger, Nataša Pavlović
We prove the existence of a class of large global scattering solutions of Boltzmann's equation with constant collision kernel in two dimensions. These solutions are found for …
Small data global well-posedness for a Boltzmann equation via bilinear spacetime estimates
Thomas Chen, Ryan Denlinger, Nataša Pavlović
We provide a new analysis of the Boltzmann equation with constant collision kernel in two space dimensions. The scaling-critical Lebesgue space is ; we prove global well…
Moments and Regularity for a Boltzmann Equation via Wigner Transform
Thomas Chen, Ryan Denlinger, Natasa Pavlovic
In this paper, we continue our study of the Boltzmann equation by use of tools originating from the analysis of dispersive equations in quantum dynamics. Specifically, we focus on…
Structure of correlations for the Boltzmann-Grad limit of hard spheres
Ryan Denlinger
We consider a gas of identical hard spheres in the whole space, and we enforce the Boltzmann-Grad scaling. We may suppose that the particles are essentially independent of each…
Observables and Strong One-Sided Chaos in the Boltzmann-Grad Limit
Ryan Denlinger
Boltzmann's equation provides a microscopic model for the evolution of dilute classical gases. A fundamental problem in mathematical physics is to rigorously derive Boltzmann's equ…
Local well-posedness for Boltzmann's equation and the Boltzmann hierarchy via Wigner transform
Thomas Chen, Ryan Denlinger, Nataša Pavlović
We use the dispersive properties of the linear Schrödinger equation to prove local well-posedness results for the Boltzmann equation and the related Boltzmann hierarchy, set in the…
A Fast Summation Method for Oscillatory Lattice Sums
Ryan Denlinger, Zydrunas Gimbutas, Leslie Greengard +1
We present a fast summation method for lattice sums of the type which arise when solving wave scattering problems with periodic boundary conditions. While there are a variety of ef…
Virial estimates for hard spheres
Ryan Denlinger
We review a virial-type estimate which bounds the strength of interaction for a gas of hard spheres (billiard balls) dispersing into Euclidean space . This type o…
The propagation of chaos for a rarefied gas of hard spheres in the whole space
Ryan Denlinger
We discuss old and new results on the mathematical justification of Boltzmann's equation. The classical result along these lines is a theorem which was proven by Lanford in the 197…