78 citations · 439 across the 27 of their papers we have counts for
31 papers
Rigorous derivation of a binary-ternary Boltzmann equation for a dense gas of hard spheres
Ioakeim Ampatzoglou, Natasa Pavlovic
This paper provides the first rigorous derivation of a binary-ternary Boltzmann equation describing the kinetic properties of a dense hard-spheres gas, where particles undergo eith…
Global well-posedness of a binary-ternary Boltzmann equation
Ioakeim Ampatzoglou, Irene M. Gamba, Natasa Pavlovic +1
In this paper we show global well-posedness near vacuum for the binary-ternary Boltzmann equation. The binary-ternary Boltzmann equation provides a correction term to the classical…
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…
Higher order corrections to the mean-field description of the dynamics of interacting bosons
Lea Boßmann, Nataša Pavlović, Peter Pickl +1
In this paper, we introduce a novel method for deriving higher order corrections to the mean-field description of the dynamics of interacting bosons. More precisely, we consider th…
Rigorous derivation of a ternary Boltzmann equation for a classical system of particles
Ioakeim Ampatzoglou, Natasa Pavlovic
In this paper, we present a rigorous derivation of a new kinetic equation describing the limiting behavior of a classical system of particles with three particle elastic instantane…
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…