78 citations · 439 across the 27 of their papers we have counts for
4 papers · 1 filter
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…