5 citations · 9 across the 4 of their papers we have counts for
5 papers
Derivation of the Higher Order Boltzmann Equation for Hard Spheres
Ioakeim Ampatzoglou, Nataša Pavlović, William Warner
In this paper we complete the program initiated by the first and second authors and rigorously derive a Boltzmann-type equation that incorporates higher order collisions among gas…
Inhomogeneous wave kinetic equation and its hierarchy in polynomially weighted spaces
Ioakeim Ampatzoglou, Joseph K. Miller, Nataša Pavlović +1
Inspired by ideas stemming from the analysis of the Boltzmann equation, in this paper we expand well-posedness theory of the spatially inhomogeneous 4-wave kinetic equation, and al…
Energy estimates in sum-product and convexity problems
Akshat Mudgal
We prove a new class of low-energy decompositions which, amongst other consequences, imply that any finite set of integers may be written as , where and a…
A Rigorous Derivation of a Boltzmann System for a Mixture of Hard-Sphere Gases
Ioakeim Ampatzoglou, Joseph K. Miller, Nataša Pavlović
In this paper, we rigorously derive a Boltzmann equation for mixtures from the many body dynamics of two types of hard sphere gases. We prove that the microscopic dynamics of two g…
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…