Statistical moments and integrability properties of monatomic gas mixtures with long range interactions
Ricardo Alonso, Hajer Orf
TL;DR
This paper investigates the statistical moments and integrability properties of solutions to the homogeneous Boltzmann equation for monatomic gas mixtures with long-range interactions, providing conditions for moment generation and propagation.
Contribution
It offers new a priori estimates for moments and integrability in Lebesgue spaces, specifically for systems with long-range interactions and hard potentials.
Findings
Conditions for polynomial and exponential moment generation
Propagation of moments over time
Integrability in Lebesgue spaces for solutions
Abstract
This document presents a priori estimates related to statistical moments and integrability properties for solutions of systems of monatomic gas mixtures modelled with the homogeneous Boltzmann equation with long range interactions for hard potentials. We detail the conditions for the generation and propagation of polynomial and exponential moments, and the integrability in Lebesgue spaces.
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Taxonomy
TopicsStatistical Mechanics and Entropy · Gas Dynamics and Kinetic Theory · Quantum, superfluid, helium dynamics