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Statistical moments and integrability properties of monatomic gas mixtures with long range interactions

Analysis of PDEs 2022-04-21 v1

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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Cite

@article{arxiv.2204.09160,
  title  = {Statistical moments and integrability properties of monatomic gas mixtures with long range interactions},
  author = {Ricardo Alonso and Hajer Orf},
  journal= {arXiv preprint arXiv:2204.09160},
  year   = {2022}
}

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43 pages