Asymptotic of grazing collisions for the spatially homogeneous Boltzmann equation for soft and Coulomb potentials
type: Dataset
description: We give an explicit bound for the Wasserstein distance with quadratic cost between the solutions of Boltzmann's and Landau's equations in the case of soft and Coulomb potentials. This gives an explicit rate of convergence for the grazing collisions limit. Our result is local in time for very soft and Coulomb potentials and global in time for moderately soft potentials.
issued: 2026-05-14T05:24:44.971104
language: en
modified: 2026-05-14T05:24:44.971109
contact point: Organization
  fn: CCSD
keyword: boltzmann-equation
keyword: grazing-collisions
keyword: infoeu-reposemanticspreprint
keyword: kinetic-theory
keyword: landau-equation
keyword: mathematics-subject-classification-2000-82c40-60k35
keyword: mathmath-mpmathematics-mathmathematical-physics-math-ph
keyword: mathmath-prmathematics-mathprobability-mathpr
keyword: preprints-working-papers-
landing page: https://hal.science/hal-00793604

Asymptotic of grazing collisions for the spatially homogeneous Boltzmann equation for soft and Coulomb potentials
type: Distribution
format: HTML
issued: 2026-05-14T05:24:44.995803
modified: 2026-05-14T05:24:44.949339
access URL: https://hal.science/hal-00793604

test_moissonnage_selune
type: Agent