Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Asymptotic of grazing collisions for the spatially homogeneous Boltzmann equation for soft and Coulomb potentials

Abstract : 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.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [32 references]  Display  Hide  Download

https://hal-upec-upem.archives-ouvertes.fr/hal-00793604
Contributor : David Godinho <>
Submitted on : Friday, February 22, 2013 - 4:02:47 PM
Last modification on : Thursday, March 19, 2020 - 12:26:02 PM
Long-term archiving on: : Sunday, April 2, 2017 - 4:28:50 AM

File

boltzmann_coulomb.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00793604, version 1

Citation

David Godinho. Asymptotic of grazing collisions for the spatially homogeneous Boltzmann equation for soft and Coulomb potentials. 2013. ⟨hal-00793604⟩

Share

Metrics

Record views

194

Files downloads

261