Entropy dissipation estimates for the Boltzmann equation without cut-off

Jamil Chaker; Luis Silvestre

Entropy dissipation estimates for the Boltzmann equation without cut-off

Analysis of PDEs 2022-12-20 v2

Authors: Jamil Chaker , Luis Silvestre

Abstract

We prove a bound on the entropy dissipation for the Boltzmann collision operator from below by a weighted $L^p$ -Norm. The estimate holds for a wide range of potentials including soft potentials as well as very soft potentials. As an application, we study weak solutions to the spatially homogeneous Boltzmann equation and prove a weighted $L^1_t(L^p_v)$ estimate.

Keywords

boltzmann equation lp spaces and inequalities operator theory and elliptic operators

Cite

@article{arxiv.2208.03546,
  title  = {Entropy dissipation estimates for the Boltzmann equation without cut-off},
  author = {Jamil Chaker and Luis Silvestre},
  journal= {arXiv preprint arXiv:2208.03546},
  year   = {2022}
}

Related papers

View all related →