The Boltzmann equation without angular cutoff in the whole space: III, Qualitative properties of solutions
Analysis of PDEs
2015-05-19 v2
Abstract
This is a continuation of our series of works for the inhomogeneous Boltzmann equation. We study qualitative properties of classical solutions, precisely, the full regularization in all variables, uniqueness, non-negativity and convergence rate to the equilibrium. Together with the results of Parts I and II about the well posedness of the Cauchy problem around Maxwellian, we conclude this series with a satisfactory mathematical theory for Boltzmann equation without angular cutoff.
Keywords
Cite
@article{arxiv.1008.3442,
title = {The Boltzmann equation without angular cutoff in the whole space: III, Qualitative properties of solutions},
author = {Radjesvarane Alexandre and Yoshinori Morimoto and Seiji Ukai and Chao-Jiang Xu and Tong Yang},
journal= {arXiv preprint arXiv:1008.3442},
year = {2015}
}