Global classical solutions of the Boltzmann equation without angular cut-off

@article{Gressman2009GlobalCS,
  title={Global classical solutions of the Boltzmann equation without angular cut-off},
  author={P. Gressman and Robert M. Strain},
  journal={Journal of the American Mathematical Society},
  year={2009},
  volume={24},
  pages={771-847}
}
This work proves the global stability of the Boltzmann equation (1872) with the physical collision kernels derived by Maxwell in 1866 for the full range of inverse-power intermolecular potentials, $r^{-(p-1)}$ with $p>2$, for initial perturbations of the Maxwellian equilibrium states, as announced in \cite{gsNonCutA}. We more generally cover collision kernels with parameters $s\in (0,1)$ and $\gamma$ satisfying $\gamma > -n$ in arbitrary dimensions $\mathbb{T}^n \times \mathbb{R}^n$ with $n\ge… Expand
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