# Global classical solutions of the Boltzmann equation with long-range interactions.

@article{Gressman2010GlobalCS, title={Global classical solutions of the Boltzmann equation with long-range interactions.}, author={Philip T. Gressman and Robert M. Strain}, journal={Proceedings of the National Academy of Sciences of the United States of America}, year={2010}, volume={107 13}, pages={5744-9} }

- Published 2010 in Proceedings of the National Academy of Sciences…
DOI:10.1073/pnas.1001185107

This is a brief announcement of our recent proof of global existence and rapid decay to equilibrium of classical solutions to the Boltzmann equation without any angular cutoff, that is, for long-range interactions. We consider perturbations of the Maxwellian equilibrium states and include the physical cross-sections arising from an inverse-power intermolecular potential r(-(p-1)) with p > 2, and more generally. We present here a mathematical framework for unique global in time solutions for all… CONTINUE READING

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