# American Institute of Mathematical Sciences

June  2011, 4(2): 499-515. doi: 10.3934/krm.2011.4.499

## Validity of the Boltzmann equation with an external force

 1 Dipartimento di Matematica pura ed Applicata, Università dell’Aquila, Via Vetoio - Coppito, L’Aquila, 67100 2 Division of Applied Mathematics, Brown University, Providence, RI 02812, United States 3 Dipartimento di Fisica and Unità INFN, Università di Roma Tor Vergata, 00133 Roma

Received  December 2010 Published  April 2011

We establish local-in-time validity of the Boltzmann equation in the presence of an external force deriving from a $C^2$ potential.
Citation: Raffaele Esposito, Yan Guo, Rossana Marra. Validity of the Boltzmann equation with an external force. Kinetic & Related Models, 2011, 4 (2) : 499-515. doi: 10.3934/krm.2011.4.499
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