Validity of the Boltzmann equation withan external force

Raffaele Esposito; Yan Guo; Rossana Marra

doi:10.3934/krm.2011.4.499

Article Contents

2011, Volume 4, Issue 2: 499-515. Doi: 10.3934/krm.2011.4.499

This issue Previous Article On Villani's conjecture concerning entropy production for the Kac Master equation Next Article On kinetic flux vector splitting schemes for quantum Euler equations

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
3.
Dipartimento di Fisica and Unità INFN, Università di Roma Tor Vergata, 00133 Roma

Received: November 30, 2010

Published: May 2011

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Abstract

We establish local-in-time validity of the Boltzmann equation in the presence of an external force deriving from a $C^2$ potential.

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Mathematics Subject Classification: Primary: 76P05, 82C40; Secondary: 76A20.

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References

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