Equilibrium solution to the inelastic boltzmann equation driven by a particle bath

Marzia Bisi; José A. Carrillo; Bertrand Lods

doi:10.1007/s10955-008-9636-6

Equilibrium solution to the inelastic boltzmann equation driven by a particle bath

Marzia Bisi, José A. Carrillo, Bertrand Lods

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

12 Citations (Scopus)

Abstract

We show the existence of smooth stationary solutions for the inelastic Boltzmann equation under the thermalization induced by a host medium with a fixed distribution. This is achieved by controlling the L p -norms, the moments and the regularity of the solutions to the Cauchy problem together with arguments related to a dynamical proof for the existence of stationary states. © 2008 Springer Science+Business Media, LLC.

Original language	English
Pages (from-to)	841-870
Journal	Journal of Statistical Physics
Volume	133
Issue number	5
DOIs	https://doi.org/10.1007/s10955-008-9636-6
Publication status	Published - 1 Dec 2008

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title = "Equilibrium solution to the inelastic boltzmann equation driven by a particle bath",

abstract = "We show the existence of smooth stationary solutions for the inelastic Boltzmann equation under the thermalization induced by a host medium with a fixed distribution. This is achieved by controlling the L p -norms, the moments and the regularity of the solutions to the Cauchy problem together with arguments related to a dynamical proof for the existence of stationary states. {\textcopyright} 2008 Springer Science+Business Media, LLC.",

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AU - Bisi, Marzia

AU - Carrillo, José A.

AU - Lods, Bertrand

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Y1 - 2008/12/1

N2 - We show the existence of smooth stationary solutions for the inelastic Boltzmann equation under the thermalization induced by a host medium with a fixed distribution. This is achieved by controlling the L p -norms, the moments and the regularity of the solutions to the Cauchy problem together with arguments related to a dynamical proof for the existence of stationary states. © 2008 Springer Science+Business Media, LLC.

AB - We show the existence of smooth stationary solutions for the inelastic Boltzmann equation under the thermalization induced by a host medium with a fixed distribution. This is achieved by controlling the L p -norms, the moments and the regularity of the solutions to the Cauchy problem together with arguments related to a dynamical proof for the existence of stationary states. © 2008 Springer Science+Business Media, LLC.

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DO - 10.1007/s10955-008-9636-6

M3 - Article

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SP - 841

EP - 870

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 5

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