Large-time decay of the soft potential relativistic Boltzmann equation in $\mathbb{R}^3_x$

Pages: 383 - 415, Volume 5, Issue 2, June 2012

doi:10.3934/krm.2012.5.383       Abstract        References        Full Text (583.6K)       Related Articles

Robert M. Strain - University of Pennsylvania, Department of Mathematics, David Rittenhouse Lab, 209 South 33rd Street, Philadelphia, PA 19104, United States (email)
Keya Zhu - University of Pennsylvania, Department of Mathematics, David RittenhouseLab, 209 South 33rd Street, Philadelphia, PA 19104-6395, United States (email)

Abstract: For the relativistic Boltzmann equation in $\mathbb{R}^3_x$, this work proves the global existence, uniqueness, positivity, and optimal time convergence rates to the relativistic Maxwellian for solutions which start out sufficiently close under the general physical soft potential assumption proposed in 1988 [13].

Keywords:  Relativity, Boltzmann, relativistic Maxwellian, stability, whole space, collisional kinetic theory, kinetic theory.
Mathematics Subject Classification:  Primary: 76P05; Secondary: 83A05.

Received: December 2011;      Revised: February 2012;      Published: April 2012.

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