Large-Time Decay of the Soft Potential relativistic Boltzmann equation in $\R^3_x$

Details Large-Time Decay of the Soft Potential relativistic Boltzmann equation in $\R^3_x$ Large-Time Decay of the Soft Potential relativistic Boltzmann equation in $\R^3_x$

2011-06-08

arxiv.org/abs/1106.1579v1

Mathematics

Analysis of PDEs

34 pages

Scientific paper

For the relativistic Boltzmann equation in $\R^3_x$, 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 by
Dudy{\'n}ski and Ekiel-Je{\.z}ewska.

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