%0 Journal Article
%T Hilbert Expansion from the Boltzmann equation to relativistic Fluids
%A Jared Speck
%A Robert M. Strain
%J Mathematics
%D 2010
%I arXiv
%R 10.1007/s00220-011-1207-z
%X We study the local-in-time hydrodynamic limit of the relativistic Boltzmann equation using a Hilbert expansion. More specifically, we prove the existence of local solutions to the relativistic Boltzmann equation that are nearby the local relativistic Maxwellian constructed from a class of solutions to the relativistic Euler equations that includes a large subclass of near-constant, non-vacuum fluid states. In particular, for small Knudsen number, these solutions to the relativistic Boltzmann equation have dynamics that are effectively captured by corresponding solutions to the relativistic Euler equations.
%U http://arxiv.org/abs/1009.5033v1