Hilbert Expansion from the Boltzmann equation to relativistic Fluids
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Speck_Hilbert expansion.pdf
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862.88 KB
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Author(s)
Speck, Jared R.
Strain, Robert M.
Date Issued
February 2011
Journal
Communications in Mathematical Physics
Publisher
Springer-Verlag
Citation
Speck, Jared, and Robert M. Strain. “Hilbert Expansion from the Boltzmann Equation to Relativistic Fluids.” Communications in Mathematical Physics 304.1 (2011): 229–280.
Version
Author's final manuscript
Abstract
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 Maxwellians. The Maxwellians are 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.
Description
September 25, 2010
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s00220-011-1207-z
