Hilbert Expansion from the Boltzmann Equation to Relativistic Fluids

被引：0
作者：
Jared Speck
Robert M. Strain
机构：
[1] University of Cambridge,Department of Pure Mathematics & Mathematical Statistics
[2] University of Pennsylvania,Department of Mathematics
来源：
Communications in Mathematical Physics | 2011年 / 304卷
关键词：
Boltzmann Equation; Local Existence; Collision Operator; Hydrodynamic Limit; Macroscopic Quantity;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：229 / 280
页数：51
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