On the Mathematical Theory of Fluid Dynamic Limits to Conservation Laws

Athanasios E. Tzavaras ()
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Athanasios E. Tzavaras: University of Wisconsin, Department of Mathematics

A chapter in Advances in Mathematical Fluid Mechanics, 2000, pp 192-222 from Springer

Abstract: Abstract These lectures discuss topics in the theory of hyperbolic systems of conservation laws focusing on the mathematical theory of fluid-dynamic limits. First, we discuss the emergence of the compressible Euler equations for an ideal gas in the fluid-dynamic limit of the Boltzmann equation or of the BGK model. Then we survey the current state of the mathematical theory of fluid-dynamic limits for BGK systems and for discrete velocity models of relaxation type. This is done for the case that the limit is a scalar conservation law or a system of two equations.

Keywords: Boltzmann Equation; Entropy Solution; Fluid Limit; Compressible Euler Equation; Entropy Pair (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-57308-8_6

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DOI: 10.1007/978-3-642-57308-8_6

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