2000-05: On the Derivation of Hydrodynamics from the Boltzmann Equation

DIMACS TR: 2000-05

On the Derivation of Hydrodynamics from the Boltzmann Equation

Authors: R. Esposito, J. L. Lebowitz and R. Marra

ABSTRACT
We review the main ideas on the derivation of hydrodynamical equations from microscopic models. The Boltzmann equation, which is a good approximation for the evolution of rare gases, provides an useful tool to test these ideas in mathematically controllable situations such as the Euler and incompressible Navier-Stokes limits, which we describe in some detail. We also discuss the heuristics and some few rigorous results available for stochastic particle systems.

Paper Available at: ftp://dimacs.rutgers.edu/pub/dimacs/TechnicalReports/TechReports/2000/2000-05.ps.gz

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