On the derivation of hydrodynamics from the Boltzmann equation

R. Esposito; J. L. Lebowitz; R. Marra

doi:10.1063/1.870097

On the derivation of hydrodynamics from the Boltzmann equation

R. Esposito, J. L. Lebowitz, R. Marra

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

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 a 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 rigorous results available for stochastic particle systems.

Original language	English (US)
Pages (from-to)	2354-2366
Number of pages	13
Journal	Physics of Fluids
Volume	11
Issue number	8
DOIs	https://doi.org/10.1063/1.870097
State	Published - Aug 1999

All Science Journal Classification (ASJC) codes

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1063/1.870097

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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 a 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 rigorous results available for stochastic particle systems.",

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On the derivation of hydrodynamics from the Boltzmann equation

Abstract

All Science Journal Classification (ASJC) codes

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