From the Boltzmann equations to the equations of incompressible fluid mechanics, II

P. L. Lions; N. Masmoudi

doi:10.1007/s002050100144

From the Boltzmann equations to the equations of incompressible fluid mechanics, II

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Abstract

We consider here the problem of deriving rigorously from renormalized solutions of Boltzmann's equation, globally in time, for general initial conditions and without any additional assumption, solutions of Stokes' equations (together with the strong Boussinesq relation) . We also obtain similar results for Euler equations where, however, we need to make an assumption on the high velocities of the solutions of Boltzmann's equation.

Original language	English (US)
Pages (from-to)	195-211
Number of pages	17
Journal	Archive for Rational Mechanics and Analysis
Volume	158
Issue number	3
DOIs	https://doi.org/10.1007/s002050100144
State	Published - 2001

ASJC Scopus subject areas

Analysis
Mathematics (miscellaneous)
Mechanical Engineering

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10.1007/s002050100144

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title = "From the Boltzmann equations to the equations of incompressible fluid mechanics, II",

abstract = "We consider here the problem of deriving rigorously from renormalized solutions of Boltzmann's equation, globally in time, for general initial conditions and without any additional assumption, solutions of Stokes' equations (together with the strong Boussinesq relation) . We also obtain similar results for Euler equations where, however, we need to make an assumption on the high velocities of the solutions of Boltzmann's equation.",

author = "Lions, {P. L.} and N. Masmoudi",

year = "2001",

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AB - We consider here the problem of deriving rigorously from renormalized solutions of Boltzmann's equation, globally in time, for general initial conditions and without any additional assumption, solutions of Stokes' equations (together with the strong Boussinesq relation) . We also obtain similar results for Euler equations where, however, we need to make an assumption on the high velocities of the solutions of Boltzmann's equation.

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From the Boltzmann equations to the equations of incompressible fluid mechanics, II

Abstract

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