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

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

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 sim...

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Veröffentlicht in:Archive for rational mechanics and analysis 2001-06, Vol.158 (3), p.195-211
Hauptverfasser: LIONS, P.-L, MASMOUDI, N
Format: Artikel
Sprache:eng
Schlagworte:
Computational methods in fluid dynamics
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Physics
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Zusammenfassung: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.[PUBLICATION ABSTRACT]
ISSN:0003-9527
1432-0673
DOI:10.1007/s002050100144