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 |
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| creator | LIONS, P.-L MASMOUDI, N |
| description | 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] |
| doi_str_mv | 10.1007/s002050100144 |
| format | Article |
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| language | eng |
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| source | SpringerNature Journals |
| subjects | Computational methods in fluid dynamics Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) Physics |
| title | From the Boltzmann equations to the equations of incompressible fluid mechanics, II |
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