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Article Dans Une Revue Bollettino dell'Unione Matematica Italiana Année : 2011

From the Boltzmann equation to hydrodynamic equations in thin layers

Résumé

The present paper discusses an asymptotic theory for the Boltzmann equation leading to either the Prandtl incompressible boundary layer equations, or the incompressible hydrostatic equations. These results are formal, and based on the same moment method used in [C. Bardos, F. Golse, D. Levermore, J. Stat. Phys 63 (1991), pp. 323--344] to derive the incompressible Euler and Navier-Stokes equations from the Boltzmann equation.
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Dates et versions

hal-00505734 , version 1 (26-07-2010)

Identifiants

  • HAL Id : hal-00505734 , version 1

Citer

François Golse. From the Boltzmann equation to hydrodynamic equations in thin layers. Bollettino dell'Unione Matematica Italiana, 2011, 4, pp.163-186. ⟨hal-00505734⟩
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