From the Boltzmann equation to hydrodynamic equations in thin layers

Abstract : 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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Submitted on : Monday, July 26, 2010 - 2:01:02 AM
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  • HAL Id : hal-00505734, version 1

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

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