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Journal Articles Bollettino dell'Unione Matematica Italiana Year : 2011

From the Boltzmann equation to hydrodynamic equations in thin layers

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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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Dates and versions

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

Identifiers

  • HAL Id : hal-00505734 , version 1

Cite

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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