From the Boltzmann Equation to Hydrodynamic Equations in thin Layers

François Golse

Bollettino dell'Unione Matematica Italiana (2011)

  • Volume: 4, Issue: 2, page 163-186
  • ISSN: 0392-4041

Abstract

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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.

How to cite

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Golse, François. "From the Boltzmann Equation to Hydrodynamic Equations in thin Layers." Bollettino dell'Unione Matematica Italiana 4.2 (2011): 163-186. <http://eudml.org/doc/290752>.

@article{Golse2011,
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.},
author = {Golse, François},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {163-186},
publisher = {Unione Matematica Italiana},
title = {From the Boltzmann Equation to Hydrodynamic Equations in thin Layers},
url = {http://eudml.org/doc/290752},
volume = {4},
year = {2011},
}

TY - JOUR
AU - Golse, François
TI - From the Boltzmann Equation to Hydrodynamic Equations in thin Layers
JO - Bollettino dell'Unione Matematica Italiana
DA - 2011/6//
PB - Unione Matematica Italiana
VL - 4
IS - 2
SP - 163
EP - 186
AB - 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.
LA - eng
UR - http://eudml.org/doc/290752
ER -

References

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