Diffusion approximation of a Knudsen gas model: Dependence of the diffusion constant upon the boundary condition

Asymptotic Analysis

Volumn 31, Issue 2, 2002, Pages 93-111

  Boatto, Stefanella ^a   Golse, François ^b  

^a UNIVERSITÉ D EVRY VAL D ESSONNE   (France)

^b ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036702560     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. H. Babovsky, Limit theorems for deterministic Knudsen flows between two plates. Math. Models Methods Appl. Sci. 6 (1996), 503-520.
2. H. Babovsky, C. Bardos and T. Platkowski, Diffusion approximation for a Knudsen gas in a thin domain with accommodation on the boundary, Asymptotic Anal. 3(4) (1991), 265-289.
3. C. Bardos, L. Dumas and F. Golse, Diffusion approximation for billiards with totally accommodating scatters, J. Statist. Phys. 86 (1997), 351-375.
4. C. Bardos, F. Golse and J.-F. Colonna, Diffusion approximation and hyperbolic automorphisms of the torus, Physica D 104 (1997), 32-60.
5. C. Bardos, R. Santos and R. Sentis, Diffusion approximation and computation of the critical size, Trans. Amer. Math. Soc. 284 (1984), 617-649.
6. A. Bensoussan, J.-L. Lions and G. Papanicolaou, Asymptotic Study of Periodic Structures, North-Holland, 1978.
7. R. Dautray and J.-L. Lions, Analyse Mathématique et Calcul Numerique, Vol. 9, Chapter XXI, Masson, 1988.