Anomalous diffusion limit for the Knudsen gas

Asymptotic Analysis

Volumn 17, Issue 1, 1998, Pages 1-12

  Golse, François ^a  

^a ECOLE NORMALE SUPÉRIEURE   (France)

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[No Author keywords available]

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EID: 0001756468     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (14)

1. V. Arnold, Geometrical Methods in the Theory of Ordinary Differential Equations, Springer, New York, 1983.
2. H. Babovsky, Limit theorems for deterministic Knudsen flows between two plates, Preprint of the Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, 1995.
3. H. Babovsky, C. Bardos and T. Platkowski, Diffusion approximation for a Knudsen gas in a thin domain with accomodation at the boundary, Asympt. Anal. 3 (1991), 265-289.
4. C. Bardos, L. Dumas and F. Golse, Diffusion approximation for billiards with totally accomodating scatterers, C. R. Acad. Sci. Paris II 315 (1992), 1433-1437; and J. Stat. Phys. 86 (1997), 351-375.
5. C. Bardos, L. Dumas and F. Golse, Diffusion approximation for billiards with totally accomodating scatterers, C. R. Acad. Sci. Paris II 315 (1992), 1433-1437; and J. Stat. Phys. 86 (1997), 351-375.
6. C. Bardos, F. Golse and J.-F. Colonna, Diffusion approximations for hyperbolic automorphisms of the torus, Physica D 104 (1997), 32-60.
7. C. Börgers, C. Greengard and E. Thomann, The diffusion limit of free molecular flow in thin plane channels, SIAM J. Appl. Math. 52 (1992), 1057-1075.
8. L. Bunimovich and Ya. Sinai, Statistical properties of the Lorentz gas with periodic configurations of scatterers, Comm. Math. Phys. 79 (1981), 479-497.
9. H.S. Dumas and F. Golse, On the averaging method for perturbations of mixing flows, Ergodic Theory Dynam. Syst. 17 (1997), 1339-1358.
10. F. Golse, Particle transport in nonhomogeneous media, in: Mathematical Aspects of Fluid and Plasmas Dynamics, G. Toscani, V. Boffi and S. Rionero, eds, Lecture Notes in Math., Vol. 1460, Springer, 1991, pp. 152-169.
11. F. Golse, Moyennisation des champs de vecteurs et EDP, Journées EDP de St Jean de Monts, 1990.
12. F. Golse, Perturbations de systèmes dynamiques et moyennisation en vitesse des EDP, C. R. Acad. Sci. Paris 314 (1992), 115-120.
13. F. Golse, P.-L. Lions, B. Perthame and R. Sentis, Regularity of the moments of the solution of a transport equation, J. Funct. Anal. 76 (1988), 110-125.
14. W. Rudin, Functional Analysis, McGraw-Hill.