References
- Kogan , M. N. 1969 . Rarefied Gas Dynamics , New York : Plenum Press .
- Gatignol , R. 1975 . Théorie Cinétique des Gaz a Répartition Discrète de Vitesses , Berlin, New York : Springer-Verlag .
- Gatignol , R. 1977 . Phys. Fluids , 20 : 2022
- Preziosi , L. and Longo , E. 1991 . “ Discrete Models of Fluid Dynamics ” . In Series on Advances in Mathematics for Applied Sciences , Edited by: Alves , A. 144 London, , Singapore : World Scientific .
- Kawashima , S. 1988 . Equationes aux Derivees Partielle, Centre Math. , Vol. III-1–6 , Palaiseau : Ecole Politecnique .
- Kawashima , S. 1991 . Global existence and asymptotic behaviour of solutions to the mixed problem for the discrete Boltzmann equation . Internal Report ,
- Pulvirenti , A. Global solutions to the initial-boundary value problem for the discrete Boltzmann equation . Transp. Theory Statist. Phys. , to appear
- Brźezniak , J. , Flandoli , F. and Preziosi , L. On the discrete Boltzmann equation with multiple collisions . Stability and Appl. Anal. , to appear
- Monaco , R. and Preziosi , L. 1991 . Fluid Dynamic Applications of the Discrete Boltzmann Equation , London, , Singapore : World Scientific .
- Platkowski , T. and Illner , R. 1988 . SIAM Review , 30 : 213
- Bellomo , N. and Gustafsson , T. 1991 . Review Math. Phys. , 3
- Bellomo , N. and Kawashima , S. 1990 . J. Math. Phys. , 31 : 245
- Gatignol , R. and Coulouvrat , F. 1988 . Comp. Rend. Acad. Sci. Paris, I , 306 : 169
- Coulouvrat , F. and Gatignol , R. 1988 . Comp. Rend. Acad. Sci. Paris, I , 306 : 393
- Chauvat , P. and Gatignol , R. 1991 . “ Discrete Models of Fluid Dynamics ” . In Series on Advances in Mathematics for Applied Sciences , Edited by: Alves , A. 1 London, , Singapore : World Scientific .
- Shizuta , Y. and Kawashima , S. 1985 . Hokkaido Math. J. , 14 : 249
- Shizuta , Y. and Kawashima , S. 1985 . Proc. J. Acad., Ser. A , 61 : 252
- Shizuta , Y. and Kawashima , S. 1987 . J. Math. , Vol. 27 , 131 Kyoto Univ. .
- Lachowicz , M. and Monaco , R. 1989 . SIAM J. Appl. Math. , 49 : 1231
- Chapman , S. and Cowling , T. G. 1970 . The Mathematical Theory of NonUniform Gases , Cambridge : Cambridge University Press .
- Cercignani , C. 1975 . Theory and Applications of the Boltzmann Equation , Edinburgh, London : Scottish Academic Press .
- Welander , P. 1954 . Ark. Fys. , 7 : 507
- Gross , E. P. and Ziering , S. 1959 . Phys. Fluids , 2 : 701
- Bassanini , P. , Cercignani , C. and Pagani , C. D. 1967 . Int. J. Heat Mass Transfer , 10 : 447
- Loyalka , S. K. and Ferziger , J. H. 1668 . Phys. Fluids , 11
- Sone , Y. , Ohwada , T. and Aoki , K. 1989 . Phys. Fluids A , 1 : 363