@article{AIHPC_1991__8_3-4_289_0, author = {Esteban, Maria J. and Perthame, Benoit}, title = {On the modified {Enskog} equation for elastic and inelastic collisions. {Models} with spin}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {289--308}, publisher = {Gauthier-Villars}, volume = {8}, number = {3-4}, year = {1991}, mrnumber = {1127928}, zbl = {0850.70141}, language = {en}, url = {http://www.numdam.org/item/AIHPC_1991__8_3-4_289_0/} }
TY - JOUR AU - Esteban, Maria J. AU - Perthame, Benoit TI - On the modified Enskog equation for elastic and inelastic collisions. Models with spin JO - Annales de l'I.H.P. Analyse non linéaire PY - 1991 SP - 289 EP - 308 VL - 8 IS - 3-4 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPC_1991__8_3-4_289_0/ LA - en ID - AIHPC_1991__8_3-4_289_0 ER -
%0 Journal Article %A Esteban, Maria J. %A Perthame, Benoit %T On the modified Enskog equation for elastic and inelastic collisions. Models with spin %J Annales de l'I.H.P. Analyse non linéaire %D 1991 %P 289-308 %V 8 %N 3-4 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPC_1991__8_3-4_289_0/ %G en %F AIHPC_1991__8_3-4_289_0
Esteban, Maria J.; Perthame, Benoit. On the modified Enskog equation for elastic and inelastic collisions. Models with spin. Annales de l'I.H.P. Analyse non linéaire, Tome 8 (1991) no. 3-4, pp. 289-308. http://www.numdam.org/item/AIHPC_1991__8_3-4_289_0/
[1] The Dynamics of Dense Particle Disks, Icarus, Vol. 65, 1986, pp. 83-109.
and ,[2] Loeb Solutions of the Boltzmann Equation, Arch. Rat. Mech. Anal., Vol. 86, 1984, pp. 85-97. | MR | Zbl
,[3] On the Enskog Equation with Large Initial Data, S.I.A.M. J. Math. Anal. | Zbl
,[4] On the Convergence of Solutions of the Enskog Equation to Solutions of the Boltzmann Equation, Comm. in P.D.E., Vol. 14, 1989, pp. 1071-1091. | MR | Zbl
and ,[5] Global Existence in L1 for the Enskog Equation and Convergence of the Solutions to Solutions of the Boltzmann Equation, Preprint. | MR
and ,[6] On the Asymptotic Equivalence Between the Enskog and the Boltzmann Equations, J. Stat. Phys., Vol. 51, 1988, pp. 233-247. | MR | Zbl
and ,[7] Some Mathematical Results on the Asymptotic behavior of the Solutions to the Initial Value Problem for the Enskog Equation, Rapp. int. No. 4, 1989, Dipt. Mat. Politechnico Torino. | MR
and ,[8] On the Asymptotic Theory of the Boltzmann and the Enskog Equations. A Rigorous H-Theorem for the Enskog Equation, Rapp. int., No. 6, 1989, Dipt. Mat. Politechnico Torino.
and ,[9] Small Data Existence for the Enskog Equation in L1, J. Stat Phys., Vol. 51, 1988, pp. 291-297. | MR | Zbl
,[10] Existence of Global Solutions for the Space Inhomogeneous Enskog Equation, Transport theory and Stat. Phys., Vol. 16, 1987, pp. 213-221. | MR | Zbl
,[11] Meccanica dei materiali granulari e teoria cinetica dei gas: una notevole analogia, Atti. Sem. Mat. Fis. Univ. Modena, Vol. XXXVI, 1988.
,[12] The Boltzmann Equation and its Applications, Springer, Berlin, 1988. | MR | Zbl
,[13] On the Cauchy Problem for Boltzmann Equations: Global Existence and Weak Stability, Annals of Math., Vol. 130, 1989, pp. 321-366. | MR | Zbl
and ,[14] Solutions globales d'équations du type Vlasov-Poisson. C. R. Acad. Sci. Paris, T. 307, Série I, 1988, pp. 655-658. | MR | Zbl
and ,[15] Global Existence for the Fokker-Planck-Boltzmann Equations, Comm. Pure Appl. Math., Vol. XI.II, No. 6, 1989, pp. 729-758.
and ,[16] Solutions globales de l'équation d'Enskog modifiée avec collisions élastiques ou inélastiques, C. R. Acad. Sci. Paris, T. 309, Séries I, 1989. | MR | Zbl
and ,[17] Regularity of the Moments of the Solution of a Transport Equation, J. Funct. Anal., Vol. 76, 1, 1988 pp. 110-125. | MR | Zbl
, , and ,[18] Un résultat de régularité pour les équations du transport et application au calcul de la limite de la valeur propre principale d'un opérateur du transport, C. R. Acad. Sci. Paris, T. 301, séries I, 1985, pp. 341-344. | MR | Zbl
, and ,[19] The Velocity Dispersion in Saturn's Rings, Icarus, Vol. 34, 1978, pp. 227-239.
and ,[20] Thermal Velocity Equilibrium in the Protoplanetary Cloud, Icarus, Vol. 63, 1985.
, and ,[21] Physical Kinetics, Pergamon Press, Oxford, 1981.
and ,[22] Global Existence in L1 for the Modified Nonlinear Enskog Equation in R3, J. Stat. Phys., Vol. 56, 1989, pp. 159-173. | MR | Zbl
,[23] Global Existence in L1 for the Generalized Enskog Equation, J. Stat. Phys., Vol. 59, 1990 (to appear). | MR | Zbl
,[24] H-Theorem for the (Modified) Nonlinear Enskog Equation, J. Stat. Phys., Vol. 19, 1978, pp. 593-609. | MR
,[25] The Enskog-Boltzmann Equation in the Whole Space R3: Some Global Existence, Uniqueness and Stability Results, Comm. Math. Phys., Vol. 13, 1987, pp. 851-859. | MR | Zbl
et ,[26] Fundamentals of Maxwell's Kinetic Theory of a Simple Monoatomic Gas, Academic Press, New York 1980.
and ,