Liapunov Functionals and Qualitative Behaviour of the Solution to the Non Linear Enskog Equation
作者： N. Bellomo , J. Polewczak , L. Preziosi
DOI: 10.1007/978-1-4615-3032-9_1
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摘要: This paper deals with the analysis of initial value problem for Enskog equation in whole space R 3. In particular dissipativity system is studied by behaviour suitable Liapunov functionals. The related to qualitative study solutions Cauchy problem.
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Leif Arkeryd, On the Boltzmann equation part II: The full initial value problem Archive for Rational Mechanics and Analysis. ,vol. 45, pp. 17- 34 ,(1972) , 10.1007/BF00253393
P. Resibois, H-theorem for the (modified) nonlinear Enskog equation Journal of Statistical Physics. ,vol. 19, pp. 593- 609 ,(1978) , 10.1007/BF01011771
Leif Arkeryd, On the Enskog Equation with Large Initial Data SIAM Journal on Mathematical Analysis. ,vol. 21, pp. 631- 646 ,(1990) , 10.1137/0521033
G. Toscani, N. Bellomo, The Enskog-Boltzmann equation in the whole space R3: Some global existence, uniqueness and stability results Computers & Mathematics With Applications. ,vol. 13, pp. 851- 859 ,(1987) , 10.1016/0898-1221(87)90168-4
Miroslaw Lachowicz, Mario Pulvirenti, A stochastic system of particles modelling the Euler equations Archive for Rational Mechanics and Analysis. ,vol. 109, pp. 81- 93 ,(1990) , 10.1007/BF00377981
Jacek Polewczak, Global existence and asymptotic behavior for the nonlinear Enskog equation Siam Journal on Applied Mathematics. ,vol. 49, pp. 952- 959 ,(1989) , 10.1137/0149056
G. Toscani, H-theorem and asymptotic trend of the solution for a rarefied gas in the vacuum Archive for Rational Mechanics and Analysis. ,vol. 100, pp. 1- 12 ,(1987) , 10.1007/BF00281245
R. J. DiPerna, P. L. Lions, On the Cauchy problem for Boltzmann equations: global existence and weak stability Annals of Mathematics. ,vol. 130, pp. 321- 366 ,(1989) , 10.2307/1971423
H. Van Beijeren, M.H. Ernst, The modified Enskog equation Physica D: Nonlinear Phenomena. ,vol. 68, pp. 437- 456 ,(1973) , 10.1016/0031-8914(73)90372-8
G Toscani, J Polewczak, N Bellomo, M Lachowicz, Mathematical topics in nonlinear kinetic theory II : the Enskog equation ,(1991)