Entropy production estimates for Boltzmann equations with physically realistic collision kernels

Journal of Statistical Physics

Volumn 74, Issue 3-4, 1994, Pages 743-782

  Carlen, E A ^a   Carvalho, M C ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Boltzman Equations; Entropy production

Indexed keywords

EID: 21344493381     PISSN: 00224715     EISSN: 15729613     Source Type: Journal    
DOI: 10.1007/BF02188578     Document Type: Article

References (39)

1. Intermolecular forces of infinite range and the Boltzmann equation
2. Asymptotic behavior of the Boltzmann equation with infinite range forces
3. L∞ estimates for the space-homogeneous Boltzmann equation
4. Stability in L1 for the spatially homogeneous Boltzmann equation
5. Entropy and the central limit theorem
6. The convolution inequality for entropy powers
7. A proof of the central limit theorem motivated by the Cramer-Rao inequality
8. Sur la solution de l'équation intégrodifférential de Boltzmann
9. Superadditivity of Fisher's information and logarithmic Sobolev inequalities
10. Strict entropy production bounds and stability of the rate of convergence to equilibrium for the Boltzmann equation
11. Entropy production by block variable summation central limit theorems
12. H-theorem and trend to equilibrium in the kinetic theory of gases
13. Informationstheoretische Konvergenenzbegriffe im Raum der Wahrscheinlich-keitsverteilungen
14. Entropy dissipation rate and convergence in kinetic equations
15. Global boundedness of moments of solutions of the Boltzmann equation for forces of infinite range
16. On the H-function and convergence towards equilibrium for a spacehomogeneous molecular density
17. Asymptotic theory of the Boltzmann equation
18. Logarithmic Sobolev inequalities
19. Global Lp properties for the spatially homogeneous Boltzmann equation
20. An information theoretic proof of the central limit theorem with Lindeberg conditions
21. Mathematical methods of studying the Boltzmann equation
22. Speed of approach to equilibrium for Kac's caricature a Maxwellian gas
23. General existence and uniqueness proof for spatially homogeneous solutions of the Maxwell-Boltzmann equation in the case of Maxwellian molecules
24. Analytical studies related to the Maxwell-Boltzmann equation
25. Some inequalities satisfied by the quantities of information of Fisher and Shannon
26. On the pressures and flux of energy in a gas according to Maxwell's kinetic theory, Part II
27. On Boltzmann's equation in the kinetic theory of gases