-
2
-
-
0002262781
-
-
Preprint
-
2. Arnold, A., Markowich, P., Toscani, G. and Unterreiter, A.: On logarithmic Sobolev inequalities, Csiszar-Kullback inequalities, and the rate of convergence to equilibrium for Fokker-Planck type equations. Preprint, 1997
-
(1997)
On Logarithmic Sobolev Inequalities, Csiszar-Kullback Inequalities, and the Rate of Convergence to Equilibrium for Fokker-Planck Type Equations
-
-
Arnold, A.1
Markowich, P.2
Toscani, G.3
Unterreiter, A.4
-
3
-
-
0000224209
-
1 for the spatially homogeneous Boltzmann equation
-
1 for the spatially homogeneous Boltzmann equation. Arch. Rat. Mech. Anal. 103 (2), 151-167 (1988)
-
(1988)
Arch. Rat. Mech. Anal.
, vol.103
, Issue.2
, pp. 151-167
-
-
Arkeryd, L.1
-
4
-
-
0001119849
-
Diffusions hypercontractives
-
4. Barky, D. and Emery, M.: Diffusions hypercontractives. (in French) Lect. Notes Math. 1123, Sém. XIX: 177-206, 1985
-
(1985)
Lect. Notes Math.
, vol.1123
, Issue.19
, pp. 177-206
-
-
Barky, D.1
Emery, M.2
-
5
-
-
0000411415
-
The theory of the nonlinear, spatially uniform Boltzmann equation for Maxwellian molecules
-
5. Bobylev, A.V.: The theory of the nonlinear, spatially uniform Boltzmann equation for Maxwellian molecules. Sov. Sci. Rev. C. Math. Phys. 7, 111-233 (1988)
-
(1988)
Sov. Sci. Rev. C. Math. Phys.
, vol.7
, pp. 111-233
-
-
Bobylev, A.V.1
-
6
-
-
0033074299
-
On the rate of entropy production for the Boltzmann equation
-
6. Bobylev, A.V. and Cercignani, C.: On the rate of entropy production for the Boltzmann equation. J. Stat. Phys. 94, 603-618 (1999)
-
(1999)
J. Stat. Phys.
, vol.94
, pp. 603-618
-
-
Bobylev, A.V.1
Cercignani, C.2
-
8
-
-
0000273265
-
Superadditivity of Fisher's information and logarithmic Sobolev inequalities
-
8. Carlen, E.: Superadditivity of Fisher's information and logarithmic Sobolev inequalities. J. Funct. Anal. 101 (1), 194-211 (1991)
-
(1991)
J. Funct. Anal.
, vol.101
, Issue.1
, pp. 194-211
-
-
Carlen, E.1
-
9
-
-
0002356751
-
Strict entropy production bounds and stability of the rate of convergence to equilibrium for the Boltzmann equation
-
9. Carlen, E. and Carvalho, M.: Strict entropy production bounds and stability of the rate of convergence to equilibrium for the Boltzmann equation. J. Stat. Phys. 67 (3-4), 575-608 (1992)
-
(1992)
J. Stat. Phys.
, vol.67
, Issue.3-4
, pp. 575-608
-
-
Carlen, E.1
Carvalho, M.2
-
10
-
-
21344493381
-
Entropy production estimates for Boltzmann equations with physically realistic collision kernels
-
10. Carlen, E. and Carvalho, M.: Entropy production estimates for Boltzmann equations with physically realistic collision kernels. J. Stat. Phys. 74 (3-4), 743-782 (1994)
-
(1994)
J. Stat. Phys.
, vol.74
, Issue.3-4
, pp. 743-782
-
-
Carlen, E.1
Carvalho, M.2
-
11
-
-
0008977325
-
-
Preprint
-
11. Carlen, E., Esposito, R., Lebowitz, J.L., Marra, R. and Rokhlenko, A. Kinetics of a model weakly ionized plasma in the presence of multiple equilibria, Preprint, 1996
-
(1996)
Kinetics of a Model Weakly Ionized Plasma in the Presence of Multiple Equilibria
-
-
Carlen, E.1
Esposito, R.2
Lebowitz, J.L.3
Marra, R.4
Rokhlenko, A.5
-
12
-
-
0033249563
-
Propagation of smoothness in velocities and strong exponential convergence for maxwellian molecules
-
12. Carlen, E., Gabetta, E. and Toscani, G.: Propagation of smoothness in velocities and strong exponential convergence for maxwellian molecules. Commun. Math. Phys. 199, 521-546 (1999)
-
(1999)
Commun. Math. Phys.
, vol.199
, pp. 521-546
-
-
Carlen, E.1
Gabetta, E.2
Toscani, G.3
-
13
-
-
0000860574
-
Entropy production by block variable summation and central limit theorems
-
13. Carlen, E. and Soffer, A.: Entropy production by block variable summation and central limit theorems. Commun. Math. Phys. 140, 339-371 (1991)
-
(1991)
Commun. Math. Phys.
, vol.140
, pp. 339-371
-
-
Carlen, E.1
Soffer, A.2
-
14
-
-
0032165708
-
Exponential convergence toward equilibrium for homogeneous Fokker-Planck-type equations
-
14. Carrillo, J.A. and Toscani, G.: Exponential convergence toward equilibrium for homogeneous Fokker-Planck-type equations. Math. Mod. Meth. Appl. Sci. 21, 1269-1286 (1998)
-
(1998)
Math. Mod. Meth. Appl. Sci.
, vol.21
, pp. 1269-1286
-
-
Carrillo, J.A.1
Toscani, G.2
-
15
-
-
0001524598
-
H-theorem and trend to equilibrium in the kinetic theory of gases
-
15. Cercignani, C.: H-theorem and trend to equilibrium in the kinetic theory of gases. Arch. Mech. 34, 231-241 (1982)
-
(1982)
Arch. Mech.
, vol.34
, pp. 231-241
-
-
Cercignani, C.1
-
18
-
-
0000489740
-
Information-type measures of difference of probability distributions and indirect observations
-
18. Csiszar, I.: Information-type measures of difference of probability distributions and indirect observations. Stud. Sci. Math. Hung. 2, 299-318 (1967)
-
(1967)
Stud. Sci. Math. Hung.
, vol.2
, pp. 299-318
-
-
Csiszar, I.1
-
19
-
-
0001035667
-
Entropy dissipation rate and convergence in kinetic equations
-
19. Desvillettes, L.: Entropy dissipation rate and convergence in kinetic equations. Commun. Math. Phys. 123 (4), 687-702 (1989)
-
(1989)
Commun. Math. Phys.
, vol.123
, Issue.4
, pp. 687-702
-
-
Desvillettes, L.1
-
20
-
-
0008978424
-
On the spatially homogeneous Landau equation for hard potentials. Part I: Existence, uniqueness and smoothness
-
To appear in
-
20. Desvillettes, L. and Villani, C.: On the spatially homogeneous Landau equation for hard potentials. Part I: Existence, uniqueness and smoothness. To appear in Comm. P.D.E.
-
Comm. P.D.E.
-
-
Desvillettes, L.1
Villani, C.2
-
21
-
-
0009059663
-
On the spatially homogeneous Landau equation for hard potentials. Part Ii: H-theorem and applications
-
To appear in
-
21. Desvillettes, L. and Villani, C.: On the spatially homogeneous Landau equation for hard potentials. Part II: H-theorem and applications. To appear in Comm. P.D.E.
-
Comm. P.D.E.
-
-
Desvillettes, L.1
Villani, C.2
-
22
-
-
84980178612
-
Asymptotic evaluation of certain Markov process expectations for large time, I
-
22. Donsker, M.D. and Varadhan, S.R.S.: Asymptotic evaluation of certain Markov process expectations for large time, I. Comm. Pure Appl. Math. 28, 1-47 (1975)
-
(1975)
Comm. Pure Appl. Math.
, vol.28
, pp. 1-47
-
-
Donsker, M.D.1
Varadhan, S.R.S.2
-
23
-
-
21844481532
-
On a conjecture of McKean with application to Kac's model
-
23. Gabetta, E.: On a conjecture of McKean with application to Kac's model. Transp. Theo. Statis. Phys. 24, 305-318 (1995)
-
(1995)
Transp. Theo. Statis. Phys.
, vol.24
, pp. 305-318
-
-
Gabetta, E.1
-
24
-
-
0008977891
-
On entropy production rates for some kinetic equations
-
24. Gabetta, E. and Toscani, G.: On entropy production rates for some kinetic equations. Bull. Tech. Univ. Istanbul 47, 219-230 (1994)
-
(1994)
Bull. Tech. Univ. Istanbul
, vol.47
, pp. 219-230
-
-
Gabetta, E.1
Toscani, G.2
-
25
-
-
0002916154
-
About the non cut-off Kac equation: Uniqueness and asymptotic behaviour
-
25. Gabetta, E. and Pareschi, L.: About the non cut-off Kac equation: uniqueness and asymptotic behaviour. Comm. Appl. Nonlinear Anal. 4, 1-20 (1997)
-
(1997)
Comm. Appl. Nonlinear Anal.
, vol.4
, pp. 1-20
-
-
Gabetta, E.1
Pareschi, L.2
-
26
-
-
21844510511
-
Metrics for probability distributions and the trend to equilibrium for solutions of the Boltzmann equation
-
26. Gabetta, E., Toscani, G. and Wennberg, B.: Metrics for probability distributions and the trend to equilibrium for solutions of the Boltzmann equation, J. Stat. Phys. 81, 901-934 (1995)
-
(1995)
J. Stat. Phys.
, vol.81
, pp. 901-934
-
-
Gabetta, E.1
Toscani, G.2
Wennberg, B.3
-
27
-
-
0001429116
-
Logarithmic Sobolev inequalities
-
27. Gross, L.: Logarithmic Sobolev inequalities. Am. J. Math. 97, 1061-1083 (1975)
-
(1975)
Am. J. Math.
, vol.97
, pp. 1061-1083
-
-
Gross, L.1
-
28
-
-
0002412857
-
p-properties for the spatially homogeneous Boltzmann equation
-
p-properties for the spatially homogeneous Boltzmann equation. Arch. Rat. Mech. Anal. 103, 1-39 (1988)
-
(1988)
Arch. Rat. Mech. Anal.
, vol.103
, pp. 1-39
-
-
Gustafsson, T.1
-
29
-
-
84941465845
-
A lower bound for discrimination information in terms of variation
-
29. Kullback, S.: A lower bound for discrimination information in terms of variation. IEEE Trans. Inf. The. 4, 126-127 (1967)
-
(1967)
IEEE Trans. Inf. The.
, vol.4
, pp. 126-127
-
-
Kullback, S.1
-
31
-
-
0000834860
-
Compactness in Boltzmann's equation via Fourier integral operators and applications
-
31. Lions, P.L.: Compactness in Boltzmann's equation via Fourier integral operators and applications. J. Math. Kyoto Univ. 34 (2), 391-427 (1994)
-
(1994)
J. Math. Kyoto Univ.
, vol.34
, Issue.2
, pp. 391-427
-
-
Lions, P.L.1
-
32
-
-
0001588111
-
A strenghtened central limit theorem for smooth densities
-
32. Lions, P.L. and Toscani, G.: A strenghtened central limit theorem for smooth densities. J. Funct. Anal. 128, 148-167 (1995)
-
(1995)
J. Funct. Anal.
, vol.128
, pp. 148-167
-
-
Lions, P.L.1
Toscani, G.2
-
33
-
-
0002550838
-
On the dynamical theory of gases
-
33. Maxwell, J.C.: On the dynamical theory of gases. Phil. Trans. R. Soc. Lond., 157, 49-88 (1867)
-
(1867)
Phil. Trans. R. Soc. Lond.
, vol.157
, pp. 49-88
-
-
Maxwell, J.C.1
-
34
-
-
0001055303
-
Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas
-
34. McKean, H.P.: Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas. Arch. Rat. Mech. Anal. 21, 343-367 (1966)
-
(1966)
Arch. Rat. Mech. Anal.
, vol.21
, pp. 343-367
-
-
McKean, H.P.1
-
35
-
-
0005525165
-
Analytical studies related to the Maxwell-Boltzmann equation
-
195
-
35. Morgenstern, D.: Analytical studies related to the Maxwell-Boltzmann equation. J. Rat. Mech. Anal. 4, 533-555 (195)
-
J. Rat. Mech. Anal.
, vol.4
, pp. 533-555
-
-
Morgenstern, D.1
-
37
-
-
0031538651
-
A Maxwellian lower bound for solutions to the Boltzmann equation
-
37. Pulvirenti, A. and Wennberg, B.: A Maxwellian lower bound for solutions to the Boltzmann equation. Commun. Math. Phys. 183, 145-160 (1997)
-
(1997)
Commun. Math. Phys.
, vol.183
, pp. 145-160
-
-
Pulvirenti, A.1
Wennberg, B.2
-
38
-
-
0002364870
-
New a priori estimates for the spatially homogeneous Boltzmann equation
-
38. Toscani, G.: New a priori estimates for the spatially homogeneous Boltzmann equation. Cont. Mech. Thermodyn. 4, 81-93 (1992)
-
(1992)
Cont. Mech. Thermodyn.
, vol.4
, pp. 81-93
-
-
Toscani, G.1
-
39
-
-
0004192714
-
Entropy production and the rate of convergence to equilibrium for the Fokker-Planck equation
-
To appear in
-
39. Toscani, G. Entropy production and the rate of convergence to equilibrium for the Fokker-Planck equation. To appear in Quarterly of Appl. Math.
-
Quarterly of Appl. Math.
-
-
Toscani, G.1
-
40
-
-
0032328649
-
The grazing collisions asymptotics of the non cut-off Kac equation
-
40. Toscani, G.: The grazing collisions asymptotics of the non cut-off Kac equation. Math. Mod. Num. An. 32, 763-772 (1998)
-
(1998)
Math. Mod. Num. An.
, vol.32
, pp. 763-772
-
-
Toscani, G.1
-
41
-
-
0033072701
-
Probability metrics and uniqueness of the solution to the Boltzmann equation for a Maxwell gas
-
41. Toscani, G. and Villani, C.: Probability metrics and uniqueness of the solution to the Boltzmann equation for a Maxwell gas. J. Stat. Phys. 94, 619-637 (1999)
-
(1999)
J. Stat. Phys.
, vol.94
, pp. 619-637
-
-
Toscani, G.1
Villani, C.2
-
43
-
-
0032338727
-
On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations
-
43. Villani, C.: On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations. Arch. Rat. Mech. Anal. 143 (3), 241-271 (1998)
-
(1998)
Arch. Rat. Mech. Anal.
, vol.143
, Issue.3
, pp. 241-271
-
-
Villani, C.1
-
44
-
-
0032341369
-
On the spatially homogeneous Landau equation for Maxwellian molecules
-
44. Villani, C.: On the spatially homogeneous Landau equation for Maxwellian molecules. Math. Mod. Meth. Appl. Sci. 8 (6), 957-983 (1998)
-
(1998)
Math. Mod. Meth. Appl. Sci.
, vol.8
, Issue.6
, pp. 957-983
-
-
Villani, C.1
-
45
-
-
0039506645
-
Conservative forms of Boltzmann's collision operator: Landau revisited
-
To appear in
-
45. Villani, C.: Conservative forms of Boltzmann's collision operator: Landau revisited. To appear in Math. Mod. Num. An.
-
Math. Mod. Num. An.
-
-
Villani, C.1
-
46
-
-
0040468242
-
Decrease of the Fisher information for the Landau equation with Maxwellian molecules
-
To appear in
-
46. Villani, C.: Decrease of the Fisher information for the Landau equation with Maxwellian molecules. To appear in Math. Mod. Meth. Appl. Sci.
-
Math. Mod. Meth. Appl. Sci.
-
-
Villani, C.1
-
47
-
-
0032187732
-
Fisher information bounds for Boltzmann's collision operator
-
47. Villani, C.: Fisher information bounds for Boltzmann's collision operator. J. Math. Pures Appl. 77, 821-837 (1998)
-
(1998)
J. Math. Pures Appl.
, vol.77
, pp. 821-837
-
-
Villani, C.1
-
48
-
-
0001614518
-
On an entropy dissipation inequality for the Boltzmann equation
-
48. Wennberg, B.: On an entropy dissipation inequality for the Boltzmann equation. C. R. Acad. Sci. Paris, t. 315, Série I, 1441-1446 (1992)
-
(1992)
C. R. Acad. Sci. Paris, T.
, vol.315
, Issue.1
, pp. 1441-1446
-
-
Wennberg, B.1
-
50
-
-
0001210972
-
Regularity in the Boltzmann equation and the Radon transform
-
50. Wennberg, B.: Regularity in the Boltzmann equation and the Radon transform. Comm. P.D.E. 11 & 12 (19), 2057-2074 (1994)
-
(1994)
Comm. P.D.E.
, vol.11-12
, Issue.19
, pp. 2057-2074
-
-
Wennberg, B.1
-
51
-
-
0031092560
-
Entropy dissipation and moment production for the Boltzmann equation
-
51. Wennberg, B.: Entropy dissipation and moment production for the Boltzmann equation. J. Stat. Phys. 86 (5/6), 1053-1066 (1997)
-
(1997)
J. Stat. Phys.
, vol.86
, Issue.5-6
, pp. 1053-1066
-
-
Wennberg, B.1
|