-
1
-
-
0034419017
-
Entropy dissipation and long range interactions
-
Alexandre R., Desvillettes L., Villani C., Wennberg B.: Entropy dissipation and long range interactions. Arch. Rat. Mech. Anal. 152(4), 327-355 (2000).
-
(2000)
Arch. Rat. Mech. Anal.
, vol.152
, Issue.4
, pp. 327-355
-
-
Alexandre, R.1
Desvillettes, L.2
Villani, C.3
Wennberg, B.4
-
2
-
-
69549101986
-
Existence of global solutions to the Cauchy problem for the inelastic Boltzmann equation with near-vacuum data
-
Alonso R.: Existence of global solutions to the Cauchy problem for the inelastic Boltzmann equation with near-vacuum data. Indiana Univ. Math. J. 58(3), 999-1022 (2009).
-
(2009)
Indiana Univ. Math. J.
, vol.58
, Issue.3
, pp. 999-1022
-
-
Alonso, R.1
-
3
-
-
70449525314
-
Estimates for the Boltzmann collision operator via radial symmetry and Fourier transform
-
Alonso R., Carneiro E.: Estimates for the Boltzmann collision operator via radial symmetry and Fourier transform. Adv. Math. 223(2), 511-528 (2010).
-
(2010)
Adv. Math.
, vol.223
, Issue.2
, pp. 511-528
-
-
Alonso, R.1
Carneiro, E.2
-
4
-
-
43749123873
-
∞-Maxwellian bounds for the derivatives of the solution of the homogeneous Boltzmann equation
-
∞-Maxwellian bounds for the derivatives of the solution of the homogeneous Boltzmann equation. J. Math. Pures et Appl. (9) 89(6), 575-595 (2008).
-
(2008)
J. Math. Pures Et Appl. (9)
, vol.89
, Issue.6
, pp. 575-595
-
-
Alonso, R.J.1
Gamba, I.M.2
-
5
-
-
74449088828
-
Distributional and classical solutions to the Cauchy-Boltzmann problem for soft potentials with integrable angular cross section
-
Alonso R. J., Gamba I. M.: Distributional and classical solutions to the Cauchy-Boltzmann problem for soft potentials with integrable angular cross section. J. Stat. Phys. 137(5-6), 1147-1165 (2009).
-
(2009)
J. Stat. Phys.
, vol.137
, Issue.5-6
, pp. 1147-1165
-
-
Alonso, R.J.1
Gamba, I.M.2
-
6
-
-
77954620064
-
-
Alonso, R. J., Lods, B.: Free cooling of granular gases with variable restitution coefficient. In preparation.
-
-
-
-
7
-
-
0000898117
-
Inequalities in Fourier analysis
-
Beckner W.: Inequalities in Fourier analysis. Ann. Math. (2) 102(1), 159-182 (1975).
-
(1975)
Ann. Math. (2)
, vol.102
, Issue.1
, pp. 159-182
-
-
Beckner, W.1
-
8
-
-
0035643773
-
On the one-dimensional Boltzmann equation for granular flow
-
Benedetto D., Pulvirenti M.: On the one-dimensional Boltzmann equation for granular flow. Math. Model. Numer. Anal. 35(5), 899-905 (2001).
-
(2001)
Math. Model. Numer. Anal.
, vol.35
, Issue.5
, pp. 899-905
-
-
Benedetto, D.1
Pulvirenti, M.2
-
9
-
-
0000242869
-
The method of the Fourier transform in the theory of the Boltzmann equation for Maxwell molecules
-
Bobylev A.: The method of the Fourier transform in the theory of the Boltzmann equation for Maxwell molecules. Dokl. Akad. Nauk SSSR 225(6), 1041-1044 (1975).
-
(1975)
Dokl. Akad. Nauk SSSR
, vol.225
, Issue.6
, pp. 1041-1044
-
-
Bobylev, A.1
-
10
-
-
0000411415
-
The theory of the nonlinear, spatially uniform Boltzmann equation for Maxwellian molecules
-
Bobylev A.: 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.1
-
11
-
-
0031231967
-
Moment inequalities for the Boltzmann equation and applications to spatially homogeneous problems
-
Bobylev A.: Moment inequalities for the Boltzmann equation and applications to spatially homogeneous problems. J. Stat. Phys. 88(5-6), 1183-1214 (1997).
-
(1997)
J. Stat. Phys.
, vol.88
, Issue.5-6
, pp. 1183-1214
-
-
Bobylev, A.1
-
12
-
-
0034343060
-
On some properties of kinetic and hydrodynamic equations for inelastic interactions
-
Bobylev A. V., Carrillo J. A., Gamba I. M.: On some properties of kinetic and hydrodynamic equations for inelastic interactions. J. Stat. Phys. 98(3-4), 743-773 (2000).
-
(2000)
J. Stat. Phys.
, vol.98
, Issue.3-4
, pp. 743-773
-
-
Bobylev, A.V.1
Carrillo, J.A.2
Gamba, I.M.3
-
13
-
-
0037210439
-
Self-similar asymptotics for the Boltzmann equation with inelastic and elastic interactions
-
Bobylev A., Cercignani C.: Self-similar asymptotics for the Boltzmann equation with inelastic and elastic interactions. J. Stat. Phys. 110, 333-375 (2003).
-
(2003)
J. Stat. Phys.
, vol.110
, pp. 333-375
-
-
Bobylev, A.1
Cercignani, C.2
-
14
-
-
70350699397
-
On the self-similar asymptotics for generalized non-linear kinetic Maxwell models
-
Bobylev A., Cercignani C., Gamba I. M.: On the self-similar asymptotics for generalized non-linear kinetic Maxwell models. Commun. Math. Phys. 291, 599-644 (2009).
-
(2009)
Commun. Math. Phys.
, vol.291
, pp. 599-644
-
-
Bobylev, A.1
Cercignani, C.2
Gamba, I.M.3
-
15
-
-
0037276633
-
Proof of an asymptotic property of self-similar solutions of the Boltzmann equation for granular materials
-
Bobylev A., Cercignani C., Toscani G.: Proof of an asymptotic property of self-similar solutions of the Boltzmann equation for granular materials. J. Stat. Phys. 111, 403-417 (2003).
-
(2003)
J. Stat. Phys.
, vol.111
, pp. 403-417
-
-
Bobylev, A.1
Cercignani, C.2
Toscani, G.3
-
16
-
-
7244221021
-
Moment inequalities and high-energy tails for Boltzmann equations with inelastic interactions
-
Bobylev A., Gamba I. M., Panferov V.: Moment inequalities and high-energy tails for Boltzmann equations with inelastic interactions. J. Stat. Phys. 116, 1651-1682 (2004).
-
(2004)
J. Stat. Phys.
, vol.116
, pp. 1651-1682
-
-
Bobylev, A.1
Gamba, I.M.2
Panferov, V.3
-
17
-
-
0001126703
-
Best constants in Young's inequality, its converse, and its generalization to more than three functions
-
Brascamp H. J., Lieb E. H.: Best constants in Young's inequality, its converse, and its generalization to more than three functions. Adv. Math. 20, 151-173 (1976).
-
(1976)
Adv. Math.
, vol.20
, pp. 151-173
-
-
Brascamp, H.J.1
Lieb, E.H.2
-
18
-
-
0001378271
-
A general rearrangement inequality for multiple integrals
-
Brascamp H. J., Lieb E., Luttinger J. M.: A general rearrangement inequality for multiple integrals. J. Funct. Anal. 17, 227-237 (1974).
-
(1974)
J. Funct. Anal.
, vol.17
, pp. 227-237
-
-
Brascamp, H.J.1
Lieb, E.2
Luttinger, J.M.3
-
20
-
-
77954624483
-
-
Cercignani, C., Illner, R., Pulvirenti, M.: The mathematical theory of dilute gases. Applied Mathematical Sciences, Vol. 106, New York: Springer-Verlag, 1994.
-
-
-
-
21
-
-
35348914557
-
About the use of the Fourier transform for the Boltzmann equation
-
Desvillettes L.: About the use of the Fourier transform for the Boltzmann equation. Riv. Mat. Univ. Parma. 7, 1-99 (2003).
-
(2003)
Riv. Mat. Univ. Parma.
, vol.7
, pp. 1-99
-
-
Desvillettes, L.1
-
22
-
-
33748567476
-
On estimates of the Boltzmann collision operator with cutoff
-
Duduchava R., Kirsch R., Rjasanow S.: On estimates of the Boltzmann collision operator with cutoff. J. Math. Fluid Mech. 8(2), 242-266 (2006).
-
(2006)
J. Math. Fluid Mech.
, vol.8
, Issue.2
, pp. 242-266
-
-
Duduchava, R.1
Kirsch, R.2
Rjasanow, S.3
-
23
-
-
70349628429
-
Upper Maxwellian bounds for the spatially homogeneous Boltzmann equation
-
Gamba I. M., Panferov V., Villani C.: Upper Maxwellian bounds for the spatially homogeneous Boltzmann equation. Arch. Rat. Mech. Anal 194, 253-282 (2009).
-
(2009)
Arch. Rat. Mech. Anal
, vol.194
, pp. 253-282
-
-
Gamba, I.M.1
Panferov, V.2
Villani, C.3
-
24
-
-
2442489990
-
On the Boltzmann equation for diffusively excited granular media
-
Gamba I. M., Panferov V., Villani C.: On the Boltzmann equation for diffusively excited granular media. Commun. Math. Phys. 246(3), 503-541 (2004).
-
(2004)
Commun. Math. Phys.
, vol.246
, Issue.3
, pp. 503-541
-
-
Gamba, I.M.1
Panferov, V.2
Villani, C.3
-
25
-
-
59149091341
-
Spectral-Lagrangian based methods applied to computation of non-equilibrium statistical states
-
Gamba I. M., Sri Harsha Tharkabhushaman: Spectral-Lagrangian based methods applied to computation of non-equilibrium statistical states. J. Comput. Phys. 228, 2012-2036 (2009).
-
(2009)
J. Comput. Phys.
, vol.228
, pp. 2012-2036
-
-
Gamba, I.M.1
Sri Harsha, T.2
-
26
-
-
0002412857
-
p properties for the spatially homogeneous Boltzmann equation
-
p properties for the spatially homogeneous Boltzmann equation. Arch. Rat. Mech. Anal. 103, 1-38 (1988).
-
(1988)
Arch. Rat. Mech. Anal.
, vol.103
, pp. 1-38
-
-
Gustafsson, T.1
-
27
-
-
35348902536
-
A weak formulation of the Boltzmann equation based on the Fourier Transform
-
Kirsch R., Rjasanow S.: A weak formulation of the Boltzmann equation based on the Fourier Transform. J. Stat. Phys. 129, 483-492 (2007).
-
(2007)
J. Stat. Phys.
, vol.129
, pp. 483-492
-
-
Kirsch, R.1
Rjasanow, S.2
-
28
-
-
0000298073
-
Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
-
Lieb E. H.: Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities. Ann. of Math. (2) 118(2), 349-374 (1983).
-
(1983)
Ann. Of Math. (2)
, vol.118
, Issue.2
, pp. 349-374
-
-
Lieb, E.H.1
-
29
-
-
77954620350
-
-
Lieb, E. H., Loss, M.: Analysis. Graduate Studies in Mathematics, v. 14, Providence, RI: Amer. Math. Soc., 2001.
-
-
-
-
30
-
-
33751051996
-
Cooling process for inelastic Boltzmann equations for hard spheres. Part I: The Cauchy problem
-
Mischler S., Mouhot C., Ricard M. R.: Cooling process for inelastic Boltzmann equations for hard spheres. Part I: The Cauchy problem. J. Stat. Phys. 124, 655-702 (2006).
-
(2006)
J. Stat. Phys.
, vol.124
, pp. 655-702
-
-
Mischler, S.1
Mouhot, C.2
Ricard, M.R.3
-
31
-
-
4344621115
-
Regularity theory for the spatially homogeneous Boltzmann equation with cut-off
-
Mouhot C., Villani C.: Regularity theory for the spatially homogeneous Boltzmann equation with cut-off. Arch. Rat. Mech. Anal. 173, 169-212 (2004).
-
(2004)
Arch. Rat. Mech. Anal.
, vol.173
, pp. 169-212
-
-
Mouhot, C.1
Villani, C.2
-
32
-
-
67649344144
-
-
Villani, C.: A review of mathematical topics in collisional kinetic theory. Handbook of mathematical fluid dynamics, Vol. I, Amsterdam: North-Holland, 2002, pp. 71-305.
-
-
-
-
33
-
-
84953751498
-
-
Zygmund, A.: Trigonometric Series, Vol. II, Cambridge University Press, 1959.
-
-
-
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