-
1
-
-
0002042431
-
On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations
-
A. Arnold, P. Markowich, G. Toscani, and A. Unterreiter, On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations. Commun. Partial Diff. Equa. 26:43-100 (2001).
-
(2001)
Commun. Partial Diff. Equa.
, vol.26
, pp. 43-100
-
-
Arnold, A.1
Markowich, P.2
Toscani, G.3
Unterreiter, A.4
-
2
-
-
0000411415
-
The theory of the nonlinear spatially uniform Boltzmann equation for Maxwellian molecules
-
A.V. Bobylev, The theory of the nonlinear spatially uniform Boltzmann equation for Maxwellian molecules, Sov. Sci. Rev. c 7:111-233 (1988).
-
(1988)
Sov. Sci. Rev. C
, vol.7
, pp. 111-233
-
-
Bobylev, A.V.1
-
3
-
-
0034343060
-
On some properties of kinetic and hydrodynamics equations for inelastic interactions
-
A.V. Bobylev, J.-A. Carrillo and I. M. Gamba, On some properties of kinetic and hydrodynamics equations for inelastic interactions, J. Statist. Phys. 98:743-773 (2000).
-
(2000)
J. Statist. Phys.
, vol.98
, pp. 743-773
-
-
Bobylev, A.V.1
Carrillo, J.-A.2
Gamba, I.M.3
-
4
-
-
0036115583
-
Moment equations for a granular material in a thermal bath
-
A.V. Bobylev and C. Cercignani, Moment equations for a granular material in a thermal bath, J. Statist. Phys. 106:547-567 (2002).
-
(2002)
J. Statist. Phys.
, vol.106
, pp. 547-567
-
-
Bobylev, A.V.1
Cercignani, C.2
-
5
-
-
7244221021
-
Moment inequalities and high-energy tails for the Boltzmann equations with inelastic interactions
-
A.V. Bobylev, I. M. Gamba, and V. Panferov, Moment inequalities and high-energy tails for the Boltzmann equations with inelastic interactions, J. Stat. Phys. 116:1651-1682 (2004).
-
(2004)
J. Stat. Phys.
, vol.116
, pp. 1651-1682
-
-
Bobylev, A.V.1
Gamba, I.M.2
Panferov, V.3
-
7
-
-
0034504071
-
Steady states of a Boltzmann equation for driven granular media
-
J.-A. Carrillo, C. Cercignani, and I. M. Gamba, Steady states of a Boltzmann equation for driven granular media, Phys. Rev. E 62:7700-7707 (2000).
-
(2000)
Phys. Rev. E
, vol.62
, pp. 7700-7707
-
-
Carrillo, J.-A.1
Cercignani, C.2
Gamba, I.M.3
-
10
-
-
0000583046
-
The Fokker-Planck asymptotics of the Boltzmann collision operator in the Coulomb case
-
P. Degond and B. Lucquin-Desreux, The Fokker-Planck asymptotics of the Boltzmann collision operator in the Coulomb case, Math. Mod. Meth. Appl. Sci. 2:167-182 (1992).
-
(1992)
Math. Mod. Meth. Appl. Sci.
, vol.2
, pp. 167-182
-
-
Degond, P.1
Lucquin-Desreux, B.2
-
11
-
-
84947512966
-
On asymptotics of the Boltzmann equation when the collisions become grazing
-
L. Desvillettes, On asymptotics of the Boltzmann equation when the collisions become grazing, Transp. Theory Stat. Phys. 21:259-276 (1992).
-
(1992)
Transp. Theory Stat. Phys.
, vol.21
, pp. 259-276
-
-
Desvillettes, L.1
-
12
-
-
1642375713
-
High energy tails for inelastic Maxwell models
-
M. H. Ernst and R. Brito, High energy tails for inelastic Maxwell models, Europhys. Lett. 43:497-502 (2002).
-
(2002)
Europhys. Lett.
, vol.43
, pp. 497-502
-
-
Ernst, M.H.1
Brito, R.2
-
13
-
-
0036393182
-
Scaling solutions of inelastic Boltzmann equation with over-populated high energy tails
-
M. H. Ernst and R. Brito, Scaling solutions of inelastic Boltzmann equation with over-populated high energy tails, J. Statist. Phys. 109:407-432 (2002).
-
(2002)
J. Statist. Phys.
, vol.109
, pp. 407-432
-
-
Ernst, M.H.1
Brito, R.2
-
14
-
-
0035457542
-
A rigorous derivation of a linear kinetic equation of Fokker-Planck type in the limit of grazing collisions
-
L. Desvillettes and V. Ricci, A rigorous derivation of a linear kinetic equation of Fokker-Planck type in the limit of grazing collisions, J. Statist. Phys. 104:1173-1189 (2001).
-
(2001)
J. Statist. Phys.
, vol.104
, pp. 1173-1189
-
-
Desvillettes, L.1
Ricci, V.2
-
15
-
-
1642269762
-
On the inelastic Boltzmann equation with diffusive forcing
-
NY, Kluwer/Plenum, New York
-
I. M. Gamba, V. Panferov, and C. Villani, On the inelastic Boltzmann equation with diffusive forcing, Nonlinear Problems in Mathematical Physics and Related Topics, II, Int. Math. Ser. (NY), 2, (Kluwer/Plenum, New York, 2002), pp. 179-192.
-
(2002)
Nonlinear Problems in Mathematical Physics and Related Topics, II, Int. Math. Ser.
, vol.2
, pp. 179-192
-
-
Gamba, I.M.1
Panferov, V.2
Villani, C.3
-
16
-
-
0033196588
-
Scales and kinetics of granular flows
-
I. Goldhirsch, Scales and kinetics of granular flows. Chaos 9:659-672 (1999).
-
(1999)
Chaos
, vol.9
, pp. 659-672
-
-
Goldhirsch, I.1
-
17
-
-
0347903943
-
Rapid granular flows: Kinetics and hydrodynamics
-
N. Bellomo and M. Pulvirenti, eds. (Birkhäuser, Boston)
-
I. Goldhirsch, Rapid granular flows: kinetics and hydrodynamics. In Modeling in Applied Sciences: A Kinetic Theory Approach, N. Bellomo and M. Pulvirenti, eds. (Birkhäuser, Boston, 2000).
-
(2000)
Modeling in Applied Sciences: A Kinetic Theory Approach
-
-
Goldhirsch, I.1
-
18
-
-
0010073661
-
On the Boltzmann equation and its relations to the Landau-Fokker-Planck equation: Influence of grazing collisions
-
T. Goudon, On the Boltzmann equation and its relations to the Landau-Fokker-Planck equation: influence of grazing collisions, C. R. Acad. Sci. Paris t.324, Serie I 265-270 (1997).
-
(1997)
C. R. Acad. Sci. Paris
, vol.324 SERIE I
, pp. 265-270
-
-
Goudon, T.1
-
20
-
-
0033137410
-
Thermalization of a particle by dissipative collisions
-
P. A. Martin and J. Piaceski, Thermalization of a particle by dissipative collisions, Europhys. Lett. 46(5):613-616 (1999).
-
(1999)
Europhys. Lett.
, vol.46
, Issue.5
, pp. 613-616
-
-
Martin, P.A.1
Piaceski, J.2
-
21
-
-
21144460974
-
On weak and strong convergence to equilibrium for solutions to the linear Boltzmann equation
-
R. Pettersson, On weak and strong convergence to equilibrium for solutions to the linear Boltzmann equation. J. Statist. Phys. 72:355-380 (1993).
-
(1993)
J. Statist. Phys.
, vol.72
, pp. 355-380
-
-
Pettersson, R.1
-
23
-
-
3543013213
-
Asymptotic properties of the inelastic Kac model
-
A. Pulvirenti and G. Toscani, Asymptotic properties of the inelastic Kac model, J. Statist. Phys. 114:1453-1480 (2004).
-
(2004)
J. Statist. Phys.
, vol.114
, pp. 1453-1480
-
-
Pulvirenti, A.1
Toscani, G.2
-
25
-
-
1642267397
-
The dissipative linear Boltzmann equation
-
G. Spiga and G. Toscani, The dissipative linear Boltzmann equation, Appl. Math. Lett. 17:295-301 (2004).
-
(2004)
Appl. Math. Lett.
, vol.17
, pp. 295-301
-
-
Spiga, G.1
Toscani, G.2
-
26
-
-
3042573547
-
Kinetic and hydrodinamic models of nearly elastic granular flows
-
G. Toscani, Kinetic and hydrodinamic models of nearly elastic granular flows, Monatschefte für Mathematik. 142:179-192 (2004).
-
(2004)
Monatschefte für Mathematik.
, vol.142
, pp. 179-192
-
-
Toscani, G.1
-
27
-
-
0032338727
-
On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations
-
C. Villani, On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations, Arch. Rational Mech. Anal. 143:273-307 (1998).
-
(1998)
Arch. Rational Mech. Anal.
, vol.143
, pp. 273-307
-
-
Villani, C.1
-
28
-
-
0032341369
-
On the spatially homogeneous Landau equation for Maxwellian molecules
-
C. Villani, On the spatially homogeneous Landau equation for Maxwellian molecules, Math. Mod. Meth. Appl. Sci. 8:957-983 (1998).
-
(1998)
Math. Mod. Meth. Appl. Sci.
, vol.8
, pp. 957-983
-
-
Villani, C.1
|