-
1
-
-
33645085182
-
Explicit spectral gap estimates for the linearized Boltzmann and Landau operators with hard potentials
-
Baranger C and Mouhot C 2005 Explicit spectral gap estimates for the linearized Boltzmann and Landau operators with hard potentials Rev. Mat. Iberoamericana 21 819-41
-
(2005)
Rev. Mat. Iberoamericana
, vol.21
, pp. 819-841
-
-
Baranger, C.1
Mouhot, C.2
-
2
-
-
0000141020
-
Global classical solutions of the periodic Vlasov-Poisson system in three dimensions
-
0762-0969
-
Batt J and Rein G 1991 Global classical solutions of the periodic Vlasov-Poisson system in three dimensions C. R. Acad. Sci. Paris 313 411-16
-
(1991)
C. R. Acad. Sci. Paris
, vol.313
, pp. 411-416
-
-
Batt, J.1
Rein, G.2
-
3
-
-
0038381004
-
Equilibration rate for the linear inhomogeneous relaxation-time Boltzmann equation for charged particles
-
10.1081/PDE-120021182 0360-5302
-
Cceres M J, Carrillo J A and Goudon T 2003 Equilibration rate for the linear inhomogeneous relaxation-time Boltzmann equation for charged particles Comment. Partial Differ. Eqns 28 969-89
-
(2003)
Comment. Partial Differ. Eqns
, vol.28
, pp. 969-989
-
-
Cceres, M.J.1
Carrillo, J.A.2
Goudon, T.3
-
4
-
-
0002356751
-
Strict entropy production bounds and stability of the rate of convergence to equilibrium for the Boltzmann equation
-
10.1007/BF01049721 0022-4715
-
Carlen E A and Carvalho M C 1992 Strict entropy production bounds and stability of the rate of convergence to equilibrium for the Boltzmann equation J. Stat. Phys. 67 575-608
-
(1992)
J. Stat. Phys.
, vol.67
, Issue.3-4
, pp. 575-608
-
-
Carlen, E.A.1
Carvalho, M.C.2
-
5
-
-
21344493381
-
Entropy production estimates for Boltzmann equations with physically realistic collision kernels
-
10.1007/BF02188578 0022-4715
-
Carlen E A and Carvalho M C 1994 Entropy production estimates for Boltzmann equations with physically realistic collision kernels J. Stat. Phys. 74 743-82
-
(1994)
J. Stat. Phys.
, vol.74
, Issue.3-4
, pp. 743-782
-
-
Carlen, E.A.1
Carvalho, M.C.2
-
8
-
-
0002931582
-
Convergence to equilibrium in large time for Boltzmann and BGK equations
-
10.1007/BF00375163 0003-9527
-
Desvillettes L 1990 Convergence to equilibrium in large time for Boltzmann and BGK equations Arch. Ration. Mech. Anal. 110 73-91
-
(1990)
Arch. Ration. Mech. Anal.
, vol.110
, Issue.1
, pp. 73-91
-
-
Desvillettes, L.1
-
9
-
-
0000195197
-
On long time asymptotics of the Vlasov-Poisson-Boltzmann equation
-
Desvillettes L and Dolbeault J 1991 On long time asymptotics of the Vlasov-Poisson-Boltzmann equation Comment. Partial Differ. Eqns 16 451-89
-
(1991)
Comment. Partial Differ. Eqns
, vol.16
, pp. 451-489
-
-
Desvillettes, L.1
Dolbeault, J.2
-
10
-
-
0035526707
-
On the trend to global equilibrium in spatially inhomogeneous systems. Part I: The linear Fokker-Planck equation
-
10.1002/1097-0312(200101)54:13.0.CO;2-Q 0010-3640
-
Desvillettes L and Villani C 2001 On the trend to global equilibrium in spatially inhomogeneous systems. Part I: the linear Fokker-Planck equation Commun. Pure Appl. Math. 54 1-42
-
(2001)
Commun. Pure Appl. Math.
, vol.54
, Issue.1
, pp. 1-42
-
-
Desvillettes, L.1
Villani, C.2
-
11
-
-
12844275468
-
On the trend to global equilibrium for spatially inhomogeneous kinetic systems: The Boltzmann equation
-
10.1007/s00222-004-0389-9 0020-9910
-
Desvillettes L and Villani C 2005 On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation Invent. Math. 159 245-316
-
(2005)
Invent. Math.
, vol.159
, Issue.2
, pp. 245-316
-
-
Desvillettes, L.1
Villani, C.2
-
12
-
-
21844494298
-
Kinetic models and quantum effects: A modified Boltzmann equation for Fermi-Dirac particles
-
10.1007/BF00377657 0003-9527
-
Dolbeault L 1994 Kinetic models and quantum effects: a modified Boltzmann equation for Fermi-Dirac particles Arch. Ration. Mech. Anal. 127 101-31
-
(1994)
Arch. Ration. Mech. Anal.
, vol.127
, Issue.2
, pp. 101-131
-
-
Dolbeault, L.1
-
13
-
-
3543147815
-
Asymptotic description of Dirac mass formation in kinetic equations for quantum particles
-
10.1016/j.jde.2004.03.031 0022-0396
-
Escobedo M, Mischler S and Velazquez J J L 2004 Asymptotic description of Dirac mass formation in kinetic equations for quantum particles J. Differ. Eqns 202 208-30
-
(2004)
J. Differ. Eqns
, vol.202
, Issue.2
, pp. 208-230
-
-
Escobedo, M.1
Mischler, S.2
Velazquez, J.J.L.3
-
14
-
-
2142838409
-
Convergence to global equilibrium for spatially inhomogeneous kinetic models of non-micro-reversible processes
-
10.1007/s00605-002-0058-2 0026-9255
-
Fellner K, Neumann L and Schmeiser C 2004 Convergence to global equilibrium for spatially inhomogeneous kinetic models of non-micro-reversible processes Monatsh. Math. 141 289-99
-
(2004)
Monatsh. Math.
, vol.141
, Issue.4
, pp. 289-299
-
-
Fellner, K.1
Neumann, L.2
Schmeiser, C.3
-
15
-
-
0001294845
-
Principles of the kinetic theory of gases
-
Grad H 1958 Principles of the kinetic theory of gases Flügge's Handbuch des Physik vol XII (Berlin: Springer) pp 205-94
-
(1958)
Flügge's Handbuch des Physik
, vol.12
, pp. 205-294
-
-
Grad, H.1
-
16
-
-
0003138434
-
Asymptotic theory of the Boltzmann equation. II
-
Grad H 1963 Asymptotic theory of the Boltzmann equation. II Rarefied Gas Dynamics Proc. 3rd Int. Symp. (Palais de l'UNESCO, Paris, 1962) vol I pp 26-59
-
(1963)
Rarefied Gas Dynamics Proc. 3rd Int. Symp.
, vol.1
, pp. 26-59
-
-
Grad, H.1
-
17
-
-
0036328887
-
The Vlasov-Poisson-Boltzmann system near Maxwellians
-
10.1002/cpa.10040 0010-3640
-
Guo Y 2002 The Vlasov-Poisson-Boltzmann system near Maxwellians Commun. Pure Appl. Math. 55 1104-35
-
(2002)
Commun. Pure Appl. Math.
, vol.55
, Issue.9
, pp. 1104-1135
-
-
Guo, Y.1
-
18
-
-
0036882740
-
The Landau equation in a periodic box
-
10.1007/s00220-002-0729-9 0010-3616
-
Guo Y 2002 The Landau equation in a periodic box Commun. Math. Phys. 231 391-434
-
(2002)
Commun. Math. Phys.
, vol.231
, Issue.3
, pp. 391-434
-
-
Guo, Y.1
-
19
-
-
0042438264
-
Classical solutions to the Boltzmann equation for molecules with an angular cutoff
-
10.1007/s00205-003-0262-9 0003-9527
-
Guo Y 2003 Classical solutions to the Boltzmann equation for molecules with an angular cutoff Arch. Ration Mech. Anal. 169 305-53
-
(2003)
Arch. Ration Mech. Anal.
, vol.169
, Issue.4
, pp. 305-353
-
-
Guo, Y.1
-
20
-
-
0041413233
-
The Vlasov-Maxwell-Boltzmann system near Maxwellians
-
10.1007/s00222-003-0301-z 0020-9910
-
Guo Y 2003 The Vlasov-Maxwell-Boltzmann system near Maxwellians Invent. Math. 153 593-630
-
(2003)
Invent. Math.
, vol.153
, Issue.3
, pp. 593-630
-
-
Guo, Y.1
-
21
-
-
8844227476
-
The Boltzmann equation in the whole space
-
10.1512/iumj.2004.53.2574 0022-2518
-
Guo Y 2004 The Boltzmann equation in the whole space Indiana Math. J. 53 1081-94
-
(2004)
Indiana Math. J.
, vol.53
, Issue.4
, pp. 1081-1094
-
-
Guo, Y.1
-
24
-
-
1142264370
-
Isotropic hypoellipticity and trend to the equilibrium for the Fokker-Planck equation with high degree potential
-
10.1007/s00205-003-0276-3 0003-9527
-
Hérau F and Nier F 2004 Isotropic hypoellipticity and trend to the equilibrium for the Fokker-Planck equation with high degree potential Arch. Ration. Mech. Anal. 171 151-218
-
(2004)
Arch. Ration. Mech. Anal.
, vol.171
, Issue.2
, pp. 151-218
-
-
Hérau, F.1
Nier, F.2
-
26
-
-
0346498040
-
Energy method for the Boltzmann equation
-
10.1016/j.physd.2003.07.011 0167-2789 D
-
Liu T-P, Yang T and Yu S-H 2004 Energy method for the Boltzmann equation Physica D 188 178-92
-
(2004)
Physica
, vol.188
, Issue.3-4
, pp. 178-192
-
-
Liu, T.-P.1
Yang, T.2
Yu, S.-H.3
-
27
-
-
0034339707
-
A modified Boltzmann equation for Bose-Einstein particles: Isotropic solutions and long-time behavior
-
10.1023/A:1018628031233 0022-4715
-
Lu X 2000 A modified Boltzmann equation for Bose-Einstein particles: isotropic solutions and long-time behavior J. Stat. Phys. 98 1335-94
-
(2000)
J. Stat. Phys.
, vol.98
, pp. 1335-1394
-
-
Lu, X.1
-
28
-
-
23744435970
-
On isotropic distributional solutions to the Boltzmann equation for Bose-Einstein particles
-
10.1023/B:JOSS.0000041750.11320.9c 0022-4715
-
Lu X 2004 On isotropic distributional solutions to the Boltzmann equation for Bose-Einstein particles J. Stat. Phys. 116 1597-649
-
(2004)
J. Stat. Phys.
, vol.116
, Issue.5-6
, pp. 1597-1649
-
-
Lu, X.1
-
30
-
-
29144473644
-
Rate of convergence for the spatially homogeneous Boltzmann equation for hard potentials
-
10.1007/s00220-005-1455-x 0010-3616
-
Mouhot C 2006 Rate of convergence for the spatially homogeneous Boltzmann equation for hard potentials Commun. Math. Phys. 261 629-72
-
(2006)
Commun. Math. Phys.
, vol.261
, Issue.3
, pp. 629-672
-
-
Mouhot, C.1
-
31
-
-
33645063630
-
Explicit coercivity estimates for the Boltzmann and Landau operators
-
Mouhot C Explicit coercivity estimates for the Boltzmann and Landau operators Comment. Partial Differ. Eqns submitted
-
Comment. Partial Differ. Eqns
-
-
Mouhot, C.1
-
33
-
-
25144464368
-
Convergence to global equilibrium for a kinetic model for fermions
-
10.1137/S0036141003436533 0036-1410
-
Neumann L and Schmeiser C 2005 Convergence to global equilibrium for a kinetic model for fermions SIAM J. Math. Anal. 36 1652-63
-
(2005)
SIAM J. Math. Anal.
, vol.36
, Issue.5
, pp. 1652-1663
-
-
Neumann, L.1
Schmeiser, C.2
-
34
-
-
33644808362
-
Almost exponential decay near Maxwellians
-
10.1080/03605300500361545 0360-5302
-
Strain R M and Guo Y 2006 Almost exponential decay near Maxwellians Comment. Partial Differ. Eqns 21 417-29
-
(2006)
Comment. Partial Differ. Eqns
, vol.31
, Issue.3
, pp. 417-429
-
-
Strain, R.M.1
Guo, Y.2
-
36
-
-
0033242961
-
Sharp entropy dissipation bounds and explicit rate of trend to equilibrium for the spatially homogeneous Boltzmann equation
-
10.1007/s002200050631 0010-3616
-
Toscani G and Villani C 1999 Sharp entropy dissipation bounds and explicit rate of trend to equilibrium for the spatially homogeneous Boltzmann equation Commun. Math. Phys. 203 667-706
-
(1999)
Commun. Math. Phys.
, vol.203
, Issue.3
, pp. 667-706
-
-
Toscani, G.1
Villani, C.2
-
37
-
-
0000824099
-
On the existence of global solutions of the mixed problem for non-linear Boltzmann equation
-
0021-4280
-
Ukai S 1974 On the existence of global solutions of the mixed problem for non-linear Boltzmann equation Proc. Japan Acad. 50 179-84
-
(1974)
Proc. Japan Acad.
, vol.50
, Issue.3
, pp. 179-184
-
-
Ukai, S.1
-
38
-
-
33645057344
-
-
Villani C 2000 Contribution l'étude mathématique des collisions en théorie cinétique Master's Thesis University of Paris-Dauphine
-
(2000)
Master's Thesis
-
-
Villani, C.1
-
39
-
-
67649344144
-
A review of mathematical topics in collisional kinetic theory
-
Villani C 2002 A review of mathematical topics in collisional kinetic theory Handbook of Mathematical Fluid Dynamics vol I (Amsterdam: North-Holland) pp 71-305
-
(2002)
Handbook of Mathematical Fluid Dynamics
, vol.1
, pp. 71-305
-
-
Villani, C.1
|