-
1
-
-
0020811698
-
Grain flow as a fluid-mechanical phenomenon
-
P. K. Haff, " Grain flow as a fluid-mechanical phenomenon, " J. Fluid Mech. 134, 401 (1983).
-
(1983)
J. Fluid Mech.
, vol.134
, pp. 401
-
-
Haff, P.K.1
-
2
-
-
0003200990
-
The mathematical theory of dilute gases
-
Springer, Berlin
-
C. Cercignani, R. Illner, and M. Pulvirenti, The Mathematical Theory of Dilute Gases, Springer Series in Applied Mathematical Sciences, Vol. 106 (Springer, Berlin, 1994).
-
(1994)
Springer Series in Applied Mathematical Sciences
, vol.106
-
-
Cercignani, C.1
Illner, R.2
Pulvirenti, M.3
-
3
-
-
0031529217
-
A kinetic equation for granular media
-
D. Benedetto, E. Caglioti, and M. Pulvirenti, " A kinetic equation for granular media, " Model. Math. Anal. Numer. 31, 615 (1997).
-
(1997)
Model. Math. Anal. Numer.
, vol.31
, pp. 615
-
-
Benedetto, D.1
-
4
-
-
85071922341
-
Granular gases with impact-velocity dependent restitution coefficient
-
edited by, T. Pöschel, and, S. Luding, (Springer, Berlin)
-
N.V. Brilliantov and T. Pöschel, " Granular gases with impact-velocity dependent restitution coefficient, " in Granular Gases, edited by, T. Pöschel, and, S. Luding, Lecture Notes in Physics, Vol. 564 (Springer, Berlin, 2000).
-
(2000)
Lecture Notes in Physics
, vol.564
-
-
Brilliantov, N.V.1
Pöschel, T.2
-
5
-
-
0027389754
-
Kinetics of a one-dimensional granular medium in the quasi-elastic limit
-
S. McNamara and W. R. Young, " Kinetics of a one-dimensional granular medium in the quasi-elastic limit, " Phys. Fluids A 5, 34 (1993).
-
(1993)
Phys. Fluids A
, vol.5
, pp. 34
-
-
McNamara, S.1
-
6
-
-
7444219621
-
Breakdown of hydrodynamics in a one-dimensional system of inelastic particles
-
Y. Du, H. Li, and L. P. Kadanoff, " Breakdown of hydrodynamics in a one-dimensional system of inelastic particles, " Phys. Rev. Lett. 74, 1268 (1995).
-
(1995)
Phys. Rev. Lett.
, vol.74
, pp. 1268
-
-
Du, Y.1
-
7
-
-
0028992020
-
Mechanics of collisional motion of granular materials. Part 1. General hydrodynamic equations
-
A. Goldshtein and M. Shapiro, " Mechanics of collisional motion of granular materials. Part 1. General hydrodynamic equations, " J. Fluid Mech. 282, 75 (1995).
-
(1995)
J. Fluid Mech.
, vol.282
, pp. 75
-
-
Goldshtein, A.1
-
8
-
-
0034343060
-
On some properties of kinetic and hydrodynamics equations for inelastic interactions
-
A. V. Bobylev, J. A. Carrillo, and I. Gamba, " On some properties of kinetic and hydrodynamics equations for inelastic interactions, " J. Stat. Phys. 98, 743 (2000).
-
(2000)
J. Stat. Phys.
, vol.98
, pp. 743
-
-
Bobylev, A.V.1
-
9
-
-
0032185855
-
Hydrodynamics for granular flows at low density
-
J. J. Brey, J. W. Dufty, C. S. Kim, and A. Santos, " Hydrodynamics for granular flows at low density, " Phys. Rev. E 58, 4638 (1998).
-
(1998)
Phys. Rev. e
, vol.58
, pp. 4638
-
-
Brey, J.J.1
-
10
-
-
3042573547
-
Kinetic and hydrodynamic models of nearly elastic granular flows
-
G. Toscani, " Kinetic and hydrodynamic models of nearly elastic granular flows, " Monatsh. Math. 142, 179 (2004).
-
(2004)
Monatsh. Math.
, vol.142
, pp. 179
-
-
Toscani, G.1
-
11
-
-
0021899363
-
Grad's 13-moment system for a dense gas of inelastic spheres
-
J. T. Jenkins and M. W. Richman, " Grad's 13-moment system for a dense gas of inelastic spheres, " Arch. Ration. Mech. Anal. 87, 355 (1985).
-
(1985)
Arch. Ration. Mech. Anal.
, vol.87
, pp. 355
-
-
Jenkins, J.T.1
-
12
-
-
33044483416
-
Kinetic integrals in the kinetic theory of dissipative gases
-
Granular Gas Dynamics, edited by, T. Pöschel, and, N. V. Brilliantov, (Springer, Berlin)
-
N.V. Brilliantov and T. Pöschel, " Kinetic integrals in the kinetic theory of dissipative gases, " in Granular Gas Dynamics, Lecture Notes in Physics, Vol. 624, edited by, T. Pöschel, and, N. V. Brilliantov, (Springer, Berlin, 2003).
-
(2003)
Lecture Notes in Physics
, vol.624
-
-
Brilliantov, N.V.1
Pöschel, T.2
-
13
-
-
0000379964
-
Coefficient of restitution of colliding viscoelastic spheres
-
R. Ramírez, T. Pöschel, N. V. Brilliantov, and T. Schwager, " Coefficient of restitution of colliding viscoelastic spheres, " Phys. Rev. E 60, 4465 (1999).
-
(1999)
Phys. Rev. e
, vol.60
, pp. 4465
-
-
Ramírez, R.1
-
14
-
-
0001640547
-
Self-diffusion in granular gases
-
N. V. Brilliantov and T. Pöschel, " Self-diffusion in granular gases, " Phys. Rev. E 61, 1716 (2000).
-
(2000)
Phys. Rev. e
, vol.61
, pp. 1716
-
-
Brilliantov, N.V.1
-
15
-
-
0008806444
-
Velocity distribution in granular gases of viscoelastic particles
-
N. V. Brilliantov and T. Pöschel, " Velocity distribution in granular gases of viscoelastic particles, " Phys. Rev. E 61, 5573 (2000).
-
(2000)
Phys. Rev. e
, vol.61
, pp. 5573
-
-
Brilliantov, N.V.1
-
16
-
-
0001765405
-
Coefficient of normal restitution of viscous particles and cooling rate of granular gases
-
T. Schwager and T. Pöschel, " Coefficient of normal restitution of viscous particles and cooling rate of granular gases, " Phys. Rev. E 57, 650 (1998).
-
(1998)
Phys. Rev. e
, vol.57
, pp. 650
-
-
Schwager, T.1
-
17
-
-
0022153034
-
The effects of an impact velocity dependent coefficient of restitution on stresses developed by sheared granular materials
-
C. K. K. Lun and S. B. Savage, " The effects of an impact velocity dependent coefficient of restitution on stresses developed by sheared granular materials, " Acta Mech. 63, 15 (1986).
-
(1986)
Acta Mech.
, vol.63
, pp. 15
-
-
Lun, C.K.K.1
-
18
-
-
0037088152
-
Hydrodynamics of granular gases of viscoelastic particles
-
N. V. Brilliantov and T. Pöschel, " Hydrodynamics of granular gases of viscoelastic particles, " Philos. Trans. R. Soc. London, Ser. A 360, 415 (2002).
-
(2002)
Philos. Trans. R. Soc. London, Ser. A
, vol.360
, pp. 415
-
-
Brilliantov, N.V.1
-
19
-
-
42749098018
-
Hydrodynamics and transport coefficients for dilute granular gases
-
N. V. Brilliantov and T. Pöschel, " Hydrodynamics and transport coefficients for dilute granular gases, " Phys. Rev. E 67, 061304 (2003).
-
(2003)
Phys. Rev. e
, vol.67
, pp. 061304
-
-
Brilliantov, N.V.1
-
20
-
-
0036108115
-
Self-similar solutions of the Boltzmann equation and their applications
-
A. V. Bobylev and C. Cercignani, " Self-similar solutions of the Boltzmann equation and their applications, " J. Stat. Phys. 106, 1039 (2002).
-
(2002)
J. Stat. Phys.
, vol.106
, pp. 1039
-
-
Bobylev, A.V.1
-
21
-
-
0037210439
-
Self-similar asymptotics for the Boltzmann equation with inelastic and elastic interactions
-
A. V. Bobylev and C. Cercignani, " Self-similar asymptotics for the Boltzmann equation with inelastic and elastic interactions, " J. Stat. Phys. 110, 333 (2003).
-
(2003)
J. Stat. Phys.
, vol.110
, pp. 333
-
-
Bobylev, A.V.1
-
23
-
-
2542504982
-
Quasi-equilibrium approximation and non-standard expansions in the theory of the Boltzmann kinetic equation
-
New Approaches, edited by, R. G. Khlebopros, (Nauka, Novosibirsk) (in Russian)
-
A.N. Gorban and I.V. Karlin, " Quasi-equilibrium approximation and non-standard expansions in the theory of the Boltzmann kinetic equation, " in Mathematical Modelling in Biology and Chemistry, New Approaches, edited by, R. G. Khlebopros, (Nauka, Novosibirsk, 1992) (in Russian).
-
(1992)
Mathematical Modelling in Biology and Chemistry
-
-
Gorban, A.N.1
Karlin, I.V.2
-
24
-
-
0030534703
-
Moment closure hierarchies for kinetic theories
-
C. D. Levermore, " Moment closure hierarchies for kinetic theories, " J. Stat. Phys. 83, 1021 (1996).
-
(1996)
J. Stat. Phys.
, vol.83
, pp. 1021
-
-
Levermore, C.D.1
-
25
-
-
84980081651
-
On the kinetic theory of rarefied gases
-
H. Grad, " On the kinetic theory of rarefied gases, " Commun. Pure Appl. Math. 2, 331 (1949).
-
(1949)
Commun. Pure Appl. Math.
, vol.2
, pp. 331
-
-
Grad, H.1
-
26
-
-
0036944923
-
Hydrodynamics from Grad's equations: What can we learn from exact solutions
-
A. N. Gorban and I. V. Karlin, " Hydrodynamics from Grad's equations: What can we learn from exact solutions, " Ann. Phys. (N.Y.) 11, 783 (2002).
-
(2002)
Ann. Phys. (N.Y.)
, vol.11
, pp. 783
-
-
Gorban, A.N.1
-
27
-
-
84867964563
-
Fluid-dynamic equations for reacting gas mixtures
-
in press
-
M. Bisi, M. Groppi, and G. Spiga, " Fluid-dynamic equations for reacting gas mixtures, " Appl. Math. (in press).
-
Appl. Math.
-
-
Bisi, M.1
Groppi, M.2
Spiga, G.3
-
28
-
-
33044483962
-
Granular gases - The early stage
-
edited by, M. Rubi, (Springer, Berlin)
-
N.V. Brilliantov and T. Pöschel, " Granular gases - The early stage, " in Coherent Structures in Classical Systems, edited by, M. Rubi, (Springer, Berlin, 2000).
-
(2000)
Coherent Structures in Classical Systems
-
-
Brilliantov, N.V.1
Pöschel, N.V.2
-
29
-
-
0041194642
-
The granular phase diagram
-
S. Esipov and T. Pöschel, " The granular phase diagram, " J. Stat. Phys. 86, 1385 (1997).
-
(1997)
J. Stat. Phys.
, vol.86
, pp. 1385
-
-
Esipov, S.1
-
31
-
-
0033242961
-
Sharp entropy production bounds and explicit rate of trend to equilibrium for the spatially homogeneous Boltzmann equation
-
G. Toscani and C. Villani, " Sharp entropy production bounds and explicit rate of trend to equilibrium for the spatially homogeneous Boltzmann equation, " Commun. Math. Phys. 203, 667 (1999).
-
(1999)
Commun. Math. Phys.
, vol.203
, pp. 667
-
-
Toscani, G.1
-
32
-
-
0037061393
-
High-energy tails for inelastic Maxwell models
-
M. H. Ernst and R. Brito, " High-energy tails for inelastic Maxwell models, " Europhys. Lett. 58, 182 (2002).
-
(2002)
Europhys. Lett.
, vol.58
, pp. 182
-
-
Ernst, M.H.1
-
33
-
-
0008429514
-
Remarks on entropy and equilibrium states
-
G. Toscani, " Remarks on entropy and equilibrium states, " Appl. Math. Lett. 12, 19 (1999).
-
(1999)
Appl. Math. Lett.
, vol.12
, pp. 19
-
-
Toscani, G.1
-
34
-
-
0036011704
-
Grad's distribution functions in the kinetic equations for a chemical reaction
-
M. Bisi, M. Groppi, and G. Spiga, " Grad's distribution functions in the kinetic equations for a chemical reaction, " Continuum Mech. Thermodyn. 14, 207 (2002).
-
(2002)
Continuum Mech. Thermodyn.
, vol.14
, pp. 207
-
-
Bisi, M.1
-
35
-
-
0035534231
-
Shear flow of a granular material
-
C. Cercignani, " Shear flow of a granular material, " J. Stat. Phys. 102, 1407 (2001).
-
(2001)
J. Stat. Phys.
, vol.102
, pp. 1407
-
-
Cercignani, C.1
-
36
-
-
0004094529
-
-
Cambridge University Press, Cambridge
-
T.I. Gombosi, Gaskinetic Theory (Cambridge University Press, Cambridge, 1994).
-
(1994)
Gaskinetic Theory
-
-
Gombosi, T.I.1
-
39
-
-
0003498504
-
-
corrected and enlarged edition prepared by, A. Jeffrey, (Academic, New York)
-
I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series and Products, corrected and enlarged edition prepared by, A. Jeffrey, (Academic, New York, 1980).
-
(1980)
Table of Integrals, Series and Products
-
-
Gradshteyn, I.S.1
Ryzhik, I.M.2
-
40
-
-
0004245694
-
-
Dover, New York
-
Handbook of Mathematical Functions, edited by, M. Abramowitz, and, I. A. Stegun, (Dover, New York, 1965).
-
(1965)
Handbook of Mathematical Functions
-
-
Abramowitz, M.1
Stegun, I.A.2
|