-
1
-
-
10044233885
-
On blowup for gain-term-only classical and relativistic Boltzmann equations
-
Andreasson H., Calogero S., and Illner R. On blowup for gain-term-only classical and relativistic Boltzmann equations. Math. Methods Appl. Sci. 27 (2004) 2231-2240
-
(2004)
Math. Methods Appl. Sci.
, vol.27
, pp. 2231-2240
-
-
Andreasson, H.1
Calogero, S.2
Illner, R.3
-
2
-
-
0000224209
-
1 for the spatially homogeneous Boltzmann equation
-
1 for the spatially homogeneous Boltzmann equation. Arch. Ration. Mech. Anal. 103 (1988) 151-168
-
(1988)
Arch. Ration. Mech. Anal.
, vol.103
, pp. 151-168
-
-
Arkeryd, L.1
-
4
-
-
0007219031
-
On the Cauchy problem for the nonlinear Boltzmann equation: Global existence, uniqueness and asymptotic behavior
-
Bellomo N., and Toscani G. On the Cauchy problem for the nonlinear Boltzmann equation: Global existence, uniqueness and asymptotic behavior. J. Math. Phys. 26 (1985) 334-338
-
(1985)
J. Math. Phys.
, vol.26
, pp. 334-338
-
-
Bellomo, N.1
Toscani, G.2
-
6
-
-
0001089576
-
On the Cauchy problem for Boltzmann equations: Global existence and weak stability
-
DiPerna R.J., and Lions P.L. On the Cauchy problem for Boltzmann equations: Global existence and weak stability. Ann. of Math. 130 (1989) 321-366
-
(1989)
Ann. of Math.
, vol.130
, pp. 321-366
-
-
DiPerna, R.J.1
Lions, P.L.2
-
7
-
-
33646598396
-
1 and BV-type stability of the Boltzmann equation with external forces
-
1 and BV-type stability of the Boltzmann equation with external forces. J. Differential Equations 227 (2006) 1-28
-
(2006)
J. Differential Equations
, vol.227
, pp. 1-28
-
-
Duan, R.1
Yang, T.2
Zhu, C.3
-
8
-
-
4344643994
-
On the existence of general solutions of the initial-value problem for the nonlinear Boltzmann equation with a cut-off
-
Glikson A. On the existence of general solutions of the initial-value problem for the nonlinear Boltzmann equation with a cut-off. Arch. Ration. Mech. Anal. 45 (1972) 35-46
-
(1972)
Arch. Ration. Mech. Anal.
, vol.45
, pp. 35-46
-
-
Glikson, A.1
-
9
-
-
84980081651
-
On the kinetic theory of rarefied gases
-
Grad H. On the kinetic theory of rarefied gases. Commun. Pure Appl. Math. 2 (1949) 331-407
-
(1949)
Commun. Pure Appl. Math.
, vol.2
, pp. 331-407
-
-
Grad, H.1
-
10
-
-
18144375596
-
Nonlinear functionals of the Boltzmann equation and uniform stability estimates
-
Ha S.-Y. Nonlinear functionals of the Boltzmann equation and uniform stability estimates. J. Differential Equations 215 (2005) 178-205
-
(2005)
J. Differential Equations
, vol.215
, pp. 178-205
-
-
Ha, S.-Y.1
-
11
-
-
4344614225
-
1 stability of the Boltzmann equation for the hard sphere model
-
1 stability of the Boltzmann equation for the hard sphere model. Arch. Ration. Mech. Anal. 173 (2004) 279-296
-
(2004)
Arch. Ration. Mech. Anal.
, vol.173
, pp. 279-296
-
-
Ha, S.-Y.1
-
12
-
-
0007222794
-
Existence in the large and asymptotic behavior for the Boltzmann equation
-
Hamdache K. Existence in the large and asymptotic behavior for the Boltzmann equation. Japan. J. Appl. Math. 2 (1984) 1-15
-
(1984)
Japan. J. Appl. Math.
, vol.2
, pp. 1-15
-
-
Hamdache, K.1
-
13
-
-
34250139505
-
Global existence for a rare gas in an infinite vacuum
-
Illner R., and Shinbrot M. Global existence for a rare gas in an infinite vacuum. Commun. Math. Phys. 95 (1984) 217-226
-
(1984)
Commun. Math. Phys.
, vol.95
, pp. 217-226
-
-
Illner, R.1
Shinbrot, M.2
-
14
-
-
0040943239
-
The Boltzmann equation 1: Uniqueness and local existence
-
Kaniel S., and Shinbrot M. The Boltzmann equation 1: Uniqueness and local existence. Commun. Math. Phys. 58 (1978) 65-84
-
(1978)
Commun. Math. Phys.
, vol.58
, pp. 65-84
-
-
Kaniel, S.1
Shinbrot, M.2
-
15
-
-
0033408149
-
Spatial decay solutions of the Boltzmann equation: converse properties of long time limiting behavior
-
Lu X. Spatial decay solutions of the Boltzmann equation: converse properties of long time limiting behavior. SIAM J. Math. Anal. 30 (1999) 1151-1174
-
(1999)
SIAM J. Math. Anal.
, vol.30
, pp. 1151-1174
-
-
Lu, X.1
-
16
-
-
0031488084
-
Boltzmann equation with infinite energy: Renormalized solutions and distributional solutions for small initial data and initial data close to a Maxwellian
-
Mischler S., and Perthame B. Boltzmann equation with infinite energy: Renormalized solutions and distributional solutions for small initial data and initial data close to a Maxwellian. SIAM J. Math. Anal. 28 (1997) 1015-1027
-
(1997)
SIAM J. Math. Anal.
, vol.28
, pp. 1015-1027
-
-
Mischler, S.1
Perthame, B.2
-
17
-
-
0007286516
-
3: Asymptotic behavior of solutions
-
3: Asymptotic behavior of solutions. J. Stat. Phys. 50 (1988) 611-632
-
(1988)
J. Stat. Phys.
, vol.50
, pp. 611-632
-
-
Polewczak, J.1
-
18
-
-
18844442701
-
Global solution of the Boltzmann equation for rigid spheres and initial data close to a local Maxwellian
-
Palczewski A., and Toscani G. Global solution of the Boltzmann equation for rigid spheres and initial data close to a local Maxwellian. J. Math. Phys. 30 (1989) 2445-2450
-
(1989)
J. Math. Phys.
, vol.30
, pp. 2445-2450
-
-
Palczewski, A.1
Toscani, G.2
-
19
-
-
33746689635
-
-
Y. Sone, Molecular gas dynamics: Theory, Techniques and Applications, Birkhauser (in press)
-
-
-
-
20
-
-
3242782674
-
Global solution of the initial value problem for the Boltzmann equation near a local Maxwellian
-
Toscani G. Global solution of the initial value problem for the Boltzmann equation near a local Maxwellian. Arch. Ration. Mech. Anal. 102 (1988) 231-241
-
(1988)
Arch. Ration. Mech. Anal.
, vol.102
, pp. 231-241
-
-
Toscani, G.1
-
21
-
-
0007365295
-
H-theorem and asymptotic trend of the solution for a rarefied gas in a vacuum
-
Toscani G. H-theorem and asymptotic trend of the solution for a rarefied gas in a vacuum. Arch. Ration. Mech. Anal. 100 (1987) 1-12
-
(1987)
Arch. Ration. Mech. Anal.
, vol.100
, pp. 1-12
-
-
Toscani, G.1
-
22
-
-
0007219529
-
On the nonlinear Boltzmann equation in unbounded domains
-
Toscani G. On the nonlinear Boltzmann equation in unbounded domains. Arch. Ration. Mech. Anal. 95 (1986) 37-49
-
(1986)
Arch. Ration. Mech. Anal.
, vol.95
, pp. 37-49
-
-
Toscani, G.1
-
23
-
-
0037823937
-
A review of mathematical topics in collisional kinetic theory
-
Friedlander S., and Serre D. (Eds)
-
Villani C. A review of mathematical topics in collisional kinetic theory. In: Friedlander S., and Serre D. (Eds). Handbook of Fluid Mechanics (2001)
-
(2001)
Handbook of Fluid Mechanics
-
-
Villani, C.1
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