-
1
-
-
84990576599
-
The Milne and Kramers problems for the Boltzmann equation of a hard sphere gas
-
Bardos, C.; Caflisch, R. E.; Nicolaenko, B. The Milne and Kramers problems for the Boltzmann equation of a hard sphere gas. Comm. Pure Appl. Math. 39 (1986), no. 3, 323-352.
-
(1986)
Comm. Pure Appl. Math
, vol.39
, Issue.3
, pp. 323-352
-
-
Bardos, C.1
Caflisch, R.E.2
Nicolaenko, B.3
-
2
-
-
0004205706
-
-
Translated by Stephen G. Brush. Dover, New York
-
Boltzmann, L. Lectures on gas theory. Translated by Stephen G. Brush. Dover, New York, 1964.
-
(1964)
Lectures on gas theory
-
-
Boltzmann, L.1
-
3
-
-
0040330066
-
Sur la theorie de l'equation integre-diffréntielle de Boltzmann
-
Carleman, T. Sur la theorie de l'equation integre-diffréntielle de Boltzmann. Acta Math. 60 (1933), 91-146.
-
(1933)
Acta Math
, vol.60
, pp. 91-146
-
-
Carleman, T.1
-
5
-
-
0003200990
-
The mathematical theory of dilute gases
-
Springer, New York
-
Cercignani, C.; Illner, R.; Pulvirenti, M. The mathematical theory of dilute gases. Applied Mathematical Sciences, 106. Springer, New York, 1994.
-
(1994)
Applied Mathematical Sciences
, vol.106
-
-
Cercignani, C.1
Illner, R.2
Pulvirenti, M.3
-
6
-
-
0001089576
-
On the Cauchy problem for Boltzmann equations: Global existence and weak stability
-
DiPerna, R. J.; Lions, P.-L. On the Cauchy problem for Boltzmann equations: global existence and weak stability. Ann. of Math. (2) 130 (1989), no. 2, 321-366.
-
(1989)
Ann. of Math. (2)
, vol.130
, Issue.2
, pp. 321-366
-
-
DiPerna, R.J.1
Lions, P.-L.2
-
7
-
-
0010032457
-
The first and second fluid approximations to the linearized Boltzmann equation
-
Ellis, R.; Pinsky, M. The first and second fluid approximations to the linearized Boltzmann equation. J. Math. Pures Appl. (9) 54 (1975), 125-156.
-
(1975)
J. Math. Pures Appl. (9)
, vol.54
, pp. 125-156
-
-
Ellis, R.1
Pinsky, M.2
-
8
-
-
0003138434
-
Asymptotic theory of the Boltzmann equation. II
-
Academic, New York
-
Grad, H. Asymptotic theory of the Boltzmann equation. II. Rarefied gas dynamics (Proc. 3rd Internat. Sympos., Palais de l'UNESCO, Paris, 1962), vol. 1, 26-59. Academic, New York, 1963.
-
(1963)
Rarefied gas dynamics (Proc. 3rd Internat. Sympos., Palais de l'UNESCO, Paris, 1962)
, vol.1
, pp. 26-59
-
-
Grad, H.1
-
9
-
-
33846685796
-
-
Grad, H. Singular and nonuniform limits of solutions of the Boltzmann equation. Transport theory (Proc. Sympos. Appl. Math., New York, 1967), SIAM-AMS Proc., 1, 269-308. American Mathematical Society, Providence, R.I., 1969.
-
Grad, H. Singular and nonuniform limits of solutions of the Boltzmann equation. Transport theory (Proc. Sympos. Appl. Math., New York, 1967), SIAM-AMS Proc., vol. 1, 269-308. American Mathematical Society, Providence, R.I., 1969.
-
-
-
-
10
-
-
0003550166
-
Grundzüge einer allgemeinen Theorie der linearen Integralgleichungen
-
chapter 22, Leipzig
-
Hilbert, D. Grundzüge einer allgemeinen Theorie der linearen Integralgleichungen, chapter 22. Chelsea, New York, 1953; reprint of Teubner, Leipzig, 1912.
-
(1912)
Chelsea, New York, 1953; reprint of Teubner
-
-
Hilbert, D.1
-
11
-
-
0040943239
-
The Boltzmann equation. I. Uniqueness and local existence
-
Kaniel, S.; Shinbrot, M. The Boltzmann equation. I. Uniqueness and local existence. Comm. Math. Phys. 58 (1978) no. 1, 65-84.
-
(1978)
Comm. Math. Phys
, vol.58
, Issue.1
, pp. 65-84
-
-
Kaniel, S.1
Shinbrot, M.2
-
13
-
-
0040193736
-
On the fluid-dynamical approximation to the Boltzmann equation at the level of the Navier-Stokes equation
-
Kawashima, S.; Matsumura, A.; Nishida, T. On the fluid-dynamical approximation to the Boltzmann equation at the level of the Navier-Stokes equation. Comm. Math. Phys. 70 (1979), no. 2, 97-124.
-
(1979)
Comm. Math. Phys
, vol.70
, Issue.2
, pp. 97-124
-
-
Kawashima, S.1
Matsumura, A.2
Nishida, T.3
-
14
-
-
0031531481
-
Pointwise convergence to shock waves for viscous conservation laws
-
Liu, T.-P. Pointwise convergence to shock waves for viscous conservation laws. Comm. Pure Appl. Math. 50 (1997), no. 11, 1113-1182.
-
(1997)
Comm. Pure Appl. Math
, vol.50
, Issue.11
, pp. 1113-1182
-
-
Liu, T.-P.1
-
15
-
-
1842591085
-
Boltzmann equation: Micro-macro decompositions and positivity of shock profiles
-
Liu, T.-P.; Yu, S.-H. Boltzmann equation: micro-macro decompositions and positivity of shock profiles. Comm. Math. Phys. 246 (2004), no. 1, 133-179.
-
(2004)
Comm. Math. Phys
, vol.246
, Issue.1
, pp. 133-179
-
-
Liu, T.-P.1
Yu, S.-H.2
-
16
-
-
8744245272
-
The Green's function and large-time behavior of solutions for the one-dimensional Boltzmann equation
-
Liu, T.-P.; Yu, S.-H. The Green's function and large-time behavior of solutions for the one-dimensional Boltzmann equation. Comm. Pure Appl. Math. 57 (2004), no. 12, 1543-1608.
-
(2004)
Comm. Pure Appl. Math
, vol.57
, Issue.12
, pp. 1543-1608
-
-
Liu, T.-P.1
Yu, S.-H.2
-
17
-
-
33751114792
-
Green's function of Boltzmann equation, 3-D waves
-
Liu, T.-P.; Yu, S.-H. Green's function of Boltzmann equation, 3-D waves. Bull. Inst. Math. Acad. Sin. (N.S.) 1 (2006), no. 1, 1-78.
-
(2006)
Bull. Inst. Math. Acad. Sin. (N.S.)
, vol.1
, Issue.1
, pp. 1-78
-
-
Liu, T.-P.1
Yu, S.-H.2
-
18
-
-
5844381969
-
Large time behavior of solutions for general quasilinear hyperbolicparabolic systems of conservation laws
-
Liu, T.-P; Zeng, Y. Large time behavior of solutions for general quasilinear hyperbolicparabolic systems of conservation laws. Mem. Amer. Math. Soc. 125 (1997), no. 599.
-
(1997)
Mem. Amer. Math. Soc
, vol.125
, Issue.599
-
-
Liu, T.-P.1
Zeng, Y.2
-
19
-
-
0000464203
-
Fluid dynamical limit of the nonlinear Boltzmann equation to the level of the compressible Euler equation
-
Nishida, T. Fluid dynamical limit of the nonlinear Boltzmann equation to the level of the compressible Euler equation. Comm. Math. Phys. 61 (1978), no. 2, 119-148.
-
(1978)
Comm. Math. Phys
, vol.61
, Issue.2
, pp. 119-148
-
-
Nishida, T.1
-
21
-
-
0001075743
-
Evaporation and condensation on a plane condensed phase-Numerical analysis of the linearized Boltzmann equation for hard-sphere molecules
-
Sone, Y.; Ohwada, T.; Aoki, K. Evaporation and condensation on a plane condensed phase-Numerical analysis of the linearized Boltzmann equation for hard-sphere molecules. Phys. Fluids A 1 (1989), no. 8, 1398-1405.
-
(1989)
Phys. Fluids A
, vol.1
, Issue.8
, pp. 1398-1405
-
-
Sone, Y.1
Ohwada, T.2
Aoki, K.3
-
22
-
-
0000824099
-
On the existence of global solutions of mixed problem for non-linear Boltzmann equation
-
Ukai, S. On the existence of global solutions of mixed problem for non-linear Boltzmann equation. Proc. Japan Acad. 50 (1974), 179-184.
-
(1974)
Proc. Japan Acad
, vol.50
, pp. 179-184
-
-
Ukai, S.1
-
23
-
-
0009328610
-
Les solutions globales de l'équation de Boltzmann dans l'espace tout entier et dans le demi-espace
-
Ai, A317-A320
-
Ukai, S. Les solutions globales de l'équation de Boltzmann dans l'espace tout entier et dans le demi-espace. C. R. Acad. Sci. Paris Sér. A-B 282 (1976), no. 6, Ai, A317-A320.
-
(1976)
C. R. Acad. Sci. Paris Sér. A-B
, vol.282
, Issue.6
-
-
Ukai, S.1
-
24
-
-
0037901944
-
Nonlinear boundary layers of the Boltzmann equation. I. Existence
-
Ukai, S.; Yang, T.; Yu, S.-H. Nonlinear boundary layers of the Boltzmann equation. I. Existence. Comm. Math. Phys. 236 (2003), no. 3, 373-393.
-
(2003)
Comm. Math. Phys
, vol.236
, Issue.3
, pp. 373-393
-
-
Ukai, S.1
Yang, T.2
Yu, S.-H.3
-
26
-
-
84990671435
-
-
1 asymptotic behavior of compressible, isentropic, viscous 1-D flow. Comm. Pure Appl. Math. 47 (1994), no. 8, 1053-1082.
-
1 asymptotic behavior of compressible, isentropic, viscous 1-D flow. Comm. Pure Appl. Math. 47 (1994), no. 8, 1053-1082.
-
-
-
|