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Applied Mathematics & Optimization

Volumn 3, Issue 1, 1976, Pages 27-49

On the Broadwell model of the Boltzmann equation for a simple discrete velocity gas

(2) Inoue, Kiyoshi a Nishida, Takaaki b

a FUJITSU LABORATORIES LTD (Japan)

b KYOTO UNIVERSITY (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

GASES;

EID: 0017271329 PISSN: 00954616 EISSN: 14320606 Source Type: Journal
DOI: 10.1007/BF02106189 Document Type: Article

Times cited : (33)

References (20)

1
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- Shock structure in a simple discrete velocity gas
- (1964) Phys. of Fluids , vol.7 , pp. 1243-1247
- Broadwell, J.E.¹

2
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- Limit theorems for model Boltzmann equations with several conserved quantities
- (1973) Indiana University Mathematics Journal , vol.23 , pp. 287-307
- Ellis, R.S.¹ Pinsky, M.A.²

3
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- M. G. Crandall and L. Tartar, private communication on the Broadwell model (1975).

4
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- J. Glimm and P. D. Lax, Decay of solutions of systems of nonlinear hyperbolic conservation laws, Memo. Amer. Math. Soc., No. 101, Providence, Amer. Math. Soc. (1970).

5
- 0002440002
- On the discrete models of kinetic equation of Boltzmann
- (1971) Uspekhi Mat. Nauk , vol.26 , pp. 3-51
- Godunov, S.K.¹ Sultangazin, U.M.²

6
- 84933141351
- H. Grad, Asymptotic equivalence of the Navier-Stokes and nonlinear Boltzmann equations, Proc. Sympo. in Appl. Math. AMS, XVII, Providence, Amer. Math. Soc. (1965) 154–183.

7
- 84933141349
- K. Inoue, On the Boltzmann equation and the Broadwell model of Boltzmann equation for a simple discrete velocity gas, Mastership thesis at Kyoto University (1975).

8
- 0003862232
- Springer-Verlag, New York
- (1966) Perturbation Theory for Linear Operators
- Kato, T.¹

9
- 0004293156
- Academic Press, New York
- (1969) Theory of Matrices
- Lancaster, P.¹

10
- 84980077727
- Hyperbolic systems of conservation laws II
- (1957) Communications on Pure and Applied Mathematics , vol.10 , pp. 537-556
- Lax, P.D.¹

11
- 33750483511
- Development of singularities of solutions of nonlinear hyperbolic partial differential equations
- (1964) J. Math. Phys. , vol.5 , pp. 611-613
- Lax, P.D.¹

12
- 0040961909
- Équations et systèmes nonlinéaires, hyperboliques nonstricts
- (1967) Math. Annalen , vol.170 , pp. 167-205
- Leray, J.¹ Ohya, Y.²

13
- 84933141370
- A. Matsumura, On the asymptotic behavior of solutions of semilinear wave equations, to appear in Publ. Res. Inst. Math. Sci., Kyoto Univ.

14
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- The central limit theorem for Carleman's equation
- (1975) Israel J. of Math , vol.21 , pp. 54-92
- McKean, H.P.¹

15
- 84972536320
- An abstract form of the nonlinear Cauchy-Kowalewski theorem
- (1972) J. Diff. Geometry , vol.6 , pp. 561-576
- Nirenberg, L.¹

16
- 84933141369
- T. Nishida, A note on the Nirenberg's theorem as an abstract form of the nonlinear Cauchy-Kowalewski theorem in a scale of Banach spaces, to appear in J. Diff. Geometry.

17
- 0009143108
- On the Broadwell's model for a simple discrete velocity gas
- (1974) Proceedings of the Japan Academy , vol.50 , pp. 812-817
- Nishida, T.¹ Mimura, M.²

18
- 0012091295
- Global solutions to the Broadwell's model of Boltzmann equation for a simple discrete velocity gas
- H., Araki, Springer-Verlag, New York
- (1975) Lecture Notes in Physics, 39, Proc. Sympo. M⋂ø, Kyoto Univ., 1975 , pp. 408-412
- Nishida, T.¹ Mimura, M.²

19
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- A nonlinear Cauchy problem in a scale of Banach spaces
- (1971) Dokl. Akad. Nauk SSSR , vol.200 , pp. 789-792
- Ovsjannikov, L.V.¹

20
- 0000824099
- On the existence of global solutions of mixed problem for nonlinear Boltzmann equation
- (1974) Proceedings of the Japan Academy , vol.50 , pp. 179-184
- Ukai, S.¹

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