Exact solutions for nonconservative Broadwell-Boltzmann models

Journal of Physics A: Mathematical and General

Volumn 31, Issue 2, 1998, Pages 671-686

  Cornille, H ^a  

^a CEA SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040843403     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/2/023     Document Type: Article

References (32)

1. Boffi V C, Franceschini V G and Spiga G 1985 Phys. Fluids 28 3232 Boffi V C and Spiga G 1987 TTSP 16 175 For a survey, see Spiga G 1989 Lecture Notes in Mathematics vol 1460, ed G Toscani et al (Berlin: Springer) p 203 and references therein Spiga G 1990 Mod. Math. Meth. Trans. Theory vol 51, ed W Greenberg and J Polewczak p 294 Spiga G, Dudek G and Boffi V C 1989 Discrete Kinetic Theory, Lattice Gases and Hydrodynamics ed R Monaco (Singapore: World Scientific) p 315 Piechor K 1989 Arch. Mech. 41 95 Caraffini G L and Spiga G 1994 TTSP 23 9-25
2. Boffi V C, Franceschini V G and Spiga G 1985 Phys. Fluids 28 3232 Boffi V C and Spiga G 1987 TTSP 16 175 For a survey, see Spiga G 1989 Lecture Notes in Mathematics vol 1460, ed G Toscani et al (Berlin: Springer) p 203 and references therein Spiga G 1990 Mod. Math. Meth. Trans. Theory vol 51, ed W Greenberg and J Polewczak p 294 Spiga G, Dudek G and Boffi V C 1989 Discrete Kinetic Theory, Lattice Gases and Hydrodynamics ed R Monaco (Singapore: World Scientific) p 315 Piechor K 1989 Arch. Mech. 41 95 Caraffini G L and Spiga G 1994 TTSP 23 9-25
3. Boffi V C, Franceschini V G and Spiga G 1985 Phys. Fluids 28 3232 Boffi V C and Spiga G 1987 TTSP 16 175 For a survey, see Spiga G 1989 Lecture Notes in Mathematics vol 1460, ed G Toscani et al (Berlin: Springer) p 203 and references therein Spiga G 1990 Mod. Math. Meth. Trans. Theory vol 51, ed W Greenberg and J Polewczak p 294 Spiga G, Dudek G and Boffi V C 1989 Discrete Kinetic Theory, Lattice Gases and Hydrodynamics ed R Monaco (Singapore: World Scientific) p 315 Piechor K 1989 Arch. Mech. 41 95 Caraffini G L and Spiga G 1994 TTSP 23 9-25
4. Boffi V C, Franceschini V G and Spiga G 1985 Phys. Fluids 28 3232 Boffi V C and Spiga G 1987 TTSP 16 175 For a survey, see Spiga G 1989 Lecture Notes in Mathematics vol 1460, ed G Toscani et al (Berlin: Springer) p 203 and references therein Spiga G 1990 Mod. Math. Meth. Trans. Theory vol 51, ed W Greenberg and J Polewczak p 294 Spiga G, Dudek G and Boffi V C 1989 Discrete Kinetic Theory, Lattice Gases and Hydrodynamics ed R Monaco (Singapore: World Scientific) p 315 Piechor K 1989 Arch. Mech. 41 95 Caraffini G L and Spiga G 1994 TTSP 23 9-25
5. Boffi V C, Franceschini V G and Spiga G 1985 Phys. Fluids 28 3232 Boffi V C and Spiga G 1987 TTSP 16 175 For a survey, see Spiga G 1989 Lecture Notes in Mathematics vol 1460, ed G Toscani et al (Berlin: Springer) p 203 and references therein Spiga G 1990 Mod. Math. Meth. Trans. Theory vol 51, ed W Greenberg and J Polewczak p 294 Spiga G, Dudek G and Boffi V C 1989 Discrete Kinetic Theory, Lattice Gases and Hydrodynamics ed R Monaco (Singapore: World Scientific) p 315 Piechor K 1989 Arch. Mech. 41 95 Caraffini G L and Spiga G 1994 TTSP 23 9-25
6. Boffi V C, Franceschini V G and Spiga G 1985 Phys. Fluids 28 3232 Boffi V C and Spiga G 1987 TTSP 16 175 For a survey, see Spiga G 1989 Lecture Notes in Mathematics vol 1460, ed G Toscani et al (Berlin: Springer) p 203 and references therein Spiga G 1990 Mod. Math. Meth. Trans. Theory vol 51, ed W Greenberg and J Polewczak p 294 Spiga G, Dudek G and Boffi V C 1989 Discrete Kinetic Theory, Lattice Gases and Hydrodynamics ed R Monaco (Singapore: World Scientific) p 315 Piechor K 1989 Arch. Mech. 41 95 Caraffini G L and Spiga G 1994 TTSP 23 9-25
7. Boffi V C, Franceschini V G and Spiga G 1985 Phys. Fluids 28 3232 Boffi V C and Spiga G 1987 TTSP 16 175 For a survey, see Spiga G 1989 Lecture Notes in Mathematics vol 1460, ed G Toscani et al (Berlin: Springer) p 203 and references therein Spiga G 1990 Mod. Math. Meth. Trans. Theory vol 51, ed W Greenberg and J Polewczak p 294 Spiga G, Dudek G and Boffi V C 1989 Discrete Kinetic Theory, Lattice Gases and Hydrodynamics ed R Monaco (Singapore: World Scientific) p 315 Piechor K 1989 Arch. Mech. 41 95 Caraffini G L and Spiga G 1994 TTSP 23 9-25
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10. Platkowski T and Spiga G 1992 Eur. J. Mech. B 11 349-62 Platkowski T and Spiga G 1994 Physica 210A 155 Piechor K and T Platkowski 1996 RW 96-03
11. Gatignol R 1975 Lecture Notes in Physics vol 36 (Berlin: Springer) Cabannes H 1980 The Discrete Bolt Equations (Berkeley, CA:) Platkowski T and Illner R 1988 SIAM Rev. 30 213 Bellomo N and Gustafsson T 1991 Rev. Mod. Phys. 137 Cercignani C 1994 TTSP 23 1
12. Gatignol R 1975 Lecture Notes in Physics vol 36 (Berlin: Springer) Cabannes H 1980 The Discrete Bolt Equations (Berkeley, CA:) Platkowski T and Illner R 1988 SIAM Rev. 30 213 Bellomo N and Gustafsson T 1991 Rev. Mod. Phys. 137 Cercignani C 1994 TTSP 23 1
13. Gatignol R 1975 Lecture Notes in Physics vol 36 (Berlin: Springer) Cabannes H 1980 The Discrete Bolt Equations (Berkeley, CA:) Platkowski T and Illner R 1988 SIAM Rev. 30 213 Bellomo N and Gustafsson T 1991 Rev. Mod. Phys. 137 Cercignani C 1994 TTSP 23 1
14. Gatignol R 1975 Lecture Notes in Physics vol 36 (Berlin: Springer) Cabannes H 1980 The Discrete Bolt Equations (Berkeley, CA:) Platkowski T and Illner R 1988 SIAM Rev. 30 213 Bellomo N and Gustafsson T 1991 Rev. Mod. Phys. 137 Cercignani C 1994 TTSP 23 1
15. Gatignol R 1975 Lecture Notes in Physics vol 36 (Berlin: Springer) Cabannes H 1980 The Discrete Bolt Equations (Berkeley, CA:) Platkowski T and Illner R 1988 SIAM Rev. 30 213 Bellomo N and Gustafsson T 1991 Rev. Mod. Phys. 137 Cercignani C 1994 TTSP 23 1
16. Cornille H 1987 J. Phys. A: Math. Gen. 20 1973 Cornille H 1987 Phys. Lett. 125A 253 for similarity and (1 + 1) solutions of the Broadwell models For general surveys see Cornille H 1989 Partially Integrable Evolution Equations in Physics ed R Conte (Dordrecht: Kluwer) p 39 Cornille H and Platkowski T 1992 Progress in Astronautics and Aeronautics vol 159, ed B Shizgal and D Weaver (AIAA) p 15 For recent papers see Bobylev A V and Spiga G 1994 J. Phys. A: Math. Gen. 27 133 Cornille H and d'Almeida A 1996 J. Math. Phys. 37 5476 Cabannes H 1997 Eur. J. Mech. B 16 and references therein
17. Cornille H 1987 J. Phys. A: Math. Gen. 20 1973 Cornille H 1987 Phys. Lett. 125A 253 for similarity and (1 + 1) solutions of the Broadwell models For general surveys see Cornille H 1989 Partially Integrable Evolution Equations in Physics ed R Conte (Dordrecht: Kluwer) p 39 Cornille H and Platkowski T 1992 Progress in Astronautics and Aeronautics vol 159, ed B Shizgal and D Weaver (AIAA) p 15 For recent papers see Bobylev A V and Spiga G 1994 J. Phys. A: Math. Gen. 27 133 Cornille H and d'Almeida A 1996 J. Math. Phys. 37 5476 Cabannes H 1997 Eur. J. Mech. B 16 and references therein
18. Cornille H 1987 J. Phys. A: Math. Gen. 20 1973 Cornille H 1987 Phys. Lett. 125A 253 for similarity and (1 + 1) solutions of the Broadwell models For general surveys see Cornille H 1989 Partially Integrable Evolution Equations in Physics ed R Conte (Dordrecht: Kluwer) p 39 Cornille H and Platkowski T 1992 Progress in Astronautics and Aeronautics vol 159, ed B Shizgal and D Weaver (AIAA) p 15 For recent papers see Bobylev A V and Spiga G 1994 J. Phys. A: Math. Gen. 27 133 Cornille H and d'Almeida A 1996 J. Math. Phys. 37 5476 Cabannes H 1997 Eur. J. Mech. B 16 and references therein
19. Cornille H 1987 J. Phys. A: Math. Gen. 20 1973 Cornille H 1987 Phys. Lett. 125A 253 for similarity and (1 + 1) solutions of the Broadwell models For general surveys see Cornille H 1989 Partially Integrable Evolution Equations in Physics ed R Conte (Dordrecht: Kluwer) p 39 Cornille H and Platkowski T 1992 Progress in Astronautics and Aeronautics vol 159, ed B Shizgal and D Weaver (AIAA) p 15 For recent papers see Bobylev A V and Spiga G 1994 J. Phys. A: Math. Gen. 27 133 Cornille H and d'Almeida A 1996 J. Math. Phys. 37 5476 Cabannes H 1997 Eur. J. Mech. B 16 and references therein
20. Cornille H 1987 J. Phys. A: Math. Gen. 20 1973 Cornille H 1987 Phys. Lett. 125A 253 for similarity and (1 + 1) solutions of the Broadwell models For general surveys see Cornille H 1989 Partially Integrable Evolution Equations in Physics ed R Conte (Dordrecht: Kluwer) p 39 Cornille H and Platkowski T 1992 Progress in Astronautics and Aeronautics vol 159, ed B Shizgal and D Weaver (AIAA) p 15 For recent papers see Bobylev A V and Spiga G 1994 J. Phys. A: Math. Gen. 27 133 Cornille H and d'Almeida A 1996 J. Math. Phys. 37 5476 Cabannes H 1997 Eur. J. Mech. B 16 and references therein
21. Cornille H 1987 J. Phys. A: Math. Gen. 20 1973 Cornille H 1987 Phys. Lett. 125A 253 for similarity and (1 + 1) solutions of the Broadwell models For general surveys see Cornille H 1989 Partially Integrable Evolution Equations in Physics ed R Conte (Dordrecht: Kluwer) p 39 Cornille H and Platkowski T 1992 Progress in Astronautics and Aeronautics vol 159, ed B Shizgal and D Weaver (AIAA) p 15 For recent papers see Bobylev A V and Spiga G 1994 J. Phys. A: Math. Gen. 27 133 Cornille H and d'Almeida A 1996 J. Math. Phys. 37 5476 Cabannes H 1997 Eur. J. Mech. B 16 and references therein
22. Cornille H 1987 J. Phys. A: Math. Gen. 20 1973 Cornille H 1987 Phys. Lett. 125A 253 for similarity and (1 + 1) solutions of the Broadwell models For general surveys see Cornille H 1989 Partially Integrable Evolution Equations in Physics ed R Conte (Dordrecht: Kluwer) p 39 Cornille H and Platkowski T 1992 Progress in Astronautics and Aeronautics vol 159, ed B Shizgal and D Weaver (AIAA) p 15 For recent papers see Bobylev A V and Spiga G 1994 J. Phys. A: Math. Gen. 27 133 Cornille H and d'Almeida A 1996 J. Math. Phys. 37 5476 Cabannes H 1997 Eur. J. Mech. B 16 and references therein
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