Couplage Boltzmann/Navier-Stokes

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1. [1] J. F. Bourgat, P. Le Tallec, D. Tidriri, Y. Qiu, "Numerical coupling of nonconservative or kinetik models with the conservative compressible Navier-Stokes equations", Rapport de recherche INRIA no 1426, mai 1991. Zbl0768.76031MR1189593
2. [2] D. Tidriri, "Couplage d'approximations et de modèles de types différents dans le calcul d'écoulements externes", Thèse de doctorat, Université Paris 9, Mai 1992. 
3. [3] J. F. Bourgat, P. Le Tallec, F. Mallinger, B. Perthame, Y. Qiu, "Coulpage Boltzmann Navier-Stokes", Rapport de recherche INRIA no 2281, mai 1994. 
4. [4] C. Cercignni, "Theory and application of the Boltzmann equation", Springer, 1988. Zbl0403.76065
5. [5] M. N. Kogan, "Rarefied gas dynamics", Plenum Press, New-York, 1969. 
6. [6] W. G. Vincenti, C. H. Kruger, "Introdcution to physical gas dynamics", Robert E. Krieger publishing compagny, Florida, 1986. 
7. [7] H. Neunzert, F. Gropengiesser, J. Struckmeier, "Computational methods for the Boltzmann equation", Applied and Industrial Mathematics, Ed. R. Spigler, Kluwer Acad. Publ., Dordrecht, 1991. Zbl0709.76121MR1147194
8. [8] A. Quarteroni, "Domain decompositioppn method for numerical solution of partial differential equations", Report UMSI 90/246, Supercomputer institue, University of Minnesota, Decembre 1990. 
9. [9] P. Le Tallec, "Domain decomposition methods in computational mechanics", Computational mechanics advances, Vol1 No.2, Februar 1994. Zbl0802.73079MR1263805
10. [10] T. Chan, R. Glowinski, J. Periaux, O. Widlund, "eds., Proc. Second int. Symp. on Domain Decomposition Methods for Partial Differential Equations", SIAM, Philadelphia, Los Angeles, CA, January 1988. Zbl0675.00021MR991999
11. [11] F. Gastaldi, A. Quarteroni, G. Sacchi Landriani, "On the coupling of two dimensional Hyperbolic and ellipic equations: Analytical and numerical approach" , , in [10]. Zbl0709.65092
12. [12] F. Gastaldi, L. Gastaldi, "On a domain decomposition approach for the transport equation: theory and finite element approximations", IMA Journal of Numerical Analysis, Vol. 14, 1993. Zbl0792.65071
13. [13] S. Ukai, "Solutions of the Boltzmann equation", In Patterns and Waves, Noth Holland, 1986. Zbl0633.76078MR882376
14. [14] K. Hamdache, "Initial-boundary value problems for the Boltzmann equation: Global existence of weak solution", Arch. Rat. Mech. Anal., 119, 1992. Zbl0777.76084MR1179690
15. [15] R. DiPerna, P. L. Lions, "On the Cauchy problem for the Boltzmann equation: Global existence and weak stability results", Annals of Math., 130, 1990. Zbl0698.45010MR1014927
16. [16] R. DiPerna, P. L. Lions, "Global solution of the Boltzmann equation and entropy inequality", Arch. Rat. Mech. Anal., 114, 1991. Zbl0724.45011MR1088276
17. [17] H. Grad, "On the kinetic theory of rarefied gases" , Comm. Pure Appl. Math., 2, 1949 Zbl0037.13104MR33674
18. [18] Y. Qiu, "Etude des 'equations d'Euler et de Boltzmann et de leur couplage. Application à la simulation numérique d'écoulements hypersoniques de gaz raréfiés.", Thèse, Paris6, 1993. 
19. [19] M. Cessanat, "Théorèmes de trace Lp pour les espaces de fonctions de la neutronique", Note CR. Acad. Sci. Paris, Sér. 1, 299, 1984. Zbl0568.46030
20. [20] M. Cessanat, "Théorèmes de trace pour les espaces de fonctions de la neutronique", Note CR. Acad. Sci.Paris, Sér. 1, 300, 1985. Zbl0648.46028
21. [21] B. Perthame, M. Pulvirenti, "Weighted Lȡ bounds and uniqueness for the Boltzmann BGK model", Arch. Mech. Anal., 125, 1993 Zbl0786.76072MR1245074
22. [22] S. Chapman, T. G. Cowling, "The mathematical theory of non-uniform gases", London, 1952. Zbl0049.26102JFM65.1541.01
23. [23] L. Desvillettes, F. Golse, "Une remarque a propos du developpement de Chapman-Enskog". Zbl0863.76071
24. [24] P. Le Tallec, F. Maliinger, "Couplage Boltzmann Navier-Stokes" Hermes Program 
25. [25] P. Le Tallec, F. Mallinger, "Couplage adaptatif Boltzmann Navier-Stokes en régime raréfié" Hermes Program Zbl0890.76042

1. P. Le Tallec, F. Mallinger, Couplage Boltzmann/Navier-Stokes