Couplage Boltzmann/Navier-Stokes
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 46 (1994), Exposé no. 4, 25 p. 
@article{RCP25_1994__46__81_0,
     author = {Le Tallec, P. and Mallinger, F.},
     title = {Couplage {Boltzmann/Navier-Stokes}},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     note = {talk:4},
     pages = {81--105},
     publisher = {Institut de Recherche Math\'ematique Avanc\'ee - Universit\'e Louis Pasteur},
     volume = {46},
     year = {1994},
     language = {fr},
     url = {http://www.numdam.org/item/RCP25_1994__46__81_0/}
}
TY  - JOUR
AU  - Le Tallec, P.
AU  - Mallinger, F.
TI  - Couplage Boltzmann/Navier-Stokes
JO  - Les rencontres physiciens-mathématiciens de Strasbourg -RCP25
N1  - talk:4
PY  - 1994
SP  - 81
EP  - 105
VL  - 46
PB  - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
UR  - http://www.numdam.org/item/RCP25_1994__46__81_0/
LA  - fr
ID  - RCP25_1994__46__81_0
ER  - 
%0 Journal Article
%A Le Tallec, P.
%A Mallinger, F.
%T Couplage Boltzmann/Navier-Stokes
%J Les rencontres physiciens-mathématiciens de Strasbourg -RCP25
%Z talk:4
%D 1994
%P 81-105
%V 46
%I Institut de Recherche Mathématique Avancée - Université Louis Pasteur
%U http://www.numdam.org/item/RCP25_1994__46__81_0/
%G fr
%F RCP25_1994__46__81_0
Le Tallec, P.; Mallinger, F. Couplage Boltzmann/Navier-Stokes. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 46 (1994), Exposé no. 4, 25 p. http://www.numdam.org/item/RCP25_1994__46__81_0/

[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. | MR | Zbl

[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] 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] C. Cercignni, "Theory and application of the Boltzmann equation", Springer, 1988. | Zbl

[5] M. N. Kogan, "Rarefied gas dynamics", Plenum Press, New-York, 1969.

[6] W. G. Vincenti, C. H. Kruger, "Introdcution to physical gas dynamics", Robert E. Krieger publishing compagny, Florida, 1986.

[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. | MR | Zbl

[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] P. Le Tallec, "Domain decomposition methods in computational mechanics", Computational mechanics advances, Vol1 No.2, Februar 1994. | MR | Zbl

[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. | MR | Zbl

[11] F. Gastaldi, A. Quarteroni, G. Sacchi Landriani, "On the coupling of two dimensional Hyperbolic and ellipic equations: Analytical and numerical approach" , , in [10]. | Zbl

[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. | Zbl

[13] S. Ukai, "Solutions of the Boltzmann equation", In Patterns and Waves, Noth Holland, 1986. | MR | Zbl

[14] K. Hamdache, "Initial-boundary value problems for the Boltzmann equation: Global existence of weak solution", Arch. Rat. Mech. Anal., 119, 1992. | MR | Zbl

[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. | MR | Zbl

[16] R. Diperna, P. L. Lions, "Global solution of the Boltzmann equation and entropy inequality", Arch. Rat. Mech. Anal., 114, 1991. | MR | Zbl

[17] H. Grad, "On the kinetic theory of rarefied gases" , Comm. Pure Appl. Math., 2, 1949 | MR | Zbl

[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, Paris 6, 1993.

[19] M. Cessanat, "Théorèmes de trace Lp pour les espaces de fonctions de la neutronique", Note CR. Acad. Sci. Paris, Sér. 1, 299, 1984. | Zbl

[20] M. Cessanat, "Théorèmes de trace pour les espaces de fonctions de la neutronique", Note CR. Acad. Sci. Paris, Sér. 1, 300, 1985. | Zbl

[21] B. Perthame, M. Pulvirenti, "Weighted L ∞ bounds and uniqueness for the Boltzmann BGK model", Arch. Mech. Anal., 125, 1993 | MR | Zbl

[22] S. Chapman, T. G. Cowling, "The mathematical theory of non-uniform gases", London, 1952. | JFM | Zbl

[23] L. Desvillettes, F. Golse, "Une remarque a propos du developpement de Chapman-Enskog".

[24] P. Le Tallec, F. Maliinger, "Couplage Boltzmann Navier-Stokes" Hermes Program

[25] P. Le Tallec, F. Mallinger, "Couplage adaptatif Boltzmann Navier-Stokes en régime raréfié" Hermes Program