Équation de transport. Théorie spectrale et approximation de la diffusion
Bardos, Claude
Journées équations aux dérivées partielles, (1982), p. 1-10 / Harvested from Numdam
Publié le : 1982-01-01
@article{JEDP_1982____A6_0,
     author = {Bardos, Claude},
     title = {\'Equation de transport. Th\'eorie spectrale et approximation de la diffusion},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     year = {1982},
     pages = {1-10},
     zbl = {0558.35058},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/JEDP_1982____A6_0}
}
Bardos, Claude. Équation de transport. Théorie spectrale et approximation de la diffusion. Journées équations aux dérivées partielles,  (1982), pp. 1-10. http://gdmltest.u-ga.fr/item/JEDP_1982____A6_0/

[1] C. Bardos, R. Santos, R. Sentis : A paraître.

[2] A. Bensoussan, J. L. Lions et G. Papanicolaou : Boundary Layerand homogeneizat of transport process. Publ. R.I.M.S. Kyoto 15 (1979) 53-157. | MR 80i:60122 | Zbl 0408.60100

[3] M. Case et P. Zweifel : Linear transport theory. Addison Wesley, New York 1967 | Zbl 0162.58903

[4] S. Chandrasekhar : Radiative transfer. Dover, New York, 1953.

[5] T. Kato : Perturbation Theory for linear operators. | Zbl 0148.12601

[6] M. G. Krein et M. Rutman : Linear operators leaving invariant a cone in a Banach space. A.M.S. Translation n° 26, 1950. | MR 12,341b

[7] E. Larsen et M. Keller : Asymptotic solution of Neutron transport problem. J. Math. Phys. 15 (1974) 75-81.

[8] J. Lehner et G. Wing : On the spectrum of an asymmetric operator arising in the transport theory of neutrons. Comm. Pure Appl. Math. 8 (1955) 217-234. | MR 16,1120f | Zbl 0064.23004

[9] R. Sentis : Thèse, Paris-Dauphine, 1981.

[10] J. Smul'Yan : Completly continuous perturbation of operators. Dopl. Akad. Nauk. SSSR 101 (1955), 35-38.

[11] I. Vidav : Existence and uniqueness of non negative eigenfunction of the Boltzman operator. Journal of Math. Analysis and Application 22, 144-155 (1968). | MR 37 #6093 | Zbl 0155.19203

[12] A. Weinberg et P. Wigner : The physical theory of neutron chain reactors. University of Chicago Press (1958).