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References
V. Arnold: Chapitres supplémentaires de la théorie des équations différentielles ordinaires; Mir.
M. Artola: Homogénéisation d'un problème relatif à l'équation de la chaleur non linéaire unidimensionnelle; Note CEA (CELV 15/09/83).
H. Babovski: Math. Methods in the Appl. Sci..
H. Babovski, C. Bardos, T. Platkowski: Diffusion Approximation for a Knudsen Gas in a Thin Domain with Accomodation on the Boundary; preprint.
C. Bardos, R. Santos, R. Sentis: Diffusion Approximation and Computation of the Critical Size of a Transport Operator; Trans; of the AMS, 284, (1984), 617–649.
A. Bensoussan, J.-L. Lions, G; Papanicolaou: Asymptotic Study of Periodic Structures; North Holland.
A. Bensoussan, J.-L. Lions, G. Papanicolaou: Boundary Layers and Homogenization of Periodic Structures; J. Publ. RIMS Kyoto Univ., 15, (1979), 53–157.
J.-B. Bost: Tores invariants des systèmes dynamiques hamiltoniens; Sém. Bourbaki 639; (1984–85).
R. Dautray, J.-L. Lions: Analyse Mathématique et Calcul Numérique pour les Sciences et les Techniques, Vol. III; Masson.
R. Di Perna, P.-L. Lions: Global Weak Solutions of the Vlasov-Maxwell System; Comm. on Pure and Appl. Math., to appear.
R. Di Perna, P.-L. Lions: On the Cauchy Problem for the Boltzmann Equation: Global Existence and Weak Stability Results; Ann. of Math., to appear.
P. Gérard: Moyennisation et régularité 2-microlocale; preprint ENS LMENS 89-01.
P. Gérard: Compacité par compensation et régularité 2 microlocale; Sém EDP Ecole Polytechnique; 1988–89.
P. Gérard, F. Golse: Averaging Results for PDEs under Transversality Assumptions; in preparation.
F. Golse: Remarques sur l'homogénéisation des équations de Transport; C. R. Acad. Sci., 305, (1987), 801–804.
F. Golse: Sur les perturbations de systèmes dynamiques et la méthodes de moyennisation en vitesse des EDP; preprint.
F. Golse: Quelques résultats de moyennisation pour les équations aux dérivées partielles; Rend. del Semin. Matem. di Torino, Fasc. Speziale 1988.
F. Golse: in preparation.
F. Golse, P.-L. Lions, B. Perthame, R. Sentis: Regularity of the Moments of the Solution of a Transport Equation, J. of Funct. Anal., 76, (1988), 110–125.
F. Golse, B. Perthame, R. Sentis: Un résultat de compacité pour les équations de transport et application au calcul de la limite de la valeur propre principale d'un opérateur de transport; C.R. Acad. Sci., 301, (1985), 341–344.
F. Golse, F. Poupaud: Limite fluide des équations de Boltzmann des semi-conducteurs pour une statistique de Femi-Dirac; preprint.
F. Golse, R. Sentis: in preparation.
D. Levermore: Transport in Randomly Mixed Media with Inhomogeneous Anisotropic Statistics; in preparation.
D. Levermore, G. Pomraning, D. Sanzo, J. Wong: Linear Transport Theory in a Random Medium; J. of Math. Phys., 27, (1986), 2526–2536.
D. Levermore, G. Pomraning, J. Wong: Renewal theory for Transport Processes in Binary Statistical Mixtures; J. of Math. Phys., 29, (1988) 995–1004.
F. Murat, L. Tartar
L. Tartar: Compensated Compactness and Applications to Partial Differential Equations; in Nonlinear Analysis and Mechanics, Heriot Watt Symposium, vol IV, R. Knops ed., 136–212, Res. Notes in Math. 39, Pitman, (1979).
L. Tartar: Estimations fines de coefficients homogénéisés; De Giorgi Colloquium, P. Kree ed., Pitman.
R. Sentis: Approximation and Homogenization of a Transport Process; SIAM J. of Appl. Math., 39, (1980), 134–141.
R. Sentis: Study of the Corrector of the Principal Eigenvalue of a Transport Operator; SIAM J. of Appl. Math., (1985), 151–166.
D. Vanderhaegen: Radiative Transfer in Statistically Heterogeneous Mixtures; J. Quant. Spectrosc. and Radiat. Transfer, 36, (1986), 557.
D. Vanderhaegen: Impact of a Mixing Structure on Radiative Transfer in Random Media; J. Quant. Spectrosc. and Radiat. Transfer, 36, (1986), 557
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Golse, F. (1991). Particle transport in nonhomogeneous media. In: Toscani, G., Boffi, V., Rionero, S. (eds) Mathematical Aspects of Fluid and Plasma Dynamics. Lecture Notes in Mathematics, vol 1460. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091366
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DOI: https://doi.org/10.1007/BFb0091366
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