@article{AIHPB_1996__32_5_571_0,
author = {Kozlov, Serguei M. and Piatnitski, Andrei L.},
title = {Degeneration of effective diffusion in the presence of periodic potential},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
pages = {571--587},
year = {1996},
publisher = {Gauthier-Villars},
volume = {32},
number = {5},
mrnumber = {1411272},
zbl = {0888.35013},
language = {en},
url = {https://www.numdam.org/item/AIHPB_1996__32_5_571_0/}
}
TY - JOUR AU - Kozlov, Serguei M. AU - Piatnitski, Andrei L. TI - Degeneration of effective diffusion in the presence of periodic potential JO - Annales de l'I.H.P. Probabilités et statistiques PY - 1996 SP - 571 EP - 587 VL - 32 IS - 5 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPB_1996__32_5_571_0/ LA - en ID - AIHPB_1996__32_5_571_0 ER -
%0 Journal Article %A Kozlov, Serguei M. %A Piatnitski, Andrei L. %T Degeneration of effective diffusion in the presence of periodic potential %J Annales de l'I.H.P. Probabilités et statistiques %D 1996 %P 571-587 %V 32 %N 5 %I Gauthier-Villars %U https://www.numdam.org/item/AIHPB_1996__32_5_571_0/ %G en %F AIHPB_1996__32_5_571_0
Kozlov, Serguei M.; Piatnitski, Andrei L. Degeneration of effective diffusion in the presence of periodic potential. Annales de l'I.H.P. Probabilités et statistiques, Tome 32 (1996) no. 5, pp. 571-587. https://www.numdam.org/item/AIHPB_1996__32_5_571_0/
[1] , and , Asymptotic analysis for periodic Structures, North-Holland, Amsterdam, 1978. | Zbl | MR
[2] , Reducibility of quasiperiodic operators and homogenization, Transactions of Moscow Math. Soc., Vol. 46, 1983, pp. 99-123. | Zbl | MR
[3] and , Effective diffusion for a parabolic operator with periodic potential, S.I.A.M. Journal Appl. Math., Vol. 53, 1, 1993. | Zbl | MR
[4] and , Averaging on a background of vanishing viscosity, Math. U.S.S.R. Sbomik, Vol. 70, 1, 1991, pp. 241-261. | Zbl | MR
[5] , Exact solution of a diffusion problem in a periodic velocity field and turbulent diffusion, Dokl. Akad. Nauk U.S.S.R., Vol. 266, 1982, pp. 821-826. | Zbl | MR
[6] , Enhanced diffusivity and intercell transition layers in 2-D models of passive advection, J. Math. Phys., Vol. 32, 11, 1991, pp. 3209-3212. | Zbl | MR
[7] and , Convection enhanced diffusion for periodic flows, S.I.A.M. Journal of Appl. Math. (to appear). | Zbl | MR
[8] , Geometric aspects of homogenization, Russ. Math. Surveys, Vol. 44, 2, 1989, pp. 91-144. | Zbl | MR
[9] , Asymptoptics of Laplace-Dirichlet integrals, Functional Analisis and its applications, Vol. 24, 2, 1990, pp. 37-49. | Zbl | MR
[10] , Effective diffusion in the Fokker-Plank equation, Math Notes U.S.S.R. Acad. of Science, Vol. 45, 5, 1989, pp. 19-31. | Zbl | MR
[11] and , Elliptic Partial Differential Equations of Second Order, Springer-Verlag, Berlin, 1983. | Zbl | MR
[12] and , Fluctuations in Dynamical Systems Caused by Small Random Perturbations, Nauka, Moscow, 1979 (Russian).





