Degeneration of effective diffusion in the presence of periodic potential

Serguei M. Kozlov; Andrei L. Piatnitski

Annales de l'I.H.P. Probabilités et statistiques (1996)

  • Volume: 32, Issue: 5, page 571-587
  • ISSN: 0246-0203

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Kozlov, Serguei M., and Piatnitski, Andrei L.. "Degeneration of effective diffusion in the presence of periodic potential." Annales de l'I.H.P. Probabilités et statistiques 32.5 (1996): 571-587. <http://eudml.org/doc/77546>.

@article{Kozlov1996,
author = {Kozlov, Serguei M., Piatnitski, Andrei L.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {small periodic initial diffusion; logarithmic asymptotics},
language = {eng},
number = {5},
pages = {571-587},
publisher = {Gauthier-Villars},
title = {Degeneration of effective diffusion in the presence of periodic potential},
url = {http://eudml.org/doc/77546},
volume = {32},
year = {1996},
}

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
PB - Gauthier-Villars
VL - 32
IS - 5
SP - 571
EP - 587
LA - eng
KW - small periodic initial diffusion; logarithmic asymptotics
UR - http://eudml.org/doc/77546
ER -

References

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  1. [1] A. Bensoussan, J.-L. Lions and G. Papanicolaou, Asymptotic analysis for periodic Structures, North-Holland, Amsterdam, 1978. Zbl0404.35001MR503330
  2. [2] S.M. Kozlov, Reducibility of quasiperiodic operators and homogenization, Transactions of Moscow Math. Soc., Vol. 46, 1983, pp. 99-123. Zbl0566.35036MR737902
  3. [3] S.M. Kozlov and A.L. Piatnitski, Effective diffusion for a parabolic operator with periodic potential, S.I.A.M. Journal Appl. Math., Vol. 53, 1, 1993. Zbl0805.35006MR1212756
  4. [4] S.M. Kozlov and A.L. Piatnitski, Averaging on a background of vanishing viscosity, Math. U.S.S.R. Sbomik, Vol. 70, 1, 1991, pp. 241-261. Zbl0732.35006MR1072299
  5. [5] Ya.B. Zeldovich, 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. Zbl0511.76085MR678165
  6. [6] M. Avellaneda, Enhanced diffusivity and intercell transition layers in 2-D models of passive advection, J. Math. Phys., Vol. 32, 11, 1991, pp. 3209-3212. Zbl0736.76054MR1131710
  7. [7] A. Fannjiang and G. Papanicolaou, Convection enhanced diffusion for periodic flows, S.I.A.M. Journal of Appl. Math. (to appear). Zbl0796.76084MR1265233
  8. [8] S.M. Kozlov, Geometric aspects of homogenization, Russ. Math. Surveys, Vol. 44, 2, 1989, pp. 91-144. Zbl0706.49029MR998362
  9. [9] S.M. Kozlov, Asymptoptics of Laplace-Dirichlet integrals, Functional Analisis and its applications, Vol. 24, 2, 1990, pp. 37-49. Zbl0714.58007MR1069406
  10. [10] S.M. Kozlov, Effective diffusion in the Fokker-Plank equation, Math Notes U.S.S.R. Acad. of Science, Vol. 45, 5, 1989, pp. 19-31. Zbl0687.47039MR1005458
  11. [11] D. Gilbarg and N.S. Trudinger, Elliptic Partial Differential Equations of Second Order, Springer-Verlag, Berlin, 1983. Zbl0562.35001MR737190
  12. [12] A.D. Wentzell and M.I. Freidlin, Fluctuations in Dynamical Systems Caused by Small Random Perturbations, Nauka, Moscow, 1979 (Russian). Zbl0522.60055

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