Chapter 7 Effective diffusion in vanishing viscosity

Studies in Mathematics and its Applications

Volumn 31, Issue C, 2002, Pages 133-145

  Campillo, F ^a   Piatnitski, A ^b,c  

^a INRIA   (France)

^b UNIVERSITY OF TROMSØ   (Norway)

^c LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77957235846     PISSN: 01682024     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0168-2024(02)80008-X     Document Type: Chapter

References (16)

1. Avellaneda M., and Majda A.J. Mathematical models with exact renormalization for turbulent transport. Communications in Mathematical Physics 131 (1990) 381-429
2. Avellaneda M., and Majda A.J. Superdiffusion in nearly stratified flows. J. Stat. Phys. 69 3-4 (1992) 689-729
3. Avellaneda M., and Majda A.J. Application of an approximate R-N-G theory, to a model for turbulent transport, with exact renormalization. In: Sell G.R., et al. (Ed). Turbulence in fluid flows. A dynamical systems approach. The IMA volumes in Mathematics and its Applications (1993), Springer Verlag, New York 1-31
4. Avellaneda M., and Majda A.J. Simple examples with features of renormalization for turbulent transport. Phil. Trans. R. Soc. Lond. A 346 (1994) 205-233
5. Bear J.J. Dynamics of Fluids in Porous Media (1972), Elsevier, New York
6. Belyaev A.Yu., and Efendiev Ya.R. Homogenization of the stokes equations with a random potential. Math. Notes 59 4 (1996) 361-372
7. Bensoussan A., Lions J.L., and Papanicolaou G. Asymptotic Analysis for Periodic Structures. Studies in Mathematics and its Applications volume 5 (1978), North-Holland
8. R.A. Carmona and L. Xu, Homogenization for time dependent 2-D incompressible Gaussian flows. Preprint.
9. A. Fannjiang and G. Papanicolaou, Convection enhanced diffusion for periodic flows. SIAM Journal on Applied Mathematics, 54:333-408
10. Fannjiang A., and Papanicolaou G. Diffusion in turbulence. Probability Theory and Related Fields 105 (1994) 279-334
11. Fried J. Groundwater Pollution (1975), Elsevier, Amsterdam
12. Jikov V.V., Kozlov S.M., and Oleinik O.A. Homogenization of Differential Operators and Integral Functionals (1994), Springer Verlag
13. Kesten H. Percolation Theory for Mathematicians. Progress in Probability volume 2 (1982), Birkhäuser, Boston
14. Kozlov S. Geometric aspects of homogenization. Russian Mathematical Surveys 44 2 (1989) 91-144
15. Kozlov S.M., and Pyatnitskii A.L. Averaging on a background of vanishing viscosity. Math. USSR Sbornik 70 1 (1991) 241-261
16. Pyatnitski A.L., and Kozlov S.M. Homogenization and vanishing viscosity. In: Grigelionis B. (Ed). Probability Theory and Mathematical Statistics. Proc. Fifth Vilnius Conference (1989-1990), VSP/Mokslas 330-339