Multiscale Approaches

Encyclopedia of Mathematical Physics: Five-Volume Set

Volumn , Issue , 2004, Pages 465-482

  Lesne, A ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

MULTI-SCALE APPROACHES;

EID: 85070018425     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B0-12-512666-2/00101-2     Document Type: Chapter

References (16)

1. Auger P, Bravo de la Parra R Methods of aggregation of variables in population dynamics. Comptes Rendus de l'Académie des Sciences, Paris, Life Sciences 2000, 323:665-674.
2. Bensoussan A, Lions JL, Papanicolaou G Asymptotic Analysis for Periodic Structures 1978, North-Holland, Amsterdam.
3. Berdichersky V, Jikov V, Paparieolasu G Homogenization 1999, World Scientific, Singapore.
4. Bocquet L High-friction limit of the Kramers equation: the multiple time-scale approach. American Journal of Physics 1997, 65:140-144.
5. Chen LY, Goldenfeld N, Oono Y Renormalization group and singular perturbations: multiple scales, boundary layers, and reductive perturbation theory. Physical Review E 1996, 54:376-394.
6. Cukier RI, Deutch JM Microscopic theory of Brownian motion: the multiple-time-scale point of view. Physical Review 1969, 177:240-244.
7. Gaveau B, Lesne A, Schulman LS Spectral signatures of hierarchical relaxation. Physics Letters A 1999, 258:222-228.
8. Givon D, Kupferman R, Stuart A Extracting macroscopic dynamics: model problems and algorithms. Nonlinearity 2004, 17:R55-R127.
9. Gorban A, Karlin I, Zinovyev A Constructive methods of invariant manifolds for kinetic problems. Physics Reports 2004, 396:197-403.
10. Haken H Slaving principle revisited. Physica D 1996, 97:95-103.
11. Lesne A Renormalization Methods 1998, Wiley, New York.
12. Lochak P, Meunier C Multiphase Averaging for Classical Systems 1988, Springer, Berlin.
13. Mazzino A, Musacchio S, Vulpiani A Multiple-scale analysis and renormalization for preasymptotic scalar transport. Physical Review E 2004, 71:011113.
14. Murray JD Mathematical Biology 2002, Springer, Berlin. 3rd edn.
15. Nayfeh AH Perturbation Methods 1973, Wiley, New York.
16. Piasecki J Time scales in the dynamics of the Lorentz electron gas. American Journal of Physics 1993, 61:718-722.