Population dynamics in compressible flows

European Physical Journal: Special Topics

Volumn 204, Issue 1, 2012, Pages 57-73

  Benzi, R ^a   Jensen, M H ^b   Nelson, D R ^c   Perlekar, P ^d,f   Pigolotti, S ^e   Toschi, F ^d  

^a UNIVERSITY OF ROME TOR VERGATA   (Italy)

^b UNIVERSITY OF COPENHAGEN   (Denmark)

^c HARVARD UNIVERSITY   (United States)

^d EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^e UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^f International Collaboration for Turbulence Research   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84859759452     PISSN: 19516355     EISSN: 19516401     Source Type: Journal    
DOI: 10.1140/epjst/e2012-01552-0     Document Type: Article

References (50)

1. W. van Saarloos, Phys. Rep. 386, 29 (2003).
2. O. Hallatschek, K. Korolev, Phys. Rev. Lett. 103, (2009) 108103, and references therein.
3. R. Fisher, Ann. Eugenics 7, 335 (1937).
4. A. Kolmogorov, I. Petrovsky, N. Psicounoff, Moscow, Univ. Bull. Math. 1, 1 (1937).
5. M. Kimura, G. H. Weiss, Genetics 49, 561 (1964).
6. J. F. Crow, M. Kimura, An Introduction to Population Genetics (Blackburn Press, Caldwell, NJ, 2009).
7. For a recent review, K. Korolev, et al., Rev. Mod. Phys. 820, 1691 (2010).
8. B. A. Whitton, M. Potts, The Ecology of Cyanobacteria: Their Diversity in Time and Space (Kluwer, Dordrecht, The Netherlands).
9. F. D'Ovidio, et al., Proc. Natl. Acad. Sci. 107, 18366 (2010) ds (2000).
10. W. J. McKiver, Z. Neufeld, Phys. Rev. E 79, 061902 (2009).
11. F. Peters, C. Marraese, Marine Ecology Progr. Series 205, 291 (2000).
12. F. Toschi, E. Bodenschatz, Annual Rev. Fluid. Mech. 41, 375 (2008).
13. J. Bec, Phys. Fluids 15, L81 (2003).
14. W. M. Durham, E. Ciment, R. Stocker, Phys. Rev. Lett. 106, 238102 (2011).
15. C. Torney, Z. Neufeld, Phys. Rev. Lett. 99, 078101 (2007).
16. P. Klein, G. Lapeyre, Annual Rev. Marine Sci. 1, 357 (2009).
17. K. Mizobota, Saitoh S. I., Shiomoto A., Miyamura T., Shiga N., et al., Prog. Oceanogr. 55, 65 (2002).
18. A. P. Martin, Progr. Ocean. 57, 125 (2003).
19. I. M. Held, R. T. Pierrehumber, S. T. Garner, K. L. Swanson, J. Fluid. Mech. 282, 1 (1995).
20. X. Capet, P. Klein, B. L. Hua, G. Lapeyre, J. C. McWilliams, J. Fluid. Mech. 604, 165 (2008).
21. P. Klein, B. L. Hua, G. Lapeyre, X. Capet, S. Le Gentil, H. Sasaki, J. Phys. Oceanogr. 38 1748 (2008).
22. L. Thomas, A. Tandon, A. Mahadevan, J. Geophys. Res. 177, 17 (2008).
23. R. Benzi, D. R., Nelson, Physica D 238, 2003 (2009).
24. P. Perlekar, R. Benzi, D. R. Nelson, Phys. Rev. Lett. 105, 144501 (2010).
25. S. Pigolotti, R. Benzi, M. H. Jensen, D. R. Nelson, Phys. Rev. Lett. (submitted).
26. A. Kolmogorov, N. Petrovsky, N. Piscounov, Moscow Univ. Math. Bull. 1, 1 (1937).
27. S. Berti, D. Vergni, A. Vulpiani, Europhys. Lett. 83, 54003 (2008).
28. L. Biferale, Annu. Rev. Fluid Mech. 35, 441 (2003).
29. U. Frisch, Turbulence the legacy of A. N. Kolmogorov (Cambridge University Press, Cambridge, 1996).
30. T. Tel, et al., Phys. Reports 413, 91 (2005).
31. A. R. Robinson, Proc. R. Soc. Lond. A453, 2295 (1997).
32. A. R. Robinson, Proc. R. Soc. Lond. A455, 1813 (1999).
33. D. R. Nelson, N. M. Shnerb., Phys. Rev. E. 58, 1383 (1998).
34. K. A. Dahmen, D. R. Nelson, N. M. Shnerb., J. Math. Biol. 41, 1 (2000).
35. N. M. Shnerb, Phys. Rev. E 63, 011906 (2001), and references therein.
36. T. Neicu, A. Pradhan, D. A. Larochelle, A. Kudrolli. Phys. Rev. E. 62 1059 (2000).
37. O. Hallatschek, D. R. Nelson, Theor. Popul. Biology 73, 158 (2007).
38. J. R. Cressman, et al., Europhys. Lett. 66, 219 (2004).
39. G. Boffetta, et al., Phys. Rev. Lett. 93, 134501 (2004).
40. J. ichi Wakita, et al., J. Phys. Soc. Jpn. 63, 1205 (1994).
41. R. Benzi, D. Nelson, Physica D 238, 2003 (2009).
42. G. Boffetta, J. Davoudi, B. Eckhardt, J. Schumacher, Phys. Rev. Lett. 93, 134501 (2004).
43. J. Bec, Phys. Fluids 15, L81 (2003).
44. J. Bec, J. Fluid Mech. 528, 255 (2005).
45. G. Falkovich, K. Gawedzki, M. Vergassola, Rev. Mod. Phys. 73, 914 (2001).
46. O. Hallatschek, D. Nelson, Proc. Natl. Acad. Sci. 104, 19926 (2007).
47. W. McKiver, Z. Neufeld, Phys. Rev. E 79, 061902 (2009).
48. A. Martin, Prog. Oceanography 57, 125 (2003).
49. A. Kurganov, E. Tadmor, J. Comp. Phys. 160, 241 (2000).
50. J. Mannik, et al., Proc. Natl. Acad. Sci. 35, 14861 (2009).