Heat transfer in convective turbulence

Nonlinearity

Volumn 9, Issue 4, 1996, Pages 1049-1060

  Constantin, Peter ^a   Doering, Charles R ^b,c  

^a UNIVERSITY OF CHICAGO   (United States)

^b CENTER FOR NONLINEAR STUDIES   (United States)

^c UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0013415879     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/9/4/013     Document Type: Article

References (21)

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3. Busse F H 1969 J. Fluid Mech. 37 457
4. Howard L H 1972 Ann. Rev. Fluid Dyn. 4 473
5. Busse F H 1970 J. Fluid Mech. 41 219
6. Hopf E 1941 Math. Annalen 117 764
7. Doering C R and Constantin P 1992 Phys. Rev. Lett. 69 1648
8. Doering C R and Constantin P 1994 Phys. Rev. E 49 4087
9. Constantin P and Doering C R 1995 Phys. Rev. E 51 3192
10. Constantin P and Doering C R 1995 Physica D 82 221
11. Doering C R and Constantin P 1996 Phys. Rev. E (in press)
12. Hale J 1988 Asymptotic Behavior of Dissipative Systems (Providence, RI: American Mathematical Society)
13. Témam R 1988 Infinite-Dimensional Dynamical Systems in Mechanics and Physics (New York: Springer)
14. Constantin P, Foias C, Nicolaenko B and Témam R 1988 Integral and Inertial Manifolds for Dissipative Partial Differential Equations (New York: Springer)
15. Joseph D 1976 Stability of Fluid Motions (Berlin: Springer)
16. Straughan B 1992 The Energy Method, Stability and Nonlinear Convection (Berlin: Springer)
17. Heslot F, Castaing B and Libchaber A 1987 Phys. Rev. A 36 5870
18. DeLuca E, Werne J and Rosner R 1990 Phys. Rev. Lett. 64 2370
19. For a review, see: Siggia E 1994 Ann. Rev. Fluid Mech. 26 137
20. Evans L C and Gariepy R F 1992 Measure Theory and Fine Properties of Functions (Studies in Advanced Mathematics) (Boca Raton, FL: CRC Press)
21. Constantin P and Procaccia I 1994 Nonlinearity 7 1045