Does a fast mixer really exist?

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 72, Issue 1, 2005, Pages

  Liu, Weijiu ^a  

^a UNIVERSITY OF CENTRAL ARKANSAS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DECAY RATE; DYNAMO THEORY; SINUSOIDAL SHEAR FLOW;

COMPUTER SIMULATION; DIFFUSION; SHEAR FLOW;

MIXERS (MACHINERY);

EID: 27244451774     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.016312     Document Type: Article

References (16)

1. R. T. Pierrehumbert, Chaos, Solitons Fractals CSFOEH 0960-0779 10.1016/0960-0779(94)90139-2 4, 1091 (1994).
2. D. R. Fereday, P. H. Haynes, and A. Wonhas, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.035301 65, 035301 (R) (2002).
3. S. Childress and A. Gilbert, Stretch, Twist, and Fold: The Fast Dynamo (Springer-Verlag, Berlin, 1995).
4. T. M. Antonsen, Z. Fan, E. Ott, and E. Garcia-Lopez, Phys. Fluids PHFLE6 1070-6631 10.1063/1.869083 8, 3094 (1996).
5. V. Toussaint, P. Carriére, J. Scott, and J.-N. Gence, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1290277 12, 2834 (2000).
6. A. Pikovsky and O. Popovych, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-00117-6 61, 625 (2003).
7. M. Giona, S. Cerbelli, and V. Vitacolonna, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S002211200400984X 513, 221 (2004).
8. M. Giona, V. Vitacolonna, S. Cerbelli, and A. Adrover, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.046224 70, 046224 (2004).
9. A. Fannjiang and G. Papanicolaou, SIAM J. Appl. Math. SMJMAP 0036-1399 10.1137/S0036139992236785 54, 333 (1994).
10. A. Wonhas and J. C. Vassilicos, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.051205
11. W. Liu and G. Haller, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(03) 00287-2 188, 1 (2004).
12. R. Pierrehumbert, Chaos CHAOEH 1054-1500 10.1063/1.166476 10, 61 (2000).
13. W. F. Ames, Numerical Methods for Partial Differential Equations, 2nd ed. (Academic, New York, 1977).
14. Erik G. Thompson, Introduction to the Finite Element Method: Theory, Programming and Applications (Wiley, Hoboken, 2005).
15. R. Adams, Sobolev Spaces (Academic, New York, 1975).
16. Andrew J. Majda and Peter R. Kramer, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(98)00083-0 314, 237 (1999).