A Multiscale Measure for Mixing and its Applications

Proceedings of the IEEE Conference on Decision and Control

Volumn 3, Issue , 2003, Pages 2314-2321

  Mathew, George ^a   Mezić, Igor ^a   Petzold, Linda ^a  

^a University of California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; ELECTROMAGNETISM; FUNCTIONS; LYAPUNOV METHODS; MATHEMATICAL MODELS; PROBLEM SOLVING;

CHAOTIC MAPS; FLUID MIXING;

CONTROL SYSTEM ANALYSIS;

EID: 1542288881     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (11)

1. H. Aref, Stirring by chaotic advection. Journal of Fluid Mechanics, Vol. 143, 1-21, 1984.
2. J. M. Ottino, The Kinematics of Mixing: Stretching, Chaos and Transport. Cambridge University Press, Cambridge, England 1989.
3. S. Wiggins, Chaotic Transport in Dynamical Systems. New York, 1992.
4. Peter Ashwin, Matthew Nicol and Norman Kirkby, Acceleration of one-dimensional mixing by discontinuous mappings. Physica A 310 (2002) 347-363.
5. Jean-Luc Thiffeault and Stephen Childress, Chaotic mixing in a torus map. Chaos, Vol. 13, No. 2, 502-507, 2003.
6. D. Rothstein, E. Henry and and J. P. Gollub, Persistent patterns in transient chaotic fluid mixing. Nature, 401, 770-772 (21 Oct 1999) Letters to Nature.
7. D. D'Alessandro, M. Dahleh and I. Mezić, Control of Mixing: A Maximum Entropy Approach. IEEE Transactions on Automatic Control 44(1999):1852-1864.
8. A. Lasota, M. Mackey, Chaos, Fractals and Noise, Applied Math Science, Vol. 97, Springer, Berlin, 1994
9. Marion Volpert, Carl Meinhart, Igor Mezić, Mohammed Dahleh, Modeling and numerical analysis of Mixing in an actively controlled micromixer. HEFAT 2002, 1st International Conference on Hear Transfer, Fluid Mechanics, and Thermodynamics, 8-10 April 2002, Kruger Park, South Africa.
10. G. Mathew, R. Serban, I. Mezić, L. Petzold, Optimization of mixing in microdevices. Preprint. Dept. Mechanical and Environmental Eng., Univ. California, Santa Barbara, 2003.
11. Chirikov B. V., A Universal Instability of Many-Dimensional Oscillator Systems. Physics Reports 52, 264-379, 1979.