Positive feedback control of Rayleigh-Bénard convection
Publication
, Journal Article
Wagner, BA; Bertozzi, AL; Howle, LE
Published in: Discrete and Continuous Dynamical Systems - Series B
November 1, 2003
We consider the problem of active feedback control of Rayleigh-Bénard convection via shadowgraphic measurement. Our theoretical studies show, that when the feedback control is positive, i.e. is tuned to advance the onset of convection, there is a critical threshold beyond which the system becomes linearly ill-posed so that short-scale disturbances are greatly amplified. Experimental observation suggests that finite size effects become important and we develop a theory to explain these contributions. As an efficient modelling tool for studying the dynamics of such a controlled pattern forming system, we use a Galerkin approximation to derive a dimension reduced model.
Duke Scholars
Published In
Discrete and Continuous Dynamical Systems - Series B
ISSN
1531-3492
Publication Date
November 1, 2003
Volume
3
Issue
4
Start / End Page
619 / 642
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Wagner, B. A., Bertozzi, A. L., & Howle, L. E. (2003). Positive feedback control of Rayleigh-Bénard convection. Discrete and Continuous Dynamical Systems - Series B, 3(4), 619–642.
Wagner, B. A., A. L. Bertozzi, and L. E. Howle. “Positive feedback control of Rayleigh-Bénard convection.” Discrete and Continuous Dynamical Systems - Series B 3, no. 4 (November 1, 2003): 619–42.
Wagner BA, Bertozzi AL, Howle LE. Positive feedback control of Rayleigh-Bénard convection. Discrete and Continuous Dynamical Systems - Series B. 2003 Nov 1;3(4):619–42.
Wagner, B. A., et al. “Positive feedback control of Rayleigh-Bénard convection.” Discrete and Continuous Dynamical Systems - Series B, vol. 3, no. 4, Nov. 2003, pp. 619–42.
Wagner BA, Bertozzi AL, Howle LE. Positive feedback control of Rayleigh-Bénard convection. Discrete and Continuous Dynamical Systems - Series B. 2003 Nov 1;3(4):619–642.
Published In
Discrete and Continuous Dynamical Systems - Series B
ISSN
1531-3492
Publication Date
November 1, 2003
Volume
3
Issue
4
Start / End Page
619 / 642
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics