Nonlinear Dynamics

Active Faculty:

Philip Marcus

Andrew Szeri bubble dynamics, shock formation, control, dynamics and pattern formation of microstructure in flow

Publications:

• Youssef A., Marcus P.S., The dynamics of jovian white ovals from formation to merger, ICARUS 162 (1): 74-93, 2003.
• Reddy A.J., Szeri A.J., Coupled dynamics of translation and collapse of acoustically driven microbubbles
  J. Acoustical Society of America 112 (4): 1346-1352, 2002.
• Lin, H. & Szeri, A. J. Shock formation in the presence of entropy gradients. Journal of Fluid Mechanics, 2001, vol. 431: 161-188.
• Moss, W. C., Levatin, J. L. & Szeri, A. J. A new damping mechanism in strongly collapsing bubbles. Proceedings of the Royal Society of London, 2000, vol. 456: 2983-2994.
• Marcus, P.S., Kundu, T. & Lee, C. Vortex dynamics and zonal flows. Physics of Plasmas, 2000, vol. 7:1630-1640.
• Vuong, V.Q., Szeri, A.J. & Young, D.A. Shock formation within sonoluminescence bubbles, Physics of Fluids, 1999, vol. 11(1): 10-17.
• Fyrillas, M.M. & Szeri, A.J. Control of ultra- and subharmonic resonances. Journal of Nonlinear Science, 1998, vol.8: 131-159.
• Szeri, A.J. Exploitation of Brownian motions for the optimal control of fiber orientation distributions. Physics of Fluids, June 1996, vol.8, (no.6):1384-8.
• Szeri, A.J. & Lin, D.J. A deformation tensor model of Brownian suspensions of orientable particles-the nonlinear dynamics of closure models. Journal of Non-Newtonian Fluid Mechanics, May 1996, vol.64, (no.1):43-69.
• Szeri, A.J. & Leal, L.G. Orientation dynamics and stretching of particles in unsteady, three-dimensional fluid flows: unsteady attractors. Chaos, Solitons and Fractals, June 1994, vol.4, (no.6):913-27.
• Szeri, A.J. Pattern formation in recirculating flows of suspensions of orientable particles. Philosophical Transactions of the Royal Society of London A, 1993, vol.345: 477-506.
• Szeri, A.J., Milliken, W.J. & Leal, L.G. Rigid particles suspended in time-dependent flows: irregular versus regular motion, disorder vs. order. Journal of Fluid Mechanics, 1992, vol.237:33-56.
• Coughlin, K. & Marcus, P.S. Modulated waves in Taylor-Couette flow. 1. Analysis. Journal of Fluid Mechanics, 1992, vol.234: 1-18.
• Coughlin, K. & Marcus, P.S. Modulated waves in Taylor-Couette flow. 2. Numerical simulation. Journal of Fluid Mechanics, 1992, vol.234: 19-46.
• Szeri, A.J. & Leal, L.G. The onset of chaotic oscillations and subcritical cavitation of a spherical bubble in an incompressible liquid. Physics of Fluids A, 1991, vol.3(4): 551-555.
• Hamakiotes, C.C. & Berger, S.A. Periodic flows through curved tubes: The effect of the frequency parameter. Journal of Fluid Mechanics, 1990, vol.210: 353-370.

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