| Born: 1942, Israel |
Academic Qualifications:Ph.D. 1970, Weizmann Institute
Professor 1987.
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Academic Positions:
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Research Interests:
Physics of environmental processes: Nonlinear dynamics, Nonlinear wave equations.Stochastic processes. Irreversible Thermodynamics of heat &mass transfer processes. Solar energy. |
Research Projects:
Normal form analysis of nonlinear processes with or without random forces. Stochastic analysis of light-dark cycles in algae cultivation. |
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Abstracts of Current Research:- Light-dark cycles in algae cultivation: The statistical characteristics of light-dark cycles in algal biotechnology reactors are analyzed with the random motion of algae cells accounted for. Synchromization of the time scales that characterize the motion of algae cells in the reactor with their physiologial time scales leads to incresase of bio-productivity.
- Soliton interactions: Many dynamical systems have approximate soliton solutions. However, the differemce between the equations of the full system and the approximate equations that generate soliton solutions induces soliton interactions. An approach has been developed, in which the interactions can be separated into pure elastic an inelastic interactions. This makes it possible to construct the solutions to the full systems for long times, with the effect of soliton interactions incorporated.
- Nonlinear dynamics: The method of normal forms is employed in the analysisof perturbed integrable nonlinear systems. The freedom in the expansion of the perturbation series is exploited in order to simplify the analysis.
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Publications:- Y. Zarmi. Two-component description of dynamical systems that can be approximated by solitons: The case of the ion acoustic wave equations of plasma physics Physica D 238: 1274-1287 (2009)
- Y. Zarmi. From single- to multiple-soliton solutions of the perturbed KdV equation Physica D 237: 2987-3007 (2008)
- Veksler, A. &Zarmi, Y.. Spontaneously Generated Waves in Perturbed Evolution Equations – A, Veksler & Y. Zarmi Nonlinearity 20: 1-14 (2007)
- Veksler, A. & zarmi, Y.. Freedom in the Expansion and Obstacles to Integrability in Multiple-Soliton Solutions of the Perturbed KdV Equation
Physica D 217: 77-87 (2006)
- Veksler, A. & zarmi, Y.. Wave Interactions and the Analysis of the Perturbed Burgers Equation Physica D 211: 57-73 (2005)
- Veksler, A. & Zarmi Y.. Freedom In the Normal Form Expansion and Obstacles to Asymptotic Integrability: The Perturbed KdV Equation
WSEAS Transactions on Mathematics 3: 560-565 (2004)
- Richmond, A., Cheng-Wu, Z. & Zarmi, Y.. Efficient use of strong light for high Photosynthetic productivity: interrelationships between the optical path, the optimal population density and cell-growth inhibition. Bio-Molecular Engineering. 20: 229-236 (2003)
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Books:- P.B.Kahn & Y. Zarmi, Nonlinear Dynamics: Exploration Through Normal Forms, 400, Wiley, 1998
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| Keywords:Normal Forms, Nonlinear evolution equations, Physics of Environmental Processes, Perturbation Methods, Random Processes. |
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Phones:
- Phone: 972-8-6596920
- Fax: 972-8-6596921
- Home: 972-8-6532202
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