Francois Lekien Mechanical & Aerospace Engineering Princeton University Engineering Quadrangle J220 Princeton, NJ 08544

http://www.lekien.com/~francois

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(103k) Curriculum Vitae   (3Mb) Research Plan   (42k) Teaching Statement   (68k) AMS Cover Sheet

Curriculum Vitae

Education Jul 1999 - Mar 2003 Doctor of Philosophy in Control and Dynamical Systems CALIFORNIA INSTITUTE OF TECHNOLOGY Thesis: Time Dependent Dynamical Systems and Geophysical Flows Comittee: J.E. Marsden, R.M. Murray, A. Leonard, G. Haller (MIT), I. Mezic (UCSB) Sep 1996 - Jun 1999 Academic Engineer in Physics and Applied Mathematics ÉCOLE POLYTECHNIQUE -- FREE UNIVERSITY OF BRUSSELS, BELGIUM (ULB) Thesis: Microscopic Chaos, Non-equilibrium States, and Entropy Production in Thermostatized Systems Advisor: G. Nicolis Sep 1994 - Jun 1996 Candidate to the degree of Academic Engineer ÉCOLE POLYTECHNIQUE -- FREE UNIVERSITY OF BRUSSELS, BELGIUM (ULB) Research Interests Nonlinear Dynamical Systems Theory: Mixing, transport, and chaos in aperiodic systems and systems with many degrees of freedom, Lagrangian coherent structures, hyperbolic separation, normal hyperbolicity, solid-fluid interaction, chaotic transport of immerged solid particles. Turbulence: Onset of turbulence in Euler and Navier-Stokes equations, Lagrangian coherent structures in turbulent flows, geometrical description of transport and mixing processes. Flow Control: Separation controllers, multi-vehicle control and formation stability in turbulent flows,optimal deployment of drifting sensors, optimal release of contaminants. Scientific Programming: C, C++, Pascal, Fortran, Python, Java, PHP, concurrent programming. Professional Experience Feb 2004 - Present Research Associate, Mechanical and Aerospace Engineering PRINCETON UNIVERSITY Advisor: N.E. Leonard Apr 2003 - Dec 2003 Postdoctoral Associate, Dept. of Mechanical Engineering MASSACHUSETTS INSTITUTE OF TECHNOLOGY Advisor: G. Haller January 1998 Research Aid in Control and Dynamical Systems CALIFORNIA INSTITUTE OF TECHNOLOGY Advisor: S. Wiggins Jul 1997 - Sep 1997 Research Aid in Quantum Information Theory CALIFORNIA INSTITUTE OF TECHNOLOGY Advisors: N. Cerf and S.E. Koonin Aug 1996 Automotive Air System Designer SOLVAY RESEARCH CENTER Teaching Experience 2003 Teaching Assistant, MASSACHUSETTS INSTITUTE OF TECHNOLOGY Instructor: G. Haller Class: Nonlinear Dynamics and Chaos 2002 Teaching Assistant, CALIFORNIA INSTITUTE OF TECHNOLOGY Instructor: J.E. Marsden Class: Advanced Topics in Geometric Mechanics 2002 Teaching Assistant, CALIFORNIA INSTITUTE OF TECHNOLOGY Instructors: J. Koiller , J.E. Marsden Class: Introduction to Dynamics 2001 Teaching Assistant, CALIFORNIA INSTITUTE OF TECHNOLOGY Instructor: W.-S. Koon Class: Applied Operator Theory 1999 Teaching Assistant, ÉCOLE POLYTECHNIQUE -- FREE UNIVERSITY OF BRUSSELS , BELGIUM Instructor: R. Vanhauwermeiren Class: General Physics Fellowships, Awards and Travel Grants Aug 2005 Junior Oberwolfach Fellowship, NATIONAL SCIENCE FOUNDATION Jan 2005 Travel Support, STATISTICAL AND APPLIED MATHEMATICAL SCIENCES INSTITUTE Jun 2004 Travel Award, 8TH EXPERIMENTAL CHAOS CONFERENCE Jun 2002 Integrative Grad. Education & Research Traineeship, NATIONAL SCIENCE FOUNDATION May 2002 Young Scientist's Travel Award, EUROPEAN GEOSCIENCES UNION May 2001 Keith Runcorn Young Scientist's Travel Award, EUROPEAN GEOSCIENCES UNION Oct 1999 - Jun 2003 Poincar´e Fellowship, BETTY AND GORDON MOORE FELLOWSHIP Sep 1999 - Jun 2000 Research Fellowship for Graduate Studies in the U.S.A. BELGIAN AMERICAN EDUCATION FOUNDATION (BAEF) Jul 1997 - Sep 1997 Summer Undergraduate Research Fellowship (SURF) CALIFORNIA INSTITUTE OF TECHNOLOGY Journal Articles Published S. C. Shadden, F. Lekien, and J. E. Marsden. Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows. Physica D, 212(3-4):271­304, 2005. F. Lekien, C. Coulliette, A. J. Mariano, E. H. Ryan, L. K. Shay, G. Haller, and J. E. Marsden. Pollution release tied to invariant manifolds: A case study for the coast of Florida. Physica D, 210(1­2):1­20, 2005. M. Dellnitz, O. Junge, W.-S. Koon, F. Lekien, M.W. Lo, J.E. Marsden, K. Padberg, R. Preisand, S. Ross, and B. Thiere. Transport in dynamical astronomy and multibody problems. Int. J. of Bifurcation and Chaos, 15(3):699­ 727, 2005. F. Lekien and J. Marsden. Tricubic interpolation in three dimensions. Int. J. for Numerical Methods in Engineering, 63(3):455­471, 2005. F. Lekien, C. Coulliette, R. Bank, and J. E. Marsden. Open-boundary modal analysis: Interpolation, extrapolation, and filtering. J. Geophys. Res. ­ Oceans, 109(Art. No. C12004):1­13, 2004. Journal Articles in Preparation N. E. Leonard, D. A. Paley, F. Lekien, R. Sepulchre, M. Fratantoni, and R. E. Davis. Collective motion, sensor networks and ocean sampling. In Proceedings of the IEEE, Special Issue on Networked Control Systems, submitted, 2005. F. Lekien and G. Haller. Unsteady separation criterion for free-slip walls. Phys. of Fluids, submitted, 2005. F. Lekien, C. Coulliette, G. Haller, J. Paduan, and J. E. Marsden. Optimal polution release in Monterey Bay based on nonlinear analysis of coastal radar data. Environmental Science and Technology, submitted, 2005. F. Lekien. Computation and extraction of Lagrangian coherent structures in time-chaotic flows. Physica D, in preparation, 2005. F. Lekien, S. C. Shadden, and J. E. Marsden. Lagrangian coherent structures in n-dimensional systems. Physica D , submitted, 2005. F. Lekien, T. Insperger, G. Stepan, H. Salman, and G. Haller. Control of separation in two-dimensional flows: Stability and robustness for delayed oscillatory flows. Automatica, submitted, 2005. F. Lekien, S. D. Ross, and P. K. Newton, in preparation, 2005. D. M. Kaplan and F. Lekien. Optimal boundary modal decomposition. J. of Geophys. Res. ­ Oceans, in preparation, 2005. Conference Proceedings P. Bhatta, E. Fiorelli, F. Lekien, N. E. Leonard, D. A. Paley, F. Zhang, R. Bachmayer, R. E. Davis, D. Fratantoni, and R. Sepulchre. Coordination of an underwater fleet for adaptive sampling. In International Workshop on Underwater Robotics , pages 61­69, 2005. P. F. J. Lermusiaux and F. Lekien. Dynamics and Lagrangian coherent structures in the ocean and their uncertainty. In J.E. Marsden and J. Scheurle, editors, Dynamical Systems Methods in Fluid Dynamics, vol. 531, pages 19­20. Mathematisches Forschungsinstitut Oberwolfach, August 2005. T. Insperger, F. Lekien, H. Salman, G. Haller, and G. Stepan. Control of separation in periodic flows including delay effects. In Proc. of IFAC Workshop on Adaptation and Learning in Control and Signa Processing, and IFAC Workshop on Periodic Control Systems, Yokomaha, Japan , vol. ALCOSP/PSYCO 04, pages 451­455, September 2004. F. Lekien and N. E. Leonard. Dynamically consistent lagrangian coherent structures. In Experimental Chaos, vol. 742, pages 132­139. American Institute of Physics, March 2004. F. Lekien, C. Coulliette, and J. E. Marsden. Lagrangian structures in high-frequency radar data and optimal pollution timing. In Experimental Chaos, vol. 676, pages 162­168. American Institute of Physics, March 2003. The articles and the latest version of the preprints listed above are available online at http://www.lekien.com/~francois/publications Selected Invited Seminar Talks 28 Sep 2005 Aerospace & Mechanical Engineering Dept. Seminar, USC, Los Angeles, CA 27 Sep 2005 Computer Science Colloquium, USC, Los Angeles, CA 15 Feb 2005 Control and Dynamical Systems Group Meeting, CALTECH , Pasadena, CA 3 Jan 2005 Joint Review of Unmanned Systems Tech. Devel., ONR, Panama City Beach, FL 26 Apr 2004 Nonlinear Dynamics and Statistical Mechanics Days, ULB, Brussels, Belgium 21 Apr 2004 Applied Science Seminar, ULB, Brussels, Belgium 9 Nov 2004 Civil and Environmental Engineering Dept. Seminar, MIT, Cambridge, MA 31 Jul 2003 Optimal Deploy. of Drifting Acoustic Sensors, Defense Res. Initiative, ONR, Arlington, VA 5 Jun 2003 Seminar on Mechanics, BUDAPEST U. OF TECH. AND ECONOMICS, Budapest, Hungary 7 May 2001 Lefschetz Center for Dynamical Systems Seminar, BROWN U., Providence, RI Selected Conference Talks 20 Feb 2006 Ocean Science Meeting, ALSO, ERF, TOS, AGU JOINT MEETING, Honolulu, HI 23 Jan 2005 Data Assimilation Workshop, STAT. & APPLIED MATH. SCIENCES INST., Raleigh, NC 2 Aug 2005 Dynamical Systems Methods in Fluid Dynamics, MATH. FOR . OBERWOLFACH, Germany 15 Jun 2004 8th Experimental Chaos Conference, OFFICE OF NAVAL RES., Florence, Italy 20 Feb 2004 Ocean Research Conference, ASLO/TOS, Honolulu, HI 31 May 2003 Conference on Applications of Dynamical Systems, SIAM, Snowbird, UT 13 Dec 2002 LAPCOD Meeting, LAG. ANAL. AND PRED. OF COAST. AND OCEAN DYN., Key Largo, FL 28 Aug 2002 7th Experimental Chaos Conference, OFFICE OF NAVAL RES., San Diego, CA 20 Jun 2002 24th Int. Conf. on Math. Geophysics, INT. UN. OF GEODESY AND GEOPHYS., Turin, Italy 25 Apr 2002 27th General Assembly, EUROPEAN GEOPHYSICAL SOCIETY (EGS/AGU), Nice, France 26 Mar 2001 26th General Assembly, EUROPEAN GEOPHYSICAL SOCIETY (EGS/AGU), Nice, France 5 Oct 2000 LAPCOD Meeting, LAG. ANAL. AND PRED. OF COAST. AND OCEAN DYN., Ischia, Italy Apr 2000 25th General Assembly, EUROPEAN GEOPHYSICAL SOCIETY (EGS/AGU), Nice, France Professional Service since Jan 2006 Referee, PHYSICS LETTERS A since Dec 2005 Referee, PHYSICA D: Nonlinear Phenomena since Sep 2005 Referee, JOURNAL OF GEOPHYSICAL RESEARCH Nov 2004 Referee, LAGRANGIAN ANALYSIS AND PREDICTION OF COASTAL AND OCEAN DYNAMICS Jan 2004 - Dec 2005 Visiting Associate, CALIFORNIA INSTITUTE OF TECHNOLOGY since Nov 2003 Referee, JOURNAL OF ATMOSPHERIC AND OCEANIC TECHNOLOGY 31 May 2003 Mini-Symposium Organizer, SIAM CONF ON APPLICATIONS OF DYNAMICAL SYSTEMS Session Title: Dynamical Systems and Geophysical Flows: Future Directions and Challenges Professional Memberships since 2003 Associate Member, SIGMA XI SCIENTIFIC RESEARCH SOCIETY since 2003 Postgraduate Member, SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS since 2002 Regular Member, AMERICAN MATHEMATICAL SOCIETY since 2002 Member, AMERICAN GEOPHYSICAL UNION since 2001 Regular Member, EUROPEAN GEOSCIENCES UNION (EUROPEAN GEOPHYS. SOCIETY) since 1999 A.Ir.Br Member, BELGIAN ROYAL CIVIL ENGINEERING ASSOCIATION References Pr. Jerrold E. Marsden 1, 2, 3 Control and Dynamical Systems California Institute of Technology 1200 East California blvd Pasadena, CA 91125 Phone: 1-626-395-4176 Fax: 1-626-796-8914 Pr. Naomi E. Leonard 1, 3 Mechanical and Aerospace Engineering Princeton University Olden Street Princeton, NJ 08544 Phone: 1-609-258-5129 Fax: 1-609-258-6109 Pr. George Haller 1, 2 Mechanical Engineering Massachusetts Institute of Technology 77, Massachusetts Ave. Room 3-352 Cambridge, MA 02139 Phone: 1-617-452-3064 Fax: 1-617-258-6771 Dr. Wang-Sang Koon 1, 2 Control and Dynamical Systems California Institute of Technology 1200 East California blvd Pasadena, CA 91125 Phone: 1-626-395-3363 Fax: 1-626-796-8914 Pr. Randolph E. Bank 1 Dept. of Mathematics University of California ­ San Diego 9500 Gilman Drive, Dept. 0112, Room 5701 La Jolla, CA 92093-0112 Phone: 1-858-534-4204 Fax: 1-858-534-5273 Pr. Grégoire Nicolis 1 Campus Plaine, CP 231 Université Libre de Bruxelles 55, Franklin Roosevelt blvd Brussels, B-1050 Belgium Phone: +32-2-660-55-35 Fax: +32-2-650-57-67 1 Research skills 2 Teaching skills 3 Student advising

 

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