Monday, February 03, 2003
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Morning Session
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8:30 - 9:00
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Check-In/Breakfast (Hosted by IPAM)
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9:00 - 10:00
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Alexander Gaeta (Cornell University)
"Spatial and Temporal Dynamics of Nonlinear Wave Collapse"
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10:00 - 11:00
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Alfred Vogel (Medizinisches Laserzentrum Lübeck, Germany)
"Numerical simulations of optical breakdown for cellular laser surgery at nanosecond to femtosecond time scales "
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11:00 - 11:30
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Break
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11:30 - 12:30
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Pierre-Louis Sulem (Obervatoire de la Cote d'Azur)
"Wave collapse in dispersive magnetohydrodynamics: direct simulations and asymptotic modeling"
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12:30 - 2:00
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Lunch (on your own)
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Afternoon Session
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2:00 - 3:00
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Xiao-Ping Wang (Hong Kong University of Science and Technology)
"An adaptive grid method for singular problems and applications"
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3:00 - 3:30
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Break
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3:30 - 4:30
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Boaz Ilan (University of Colorado)
"Self-focusing and multiple filamentation of circularly polarized beams"
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4:30 - 5:30
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Miroslav Kolesik (University of Arizona)
"Unidirectional optical pulse propagation equations - from Maxwell to Nonlinear Schrödinger equation"
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5:30 - 7:00
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Wine/Cheese Reception (Hosted by IPAM)
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Tuesday, February 04, 2003
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Morning Session
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9:00 - 10:00
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Frank Merle (Universite de Cergy, France)
"qualitative description of blow-up for critical NLS"
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10:00 - 11:00
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Gadi Fibich (Tel-Aviv University, Israel)
"Nonlinear Schrödinger equations with fourth-order dispersion"
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11:00 - 11:30
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Break
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11:30 - 12:30
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Hayato Nawa (Nagoya University)
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12:30 - 2:00
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Lunch (on your own)
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Afternoon Session
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2:00 - 3:00
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Semyon Tsynkov (North Carolina State University)
"Backscattering and Nonparaxiality Arrest Collapse of Damped Nonlinear Waves"
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3:00 - 3:30
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Break
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3:30 - 4:30
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Yvan Martel (Ecole Polytechnique, France)
"Blow up phenomenon in the energy space for the critical generalized KdV equation"
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4:30 - 5:30
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Jared Bronski (University of Illinois at Urbana-Champaign)
"Instability and Pattern formation in a nonlocal NLS"
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Wednesday, February 05, 2003
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Morning Session
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9:00 - 10:00
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Ziad Musslimani (University of Colorado)
"The vector nonlinear Schrödinger equations"
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10:00 - 11:00
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George Stegeman (University of Central Florida)
"Optical Experiments with the Discrete Nonlinear Schrödinger Equation"
Presentation (PowerPoint File)
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11:00 - 11:30
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Break
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11:30 - 12:30
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Rick Trebino (Georgia Institute of Technology)
"Measurements of Ultrafast Continuum Generation in Microstructure Fiber"
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12:30 - 2:00
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Lunch (on your own)
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Afternoon Session
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2:00 - 3:00
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Michael Weinstein (Bell Laboratories)
"Selection of the ground state for nonlinear Schrödinger Equations"
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3:00 - 3:30
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Break
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3:30 - 4:30
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Mark Ablowitz (University of Colorado)
"Discrete and continuous nonlinear Schrödinger systems"
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4:30 - 5:30
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Peter Markowich (University of Vienna and Radon Institute, Austrian Academy of Science, Linz)
"PDE Models for Bose-Einstein Condensation"
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Thursday, February 06, 2003
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Morning Session
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9:00 - 10:00
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William Kath (Northwestern University)
"Simulating rare events in optical transmission systems"
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10:00 - 11:00
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Alejandro Aceves (University of New Mexico)
"Pulse dynamics in nonlinear photonic crystal fibers and periodic structures"
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11:00 - 11:30
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Break
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11:30 - 12:30
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Ildar Gabitov (University of Arizona)
"Intra-Channel Four Wave Mixing in High Speed Optical Fiber Communications"
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12:30 - 2:00
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Lunch (on your own)
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Afternoon Session
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2:00 - 3:00
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Jean-Claude Diels (University of New Mexico)
"Spatial-temporal solitons in air --- experimental puzzles, and (too) simple models"
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3:00 - 3:30
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Break
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3:30 - 4:30
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Christopher Jones (Brown University)
"Perturbations of solitary waves in dispersion-managed systems "
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4:30 - 5:30
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Li-Tien Cheng (UCSD) and Hailiang Liu (Iowa State University)
"The Level Set Method Applied to the Schrödinger Equation"
Presentation (PDF File)
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5:30 - 7:00
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Dinner (Hosted by IPAM)
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Friday, February 07, 2003
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Morning Session
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9:00 - 10:00
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Amandine Aftalion (Universite Pierre et Marie Curie, Paris)
"Mathematical model for Bose Einstein condensates"
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10:00 - 11:00
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Qiang Du (Pennsylvania State University)
"Quantized vortices in Bose-Einstein condensate"
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11:00 - 11:30
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Break
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11:30 - 12:30
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Alexander Fetter (Stanford University)
"Stability and Dynamics of Vortices in a Trapped Bose-Einstein Condensate"
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12:30 - 2:00
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Lunch (on your own)
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Afternoon Session
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2:00 - 3:00
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Irene Gamba (University of Texas, Austin)
"Quantum Trajectories and the Wigner equation"
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3:00 - 3:30
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Break
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3:30 - 4:30
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Catherine Sulem (University of Toronto)
"On asymptotic stability of solitary waves for nonlinear
Schrödinger equations"
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4:30 - 5:30
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Alex Gottlieb (Wolfgang Pauli Institute)
"Self-consistent Schroedinger and Liouville-von Neumann equations for material particles"
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5:30
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Conclusion
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