Emerging Applications of the Nonlinear Schrödinger Equations

February 3 - 7, 2003

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, February 3, 2003

Day 1: Laser propagation in bulk medium

Morning Session

Session Chair: Shi Jin
8:30 - 9:00 Check-In/Light Breakfast (Hosted by IPAM)
9:00 - 10:00
10:00 - 11:00
11:00 - 11:30 Break
11:30 - 12:30
12:30 - 2:00 Lunch (on your own)

Afternoon Session

Session Chair: Pierre-Louis Sulem
2:00 - 3:00
Xiao-Ping Wang (Hong Kong University of Science and Technology)

An adaptive grid method for singular problems and applications

3:00 - 3:30 Break
3:30 - 4:30
4:30 - 5:30
5:30 - 7:00 Wine/Cheese Reception (Hosted by IPAM)

Tuesday, February 4, 2003

Day 2: 2D NLS theory

Morning Session

Session Chair: Catheleen Sulem
9:00 - 10:00
Frank Merle (Universite de Cergy, France)

qualitative description of blow-up for critical NLS

10:00 - 11:00
11:00 - 11:30 Break
11:30 - 12:30
Hayato Nawa (Nagoya University)

 

12:30 - 2:00 Lunch (on your own)

Afternoon Session

Session Chair: Gadi Fibich
2:00 - 3:00
3:00 - 3:30 Break
3:30 - 4:30
4:30 - 5:30
Jared Bronski (University of Illinois at Urbana-Champaign)

Instability and Pattern formation in a nonlocal NLS


Wednesday, February 5, 2003

Day 3: Solitons+communications

Morning Session

Session Chair: Michael Weinstein
9:00 - 10:00
Ziad Musslimani (University of Colorado)

The vector nonlinear Schrödinger equations

10:00 - 11:00
11:00 - 11:30 Break
11:30 - 12:30
Rick Trebino (Georgia Institute of Technology)

Measurements of Ultrafast Continuum Generation in Microstructure Fiber

12:30 - 2:00 Lunch (on your own)

Afternoon Session

Session Chair: George Papanicolaou
2:00 - 3:00
3:00 - 3:30 Break
3:30 - 4:30
Mark Ablowitz (University of Colorado)

Discrete and continuous nonlinear Schrödinger systems

4:30 - 5:30
Peter Markowich (University of Vienna and Radon Institute, Austrian Academy of Science, Linz)

PDE Models for Bose-Einstein Condensation


Thursday, February 6, 2003

Day 4: Solitons+communications (continued)

Morning Session

Session Chair: Mark Ablowitz
9:00 - 10:00
William Kath (Northwestern University)

Simulating rare events in optical transmission systems

10:00 - 11:00
11:00 - 11:30 Break
11:30 - 12:30
Ildar Gabitov (University of Arizona)

Intra-Channel Four Wave Mixing in High Speed Optical Fiber Communications

12:30 - 2:00 Lunch (on your own)

Afternoon Session

Session Chair: Irene Gamba
2:00 - 3:00
3:00 - 3:30 Break
3:30 - 4:30
4:30 - 5:30
Li-Tien Cheng (UCSD) and Hailiang Liu (Iowa State University)

The Level Set Method Applied to the Schrödinger Equation
PDF Presentation
5:30 - 7:00 Dinner (Hosted by IPAM)

Friday, February 7, 2003

Day 5: BEC

Morning Session

Session Chair: Peter Markowich
9:00 - 10:00
Amandine Aftalion (Universite Pierre et Marie Curie, Paris)

Mathematical model for Bose Einstein condensates

10:00 - 11:00
Qiang Du (Pennsylvania State University)

Quantized vortices in Bose-Einstein condensate

11:00 - 11:30 Break
11:30 - 12:30
12:30 - 2:00 Lunch (on your own)

Afternoon Session

Session Chair: Alexander Fetter
2:00 - 3:00
Irene Gamba (University of Texas, Austin)

Quantum Trajectories and the Wigner equation

3:00 - 3:30 Break
3:30 - 4:30
4:30 - 5:30
5:30 Conclusion