Emerging Applications of the Nonlinear Schrödinger Equations

February 3 - 7, 2003

Schedule


Monday, February 3, 2003

9:00 - 10:00
10:00 - 11:00
11:30 - 12:30
2:00 - 3:00
Xiao-Ping Wang (Hong Kong University of Science and Technology)

An adaptive grid method for singular problems and applications

3:30 - 4:30
4:30 - 5:30

Tuesday, February 4, 2003

9:00 - 10:00
Frank Merle (Universite de Cergy, France)

qualitative description of blow-up for critical NLS

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

 

2:00 - 3:00
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

9:00 - 10:00
Ziad Musslimani (University of Colorado)

The vector nonlinear Schrödinger equations

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

Measurements of Ultrafast Continuum Generation in Microstructure Fiber

2:00 - 3:00
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

9:00 - 10:00
William Kath (Northwestern University)

Simulating rare events in optical transmission systems

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

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

2:00 - 3:00
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


Friday, February 7, 2003

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

11:30 - 12:30
2:00 - 3:00
Irene Gamba (University of Texas, Austin)

Quantum Trajectories and the Wigner equation

3:30 - 4:30
4:30 - 5:30