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Course on Wave Propagation

September 8 - December 9, 2003, The Fields Institute

Location: Fields Institute

Description

1. Derivation of canonical equations of mathematical physics.
2. Small amplitude dispersive waves: Basic concepts, the nonlinear Schr\"odinger (NLS) equation as an envelope equation.
3. Structural properties of the NLS equation: Lagrangian and Hamiltonian structure, Noether theorem, invariances and conservation laws
4. The initial value problem: Existence theory, finite-time blowup, Stability/instability of solitary waves; long-time dynamics
5. Analysis of the blow-up: self-similarity; modulation analysis; rate of blow-up.

Schedule

Monday, September 8th, 2003
10:00 to 11:30
No Title Specified
Catherine Sulem, University of Toronto
Location:
Tuesday, September 9th, 2003
11:00 to 12:30
No Title Specified
Catherine Sulem, University of Toronto
Location:
Monday, September 15th, 2003
10:00 to 11:30
No Title Specified
Catherine Sulem, University of Toronto
Location:
Tuesday, September 16th, 2003
11:00 to 12:30
No Title Specified
Catherine Sulem, University of Toronto
Location:
Monday, September 22nd, 2003
10:00 to 11:30
No Title Specified
Catherine Sulem, University of Toronto
Location:
Tuesday, September 23rd, 2003
11:00 to 12:30
No Title Specified
Catherine Sulem, University of Toronto
Location:
Monday, September 29th, 2003
10:00 to 11:30
No Title Specified
Catherine Sulem, University of Toronto
Location:
Tuesday, September 30th, 2003
11:00 to 12:30
No Title Specified
Catherine Sulem, University of Toronto
Location:
Monday, October 6th, 2003
10:00 to 11:30
No Title Specified
Catherine Sulem, University of Toronto
Location:
Monday, October 13th, 2003
10:00 to 11:30
No Title Specified
Catherine Sulem, University of Toronto
Location:
Tuesday, October 14th, 2003
11:00 to 12:30
No Title Specified
Catherine Sulem, University of Toronto
Location:
Monday, October 20th, 2003
10:00 to 11:30
No Title Specified
Catherine Sulem, University of Toronto
Location:
Tuesday, October 21st, 2003
11:00 to 12:30
No Title Specified
Catherine Sulem, University of Toronto
Location:
Monday, October 27th, 2003
10:00 to 11:30
No Title Specified
Catherine Sulem, University of Toronto
Location:
Tuesday, October 28th, 2003
11:00 to 12:30
No Title Specified
Catherine Sulem, University of Toronto
Location:
Monday, November 3rd, 2003
10:00 to 11:30
No Title Specified
Catherine Sulem, University of Toronto
Location:
Tuesday, November 4th, 2003
11:00 to 12:30
No Title Specified
Catherine Sulem, University of Toronto
Location:
Monday, November 10th, 2003
10:00 to 11:30
No Title Specified
Catherine Sulem, University of Toronto
Location:
Tuesday, November 11th, 2003
11:00 to 12:30
No Title Specified
Catherine Sulem, University of Toronto
Location:
Monday, November 17th, 2003
10:00 to 11:30
No Title Specified
Catherine Sulem, University of Toronto
Location:
Tuesday, November 18th, 2003
11:00 to 12:30
No Title Specified
Catherine Sulem, University of Toronto
Location:
Monday, November 24th, 2003
10:00 to 11:30
No Title Specified
Catherine Sulem, University of Toronto
Location:
Tuesday, November 25th, 2003
11:00 to 12:30
No Title Specified
Catherine Sulem, University of Toronto
Location:
Monday, December 1st, 2003
10:00 to 11:30
No Title Specified
Catherine Sulem, University of Toronto
Location:
Tuesday, December 2nd, 2003
11:00 to 12:30
No Title Specified
Catherine Sulem, University of Toronto
Location:
Monday, December 8th, 2003
10:00 to 11:30
No Title Specified
Catherine Sulem, University of Toronto
Location:
Tuesday, December 9th, 2003
11:00 to 12:30
No Title Specified
Catherine Sulem, University of Toronto
Location:
Scheduled as part of

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