University of Toronto
                  PDE/Applied Math/Analysis Seminar
                  Friday 9. November, 1:10-2:00pm
                          6183 Bahen Center    

Speaker:
David Lannes (CNRS Bordeaux and McMaster University) 

Title:
Modified Schrodinger equations for short pulses.

Abstract: 
I will first review various approximations for the solutions of nonlinear
hyperbolic systems with fastly oscillating initial data such as:
the so called envelope, full dispersion, and Schrodinger approximations.
Precise conditions on the range of validity of these models will
be given and the problem of their extension
to short pulses and more generally to large spectrum waves, such as chirped 
pulses will be discussed. A new class of  modified Schrodinger equations 
with improved frequency dispersion will then be derived and rigorously 
justified, and I will show some numerical computations which confirm the 
theoretical predictions.


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University of Toronto PDE/Applied Math/Analysis Seminar 
http://www.math.toronto.edu/appmath/

2007-2008 organizers:
          Walid Abou-Salem      walid@ math.toronto.edu
          Almut Burchard        almut@ math.toronto.edu
          Robert McCann		mccann@ math.toronto.edu
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