
THE
FIELDS INSTITUTE FOR RESEARCH IN MATHEMATICAL SCIENCES
20th
ANNIVERSARY
YEAR 
Fields Institute
Colloquium/Seminar in Applied Mathematics


Organizing
Committee:

Jim
Colliander (U of Toronto)
Walter Craig (McMaster)
Catherine Sulem (U of Toronto)

Robert McCann (U of Toronto)
Adrian Nachman (U of Toronto)
Mary Pugh (U of Toronto) 

The Fields Institute Colloquium/Seminar in Applied Mathematics
is a monthly colloquium series for mathematicians in the areas of
applied mathematics and analysis. The series alternates between
colloquium talks by internationally recognized experts in the field,
and less formal, more specialized seminars. In recent years, the
series has featured applications to diverse areas of science and
technology; examples include superconductivity, nonlinear wave
propagation, optical fiber communications, and financial modeling.
The intent of the series is to bring together the applied mathematics
community on a regular basis, to present current results in the
field, and to strengthen the potential for communication and collaboration
between researchers with common interests. We meet for one session
per month during the academic year. The organizers welcome suggestions
for speakers and topics.
Upcoming
Talks 
Monday July 8
1:10 p.m.
Stewart Library

Ricardo Barros, IMPA (Instituto Nacional de Matematica Pura
e Aplicada, Brazil)
Twodimensional Nonlinear Internal Wave
Large amplitude internal solitary waves excited typically by the
interaction of tidal currents with bottom topography have been observed
frequently in coastal oceans through insitu measurements and satellite
images. Although there has been a considerably intensive research
on nonlinear internal waves, most of the existing work is devoted
strictly to the onedimensional case. To study the evolution of twodimensional
large amplitude internal waves in a twolayer system with variable
bottom topography, we derive a fully twodimensional strongly nonlinear
model. This is a generalization of the onedimensional model of Choi,
Barros & Jo (2009) that is known to be free from shear instability
for a wide range of physical parameters. After investigating shear
instability of the regularized model for flat bottom, weakly twodimensional
and weakly nonlinear limits are discussed.

Previous Talks 
Wednesday Feb 27
3:10 p.m.
Stewart Library 
Francois Hamel,
Université d'AixMarseille
Reactiondiffusion equations and traveling fronts.
Traveling fronts are an important class of solutions of semilinear
parabolic PDEs of the reactiondiffusion type. They usually describe
the transition between two stationary states. In this talk, I will
first review the standard notions of traveling fronts and some of
the main existence and qualitative results. The traveling fronts can
also be viewed as examples of generalized transition fronts. These
new notions involve uniform limits with respect to some families of
hypersurfaces. The existence of transition fronts has been proved
recently in various contexts where the standard notions of fronts
make no sense anymore. I will then focus on some uniqueness and further
qualitative properties of the transition fronts, including the characterization
of their global mean speed for some bistable equations. The talk will
be based on some joint works with H. Berestycki and H. Matano.

Wednesday July 11
4:10 p.m.
Room 230 
Darryl D. Holm,
Imperial College London
Momentum Maps, Image Analysis & Solitons 
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