Meetings take place Wednesdays, 2:10pm - 3:30 pm in The Fields Institute
Boardroom (Room 210)

Summer Meetings: Wednesdays, 10:30am - 12:00 pm in The Fields Institute
Boardroom (Room 210)

Organizers: **Jim Colliander**,** **University of Toronto**,
Robert Jerrard**, University of Toronto, **Robert McCann**, University
of Toronto

The Fields Working Group on Nonlinear Evolution Equations is an informal
group of students and researchers in analysis, applied mathematics,
and partial differential equations, who convene once a week to discuss
mathematical research of common interest. It functions partly as a journal
club and partly as a venue for presenting work in progress, especially
by young researchers. The 2002-03 research theme centers around nonlinear
heat flows and models for fluid mechanics. Participants are welcome,
as are suggestions for presentations. Background readings for upcoming
seminars can be found at http://www.math.toronto.edu/hmaroofi/seminar/seminar.html

### Upcoming Seminars

June 25, 2003. **Jim Colliander**, University of Toronto. *Normal
forms, almost conservation and low regularity global well-posedness
for periodic NLS*

### Schedule

June 18, 2003. **Robert Jerrard**, University of Toronto.* Hessian
Measures*

June 11, 2003. **Jim Colliander**, University of Toronto. *Nekoroshev
Stability*

April 2, 2003. **Israel Michael Sigal**, University of Toronto.
*Nonequilibrium statistical mechanics and renormalization group (a
thumbnail sketch)*.

March 12, 2003. **Robert Jerrard**, University of Toronto.* Long
time asymptotics for Ginzburg-Landau heat flow*.

March 5, 2003. **Robert Jerrard**, University of Toronto. *Dynamics
of Ginzburg-Landau vortices II*

February 26, 2003. **Robert Jerrard**, University of Toronto. *Dynamics
of Ginzburg-Landau vortices: general background*.

February 12, 2003. **Jim Colliander**, University of Toronto. *Variations
of a theme by Morawetz II*

February 5, 2003. **Jim Colliander**, University of Toronto. *Variations
of a theme by Morawetz*

January 29, 2003. **Fridolin Ting**, University of Toronto. *Asymptotic
behavior (near finite extinction time) for the fast diffusion equation
with exponent m=(N-2)/(N+2), N >2*

January 22, 2003. **Adrian Butscher**, University of Toronto. *A
Classical Result in the Mean Cuvature Flow of Hypersurfaces III*

January 15, 2003. **Adrian Butscher**, University of Toronto. *A
Classical Result in the Mean Cuvature Flow of Hypersurfaces II*

January 8, 2003. **Adrian Butscher**, University of Toronto. *A
Classical Result in the Mean Cuvature Flow of Hypersurfaces*

December 3, 2002. **Jim Colliander**, University of Toronto. *Well-posedness
for quasilinear (uniformly) parabolic PDE II*

November 27, 2002. **Jim Colliander**, University of Toronto. *Well-posedness
for quasilinear (uniformly) parabolic PDE*

November 20, 2002. **Mary Pugh**, University of Toronto. *Droplet
Spreading; Intermediate Scaling Law by PDE Methods*

November 13, 2002. **Hamed Maroofi**, University of Toronto. *Sharp
Constants in Sobolev inequalities; a Mass Transportation Approach*

November 6, 2002. ** Robert McCann**, University of Toronto. *Nonlinear
Heat Flows IV: Steepest Descent into a Convex Valley*

October 30, 2002. **Robert McCann**, University of Toronto. *Nonlinear
Heat Flows III: Steepest Descent into a Convex Valley*

October 23, 2002. **Dejan Slepcev**, University of Toronto. *Asymptotics:
From porous medium equations to a thin film equation*

October 16, 2002. **Steve Shkoller**, University of California at
Davis. *The Navier-Stokes equations with a free-surface and surface
tension*

October 9, 2002. **Robert McCann**, University of Toronto. *Nonlinear
heat flows: Steepest descent into a convex valley*

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