This workshop will bring together scientists and mathematicians studying
pattern formation in a wide variety of specific applications modeled
by partial differential equations. Significant progress has been achieved
through interdisciplinary approaches of this type in the past decade.
The emphasis in the workshop will be on realistic physical applications
and on applying new mathematical theory in order to understand the underlying
mechanisms.
S. Alama (McMaster), D. Barkley (Texas), L. Bronsard (McMaster), S.
Cantic (Stony Brook), G. Caginalp (Pittsburgh), G. Cruywagen (Washington),
K. Diemer (Los Alamos), M. Golubitsky (Houston), P. Holmes (Cornell),
R. Kapral (Toronto), Y. Kevrekidis (Princeton), G. Keyfitz (Houston),
E. KKnobloch (Berkeley), W. Langford (Guelph), A. Lawniczak (Guelph),
A. Mahalov (Arizona), J. Marsden (Fields), B. Matkowsky (Northwestern),
R. Miura (British Colubia), L. Mysak (McGill), W. Nagata (UBC), S. Namachchivaya
(Illinois), P. Ortoleva (Indiana), A. Peirce (McMaster), D. Peltier
(Toronto), I. Stewart (Warwick), L. Trainor (Toronto), B. Wetton (UBC),
S. Wiggins (Caltech), and J. Wu (York).
Tuesday, March 23, 1993
|
| 9:00am-5:00pm |
Registration |
Check in with Judy Motts, The Fields Institute Room
3003 |
| 5:00pm - 7:00pm |
Reception |
Fields Institute Common Room
All participants are welcome to attend |
Wednesday, March 24, 1993
|
| 8:50 - 9:00 |
Jerrold E. Marsden Director, The Fields Institute |
Opening Remarks |
| 9:00 - 9:45 |
Ian Stewart
University of Warwick |
Hidden Symmetries of PDEs |
| 9:50 - 10:15 |
Gunduz Caginalp
University of Pittsburgh |
Distinguished Limits of the Phase field Equations:
Stefan Model and Motion by Mean Curvature |
| 10:15 - 10:35 |
Refreshment Break |
Common Room |
| 10:35 - 11:25 |
Edgar Knobloch
University of California at Berkeley |
Pattern Selection in Three-Dimensional Magnetoconvection |
| 11:30 - 11:55 |
Thomas Clune
University of California at Berkeley |
A Package for Determining Pattern Selection |
| 11:55 - 1:30 |
Lunch |
|
| 1:30 - 3:00 |
Open Discussion Time |
Both seminar rooms (3013 and 3018) and the common
areas are available for informal discussions |
| 3:00 - 3:15 |
Afternoon Tea |
Common Room |
| 3:15 - 4:00 |
Jerrold E. Marsden |
Hamiltonian Structures and Symmetry Breaking |
| 4:05 - 4:30 |
Alex Mahalov
Arizona State University |
Instabilities and Patterns in Viscous Rotating
Pipe Flow |
| 4:35 - 5:00 |
N. Sri Namachchivaya
University of Illinois |
Externally Excited Two Degree of Freedom Coupled Nonlinear
Oscillators
|
Thursday, March 25, 1993
|
| 9:00 - 9:45 |
Bernard Matkowsky
Northwestern University |
Bifurcation, Nonlinear Dynamics and Pattern Formation
in Combustion Synthesis of Advanced Materials |
| 9:50 - 10:15 |
Emily Stone
Arizona State University |
Extraction Structure and Dynamics from Complicated
Spatio-Temporal Data: Gorman's Flames |
| 10:15 - 10:35 |
Refreshment Break |
Common Room |
| 10:35 - 11:00 |
Shui-Nee Chow
Georgia Institute of Technology |
Traveling Wave Solutions for Lattice Dynamics |
| 11:05 - 11:30 |
Jinqiao Duan
Cornell University |
Translating Patterns in a Generalized Ginzburg-Landau
Amplitude Equation |
| 11:35 - 12:00 |
Lunch |
|
| 1:30 - 3:00 |
Open Discussion Time |
Both seminar room (3013 and 3018) and the common areas
are available for informal discussions |
| 3:00 - 3:15 |
Afternoon Tea |
Common Room |
| 3:15 - 4:00 |
Robert M. Miura
University of British Columbia |
Application of Temporal Pattern Formation to Rate
of Insulin Release from Pancratic Beta-Cells |
| 4:05 - 4:30 |
Gerhard Cruywagen
University of Washington |
Modeling Traveling Waves of Spatial Patterning
in Morphogenesis |
| 4:35 - 5:00 |
Lynn Trainor
University of Toronto |
Generation on Form in Developmental Biology |
| 6:30 - 7:00 |
Cash Bar |
There will be a dinner at The University Club, University
of Waterloo. There is no cost for speakers and participant. Guests
can attend for $25.00 each, in advance. Advanced Reservations ar
confirmed. Requests recieved after March 19 are subject to availability. |
Friday, March 26, 1993
|
| 9:00 - 9:45 |
Lawrence Mysak
McGill University |
Climate Variability on the Century Time Scale:
Observations and Models |
| 9:50 - 10:15 |
Huijun Yang
University of Chicago |
Chaotic Mixing and Transport in Dynamical Systems
and Simulation of Cloud Pattern |
| 10:15 - 10:35 |
Refreshment Break
|
Common Room |
| 10:20 - 11:00 |
Mei-Man Lee
University of Liverpool |
Numerical Modelling of Mesoscale Eddies in the
Ocean |
| 11:05 - 11:50 |
Richard Peltier
University of Toronto |
Coherent Structure Formation in Three Dimensional
Baroclinic Jets |
| 11:50 |
Lunch |
Free Afternoon
Open discussion, or informal trips to Toronto or Niagara Falls,
assisted by staff coordinator |
| 3:00 - 3:15 |
Afternoon Tea |
Common Room |
Saturday, March 27, 1993
|
| 9:00 - 9:45 |
Stephen Wiggins
California Institute of Technology |
Geometry, Structure, and Transport in Three-Dimensional
Tim-Dependent Fluid Flows |
| 9:50 - 10:15 |
Yannis Kevrekidis
Princeton University |
Waves on Thin Films, on Circular Electrode Surfaces,
on Pt surfaces and in the Shedding Behind a Cylinder: Some Case
Studies |
| 10:15 - 10:35 |
Refreshement Break |
Common Room |
| 10:35 - 11:00 |
Barbara Lee Keyfitz
University of Houston |
Shocks Near the Sonic Line in Unsteady Change of
Type |
| 11:05 - 11:30 |
Suncica Canic
The Fields Institute |
Structural Stability of Viscous Shock Profiles |
| 11:35 - 12:00 |
Swight Barkley
University of Texas |
Spirals, Symmetries, and Instabilities |
| 12:00 - 1:30 |
Lunch |
A Buffet Lunch will be available in the Fields Institute
Common Room. The cost is $8.00 per person, in advance. Advance reservations
are confirmed. Requested recieved after March 18 are subject to
availability. |
| 1:30 - 3:00 |
Open Discussion Time |
Both seminar rooms (3013 and 3018) and the common
areas are available for discussions |
| 3:00 - 3:15 |
Afternoon Tea |
Common Room |
| 3:15 - 4:00 |
Philip Holmes
Cornell University |
Energy Minimization, Dynamics and Microstructure |
| 4:05 - 4:30 |
Lia Bronsard
McMaster University |
On Three-Phase Boundary Mothon and the Singular
Limity of a Vector-Valued Ginzburg-Landau Equation |
| 4:35 - 5:00 |
Erick Van Vleck
Simon Fraser University |
Spatially Discrete Diffusion Efquations and the
Existence of Quad Junctions |
Sunday, March 28, 1993
|
| 9:00 - 9:45 |
Peter Ortoleva
Indiana University |
Bifurcation and Homogenization Problems in Reacting
Porous Media |
| 9:50 - 10:15 |
Anthony Peirce
McMaster University |
Shear and Flutter Instabilities, Microstructure
and Solitons |
| 10:15 - 10:35 |
Refreshment Break |
Common Room |
| 10:35 - 11:20 |
Martin Golubitsky
University of Houston |
Symmetry and Chaos: Patterns on Average |
