PFDW03
19 September 2005 to 23 September 2005
Supported by the Newton Institute, the London Mathematical Society, EPSRC and the Institute of Advanced Studies (U Surrey)
Pattern formation is a wide-ranging subject, encompassing areas from fluid mechanics to solid-state physics, and from chemical to biological systems. Pattern formation is also a rich source of mathematical problems, providing interesting mathematical challenges in the field of applied partial differential equations, nonlinear dynamics and bifurcation theory. The formation of patterns in small domains can be studied near onset by a bifurcation-theoretic approach, but the range of validity of the normal form equations shrinks to zero as the domain size increases. The resolution of this issue is to employ a continuum description of bifurcating patterns in unbounded domains. In one space dimension, the reduction to an amplitude equation has been put on a rigorous mathematical foundation. However, similar progress on two-dimensional pattern formation is prevented by a fundamental mathematical difficulty: the orientational degeneracy of the plane. This workshop is intended to address aspects of this problem, and will bring together leading pure and applied mathematicians and experimentalists to examine the issues common to a wide variety of pattern-forming problems when these are posed in domains that are large compared to the intrinsic characteristic length scales of the pattern.
There will be a special day of distinguished lectures during the workshop, on Tuesday 20 September, aimed towards describing the state of the art of the subject as well as future directions. The distinguished invited speakers will be Guenter Ahlers (UC Santa Barbara), Dwight Barkley (Warwick), Alan Newell (Arizona), Arnd Scheel (Minneapolis), Eugene Wayne (Boston). This special day is intended for a wider academic audience and will be funded by the Institute of Advanced Studies (U Surrey)
Monday 19th September 2005 | |||
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09:00 to 10:00 |
Peter Ashwin University of Exeter |
No Room Required | |
10:00 to 11:00 |
Michael Cross CALTECH (California Institute of Technology) |
No Room Required | |
11:00 to 12:00 |
Michael Schatz |
No Room Required |
Tuesday 20th September 2005 | |||
---|---|---|---|
09:00 to 10:00 |
Guenter Ahlers University of California |
No Room Required | |
10:00 to 11:00 | No Room Required | ||
11:00 to 12:00 |
Alan Newell University of Arizona |
No Room Required | |
12:00 to 13:00 |
Long-time asymptotics and coherent structures in Navier-Stokes flow in R+2 and R+3 |
No Room Required |
Wednesday 21st September 2005 | |||
---|---|---|---|
09:00 to 10:00 | No Room Required | ||
10:00 to 11:00 | No Room Required |
Thursday 22nd September 2005 | |||
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09:00 to 10:00 |
Nicholas Ercolani University of Arizona |
No Room Required | |
10:00 to 11:00 |
Jeroen Lamb Imperial College London |
No Room Required | |
11:00 to 12:00 |
Mary Silber Northwestern University |
No Room Required | |
13:00 to 14:00 |
Hannes Uecker |
No Room Required | |
14:00 to 15:00 |
Sergey Zelik Universität Stuttgart |
No Room Required |
Friday 23rd September 2005 | |||
---|---|---|---|
09:00 to 10:00 | No Room Required | ||
10:00 to 11:00 |
Joceline Lega University of Arizona |
No Room Required | |
11:00 to 12:00 |
Hermann Riecke Northwestern University |
No Room Required |
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