Theme of Conference:
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.
Guenter Ahlers (UC Santa Barbara), Peter Ashwin (Exeter), Dwight Barkley (Warwick), Michael Cross (Cal Tech), Nicholas Ercolani (Arizona), Raymond Kapral (Toronto), Edgar Knobloch (Berkeley), Jeroen Lamb (Imperial), Joceline Lega (Arizona), Robert MacKay (Warwick), Alan Newell (Arizona), Hermann Riecke (Northwestern), Michael Schatz (Georgia Tech), Arnd Scheel (Minneapolis), Mary Silber (Northwestern), Hannes Uecker (Karlsruhe), Eugene Wayne (Boston), Claudia Wulff (Surrey), Sergey Zelik (Stuttgart).
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)
Location and Cost:
The satellite workshop will take place at the University of Surrey. Partial financial support for UK participants (including research students) is available from the London Mathematical Society and from EPSRC.
Further Information and Application Forms
For initial enquiries please contact Alastair Rucklidge. Application forms for the whole workshop are available here. If you wish to attend only the one-day IAS seminar on Tuesday 20 September, but not the entire workshop, then please register by filling in the form here (there is no fee for attending the IAS day).Note: the deadline for applications for financial support has passed.