Theme of Course:
Pattern forming systems are widely found in nature and the laboratory: for example in sand dunes, lasers, flame fronts, surface catalysis and the visual cortex, as well as a whole host of fluid mechanical processes. The best known examples are thermal convection and travelling waves and spirals in chemical reactions. Experimental work and the theoretical study of nonlinear differential equations continue to reveal a wealth of unexpected phenomena in the behaviour of these nonlinear systems. This training course will introduce the appropriate mathematical techniques necessary to understand and describe the behaviour of mathematical models for such phenomena, and will illustrate their use (and successes and failures) in a variety of contexts.
Structure:There will be three series of lectures:
- Pattern formation in spatially extended systems. Mike Cross (Caltech), Rebecca Hoyle (Surrey)
- Symmetric bifurcation theory. Jonathan Dawes (Cambridge)
- Numerical methods. Dwight Barkley (Warwick), Laurette Tuckerman (LIMSI-CNRS, Orsay)
Lectures will be complemented by problem-solving classes. In addition to the lecture courses three distinguished senior scientists will give Guest Lectures: Guenter Ahlers (UC Santa Barbara), Robert Ecke (Los Alamos) and Martin Golubitsky (Houston).
The course is aimed at research students and post-docs working in applied mathematics, particularly those working on nonlinear systems or continuum mechanics.
Location and Cost:
The Training Course will take place at the Newton Institute and accommodation for participants will be provided in single study bedrooms with shared bathroom at Wolfson Court. The conference package, costing £440, includes accommodation, breakfast and dinner from dinner on Sunday 31 July 2005 to breakfast on Saturday 6 August 2005, and lunch and refreshments during the days that lectures take place. Substantial financial support is available for research students and post doctoral researchers with fewer than ten years research experience. Participants who wish to attend but do not require the Conference Package will be charged a registration fee of £35. Self-supporting participants are very welcome to apply.
Are available here. Invited participants to the semester long programme whose dates coincide with those of the workshop need not apply or pay any registration fee.
The closing date for the receipt of applications has been extended to 15 April 2005