PDEs and Low-order Models
6 -- 8 December 1995
Information and Call for Registration
Background
This small workshop will take place as part of the Newton Institute programme, `From Finite to Infinite Dimensional Dynamical Systems'. The general aim of this programme is to bring together researchers with an analytic training (in partial differential equations, for example) and those with a more topological approach in an attempt to understand `large' systems.
Workshop 6 -- 8 December Programme
The main emphasis will be on new insights into the finite dimensional behaviour of physical systems governed by nonlinear PDEs (in two or three space dimensions) that are revealed by studying the bifurcation structure of low-order models.
Topics are expected to include:
- * complicated spatio-temporal behaviour
- * chemical waves
- * patterns in convection
- * nonlinear dynamos
Workshop Organisers: M.R.E.Proctor, A.Rucklidge, N.O.Weiss (Cambridge)
Revised programme
Wednesday 6th December
- 10:00 B. Malomed (Tel Aviv) Anomalous dynamical chaos in a system of truncated Euler equations
- 10:45 Coffee
- 11:15 A. Skeldon (London) Super hexagons and twisted squares: some new stability results for spatially periodic patterns
- 12:00 P. Drazin (Bristol) Low order behaviour of the Proudman-Johnson equation
- 12:45 Lunch
- 14:00 S.M. Cox (Nottingham) Long-wave models for anisotropic convection in Langmuir circulation
- 14:15 H. Herrero (Pamplona) Fronts between hexagons and squares in a generalized Swift-Hohenberg equation
- 14:30 A.M. Mancho (Pamplona) Bifurcations in a six dimensional model for the Kuramoto-Sivashinsky equation
- 14:45 R.B. Hoyle (Cambridge) Fronts between different wavenumber states in a non-variational Ginzburg-Landau equation
- 15:00 S.P. Decent (Birmingham) Sideband instability and modulations of Faraday waves
- 15:45 Tea
- 16:30 M. L"ucke (Saarlandes) Convection in binary gas mixtures: pattern selection as a nonlinear eigenvalue problem
- 17:15 F. Busse (Bayreuth) New Steady Convection Patterns in Fluid Layers Heated from Below
- 18:00 Reception at the Isaac Newton Institute
Thursday 7th December
- 9:00 E. Knobloch (Berkeley) Linear and nonlinear dynamo waves
- 9:45 S.M. Tobias (Cambridge) Low-order models and PDE simulations of the nonlinear solar dynamo
- 10:30 Coffee
- 11:15 D.W. Hughes (Leeds) The suppression of chaos in nonlinear dynamo models
- 12:00 N. Seehafer (Potsdam) Bifurcations in a magnetofluid with helical forcing
- 12:45 Lunch
- 14:00 G. Sarson (Exeter) Mean-field dynamo models under imposed boundary heterogeneities
- 14:15 M.R.E. Proctor (Cambridge) Subcritical squares and \sqrt(2):1 resonance
- 14:30 A. Pumir (Nice) Bursts of energy and enstrophy in homogeneous turbulent shear flows
- 14:45 A. Craik (St Andrews) Second-harmonic resonance of capillary-gravity waves with Faraday excitation: properties of truncated equations
- 15:00 N.O. Weiss (Cambridge) Looping the loop in thermosolutal convection
- 15:15 J. Kurths (Potsdam) Generalized entropies in a turbulent dynamo simulation
- 16:00 Tea
- 16:45 T. Mullin (Oxford) Convection in molten gallium
- 17:30 Set aside for showing videos
- 19:45 Conference Dinner in Peterhouse (time to be confirmed)
Friday 8th December
- 9:00 A.M. Rucklidge (Cambridge) Global bifurcations in three-dimensional convection
- 9:45 P. Metzner (Lausanne) Oscillatory patterns in rapid directional solidification
- 10:30 Coffee
- 11:15 J. Massaguer (Barcelona) Bands of instability in 2-D thermal convection
- 12:00 J. Elezgaray (Bordeaux) The Kuramoto-Sivashinsky equation: statistics of the large scales and models of the local dynamics
- 12:45 Lunch
- 14:00 P. Manneville (Palaiseau) Phase turbulence in the two-dimensional complex Ginzburg-Landau equation
- 14:45 E.A. Spiegel (Columbia) T.B.A.
- 15:45 Tea and close
Participants:
Prof. J. Brindley (Leeds), Prof. F. Busse (Bayreuth), Dr. S.M. Cox (Nottingham), Prof. A. Craik (St Andrews), Dr S.P. Decent (Birmingham), Prof. P. Drazin (Bristol), Dr. J. Elezgaray (Bordeaux), Dr. R.B. Hoyle (Cambridge), Prof. D.W. Hughes (Leeds), Dr. K.A. Julien (Boulder), Prof. E. Knobloch (Berkeley)
Prof. J. Kurths (Potsdam), Dr. M. Lucke (Saarlandes), Dr. B. Malomed (Tel Aviv), Prof. P. Manneville (Palaiseau), Dr. J. Massaguer (Barcelona), Dr. P.C. Matthews (Nottingham), Dr. I. Mercader (Barcelona), Dr. P. Metzner (Lausanne), Dr. I. Moroz (Oxford), Dr. M. Net (Barcelona), Dr. A. Pumir (Nice), Dr. N. Seehafer (Potsdam), Dr. A. Skeldon (London), Dr. G. Sarson (Exeter), Dr. S.M. Tobias (Cambridge)
Workshop location, costs, registration:
The workshop will take place in the Newton Institute's purpose-designed building, in a pleasant area in the west of Cambridge, about one mile from the centre of the City. The Newton Institute can provide assistance with finding local accommodation - the cost of which is likely to be 25 - 40 pounds per day including breakfast. There will be a 20 pounds registration fee that will include the cost of lunch. There may be some financial help available to support UK participants.