Isaac Newton Institute for Mathematical Sciences


January - June 1999

Organisers: GF Hewitt (Imperial College), PA Monkewitz (Lausanne), N Sandham (QMW), JC Vassilicos (Cambridge)

Research Programme on Turbulence 

Symposium on


Isaac Newton Institute for Mathematical Sciences,

Cambridge, UK

in Association with ERCOFTAC 

June 21-24, 1999

 Background    Organisation     Programme (updated 20.05.99)  Further Information


Different turbulence problems are encountered in different non-linear systems described mathematically by different partial differential equations (PDE) or systems of ordinary differential equations (ODE). In the world of PDEs and ODEs the Navier-Stokes equations and Navier-Stokes turbulence are a notable example. Nevertheless, the dynamics of many non-linear systems gravitate around a few common central themes, intermittency, order/coherence and disorder. These features affect scalings and lead to deviations from gaussianity. Intermittency may be the universal outcome of a large class of non-linear systems, however the universality properties of specific non-linear systems, that is the dependencies of the intermittent structure on initial and boundary conditions, remain open questions. What is the appropriate kinematic description of intermittency, and how different is it for different non-linear systems, different boundary and initial conditions? The challenge is that a general kinematic description of intermittency should encompass both order and disorder and mixtures of both. Finally, what are the dynamics of intermittency and the mechanisms that create it? To what extent and in what sense is intermittency related to deviations from self-similar dynamics and to dissipative properties of the non-linear system? What are self-similar dynamics and what are their dissipative properties?

This Symposium will consider the mathematical properties of intermittency as a feature of the Navier-Stokes equations and other nonlinear dynamical systems.


The Symposium is being organised by J.C. Vassilicos in collaboration with the other Organisers of the Programme

Monday 21 June

09.00-10.00 Registration

10.00-10.05 Introduction by Professor HK Moffatt

10.05-10.50 A Tsinober (Tel Aviv) On the origins of intermittency in real turbulent flows

10.50-11.15 Coffee

11.15-12.00 P Constantin (Chicago) TBA

12.00-12.45 G Eyink (Arizona) Intermittency in turbulence: what is it and does it matter?

12.45-14.00 Lunch

14.00-14.45 F Busse (Bayreuth) Phase turbulence induced by heteroclinic cycles

14.45-15.30 A Vulpiani (Rome) Exit time approach as a probe for Lagrangian and Eulerian intermittency

15.30-16.00 Tea

16.00-16.45 R Temam (Paris Sud) Control of turbulent flows under unknown disturbances

16.45-17.30 JC Vassilicos (Cambridge) Wind tunnel turbulence and intermittency behind a 3-D fractal grid

Tuesday 22 June

09.00-09.45 A Newell (Warwick) TBA

09.45-10.30 V Yakhot (Princeton) TBA

10.30-11.00 Coffee

11.00-11.45 K Gawedzki (Paris) Turbulent advection and breakdown of Lagrangian flow

11.45-12.30 G Falkovich (Weizmann Inst) TBA

12.30-14.00 Lunch

14.00-14.45 U Frisch (Nice Observatory) Pdfs of derivatives and increments for Burgers turbulence

14.45-15.30 JG Brasseur (Pennsylvania State) Physical-scale-space dynamics of intermittent Burgers shocklets

15.30-16.00 Tea

16.00-16.45 M Jensen (Copenhagen) Inverted structure functions

16.45-18.00 Posters & Wine Reception

Wednesday 23 June

09.00-09.45 K Sreenivasan (Yale) Small-scale by any name does not scale the same

09.45-10.30 S Ciliberto (ENS Lyon) Scaling law of boundary layer of turbulence

10.30-11.00 Coffee

11.00-11.45 A Arneodo (Bordeaux) Revealing the non-self-similarity of the energy cascading process in fully developed turbulence

11.45-12.30 J Jimenez (Madrid) Cascades and structures

12.30-14.00 Lunch

14.00-14.45 S Kida (Nagoya) TBA

14.45-15.30 K Ohkitani (Kyoto) Analytic ODE approach for the enstrophy of 3D Euler flows

15.30-16.00 Tea

16.00-16.45 C Doering (Michigan) Anomalous scaling and regularity of the Navier-Stokes equation

16.45-18.00 Posters

19.30 Conference Dinner at Sidney Sussex College

Thursday 24 June

09.00-09.45 P Tabeling (ENS Paris)

09.45-10.30 W Van der Water (Eindhoven) Angle-dependent structure functions for fully developed turbulence

10.30-11.00 Coffee

11.00-11.45 B Shraiman (Bell Labs) Lagrangian tetrad dynamics and the statistical geometry of turbulence

11.45-12.30 A Pumir (Nice) A numerical study of the Lagrangian dynamics of tetrahedra in turbulence

12.30-14.00 Lunch

14.00-14.45 T Mullin (Manchester) Can we learn anything from chaos?

14.45-15.30 J Lumley (Cornell) Low-dimensional models of the wall region and intermittency

 This Symposium will consist of:

  • Invited lectures
  • Contributed papers
  • Discussion sessions

Confirmed Invited Lecturers:

    A Arneodo (Bordeaux, France)
    J.G. Brasseur (Penn State, USA)
    F.H. Busse (Bayreuth, Germany)
    S. Ciliberto (ENSL, France)
    P. Constantin (Chicago, USA)
    G. Eyink (Arizona, USA)
    G. Falkovich (Weizmann, Israel)
    U. Frisch (Nice, France)
    J. Jiménez (Madrid, Spain)
    A. Leonard (Caltech, USA)
    J.L. Lumley (Cornell, USA)
    A. Newell (Warwick, UK)
    K. Ohkitani (Kyoto, Japan)
    P. Tabeling (ENS, Paris, France)
    R. Temam (Indiana, USA)
    A. Tsinober (Tel Aviv, Israel)
    A. Vulpiani (Rome, Italy)
    W. van de Water (Eindhoven, Holland)
    V. Yakhot (Princeton, USA)

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