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MATHEMATICS INSTITUTE, UNIVERSITY OF WARWICK
&
UNIVERSITY OF CAMBRIDGE
ISAAC NEWTON INSTITUTE FOR MATHEMATICAL SCIENCES

joint Workshop on

Singularities in Classical, Quantum and Magnetic Fluids

20-23 October 2000

(Please note: this Workshop will take place at the Mathematics Institute - University of Warwick)

Supported by the London Mathematical Society, Isaac Newton Institute,
Mathematics Research Centre and Mathematical Interdisciplinary Research at Warwick
Registration fee: £12.00 (speakers exempt)

Programme
(updated 18th October 2000)

Poster Sessions Saturday and Sunday (All who would like to present a poster, please send your title to xinyu@maths.warwick.ac.uk)
Friday 20th October 2000
Schedule: 7 sessions, all invited. 1:50 - 2:00 Opening Welcome by Robert MacKay	Afternoon: Fluids 2-2:45 R. Pelz 2:45-3:30 EA Kuznetsov 4:00-5:00 HK Moffatt (Warwick Colloquium) 5:00 Drinks 7.15 Dinner at the Queen and Castle restaurant in Kenilworth
Saturday 21st October 2000
Morning: Fluids 10-10:45 H Okamoto 11:15-12:00 R Grauer/K Germaschewski 12-12:45 X He	Afternoon: Fluids 2-2:45 JD Gibbon 2:45-3:30 S Malham 3:40-4:40 Posters 4:45-5:30 A Wonhas
Sunday 22nd October 2000
Morning: Fluids 10-10:45 JT Stuart 11:15-12:00 SJ Cowley 12:00-12:415 A Shnirelman	Afternoon: Fluids 2-2:45 RM Kerr 2:45-3:30 Y Kimura 3:40-4:40 Posters 4:15-5:00 A Bhattacharjee 5:00-5.45 S Turitsyn
Monday 23rd October 2000
Morning: NLS/MHD 10:05-10.50 JJ Rasmussen 11:10-11:55 G Vekstein	Afternoon: MHD 1:30-2:15 SC Cowley 2:15-3:00 CF Barenghi 3:15 Coull String Quartet 4-5:00 VE Zakharov (Final Speaker) 5:00 Drinks and snacks

Speakers and Titles
Carlo F. Barenghi	Vortex reconnections in superfluid helium
Peter Constantin	Eulerian-Lagrangian aspects of the Navier-Stokes equation
C. Cowley	Explosive Disruptions in Plasmas Steven
S.J.Cowley	Singularity formation and the development of small-scales in thin shear
J. D. Gibbon	Singularity formation in a class of solutions of the incompressible 3D Euler equations
R. Grauer	Adaptive mesh refinement as a tool for studying singular structures in fluids, plasmas and nonlinear optics
Robert M. Kerr	Simulations and bounds for Euler
Yoshi Kimura	Reality of complex time singularity
E.A.Kuznetsov and V.P. Ruban	Collapse of vortex lines in hydrodynamics
H. K. Moffatt	Finite-Time Singularities in Fluid Mechanics
H. Okamoto	Interior layers arising in inviscid limit of Kolmogorov flows
Richard B. Pelz	On the Hydrodynamic Blowup Problem
Jens Juul Rasmussen	Energy localization and collapse dynamics in discrete nonlinear Schrödinger equations
A. Shnirelman	Weak solutions of incompressible Euler equations
T.J. Stuart	Singular structures of incompressible flow
Sergei K. Turitsyn and Vladimir K. Mezentsev	Wave guided propagation and self-focusing of light beam in air-hole fibers
J.C. Vassilicos and Alexander Wonhas	The relation between dissipative and geometrical properties of singular fields
G.F. Vekstein	Energy release and dissipation by magnetic reconnection
Vladimir Zakharov and Alexander Dyachenko	On formation of singularities on the surface of ideal fluid

Expected posters

A. Bassom, A. Gilbert and I. Hall (University of Exeter): Power laws and rebound for two-dimensional vortices

G. Cruz-Pacheco (National University of Mexico): The Effect of Quantum Fluctuations on a Coherent Field Structure

B. Dubrulle, J-P Laval, and S. Nazarenko (CNRS, France/Warwick): Is intermittency THAT nonlinear?

J.M. Greene (General Atomics): Understanding the MHD Dynamo

B. Grundy and A. Kay (St Andrews/Loughborough): The asymptotics of blow-up in Boussinesq flow and related systems

X. He (Warwick): A class of weak solutions of the 3d Euler equations with finite-time singularities

Dr. S. Malham (Imperial College) TBA

P. Plechac and V. Sverak (Delaware/Minnesota): Self-similar singular solutions of the Complex Ginzburg-Landau Equation

D. Skryabin (University of Strathclyde): Instabilities of vortices in binary mixture of trapped Bose-Einstein condensates: Origin and resonances of excitations with positive and negative energies

For further information contact:
Peta McAllister - MRC Business Manager - peta@maths.warwick.ac.uk

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