Tables of Contents for Tubes, Sheets and Singularities in Fluid Dynamics

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Chapter/Section Title

Page #

Page Count

Preface

Part I Vortex structure, stability and evolution

Simulation of vortex sheet roll-up: chaos, azimuthal waves, ring merger

Robert Krasny

Keith Lindsay

Monika Nitsche

Merging of non-symmetric Burgers vortices

Keith Higgins

M. S. Chong

Andrew Ooi

Effect of stretching on vortices with axial flow

Maurice Rossi

Ivan Delbende

Stephane Le Dizes

Optimal two-dimensional perturbations in a stretched shear layer

Stephane Le Dizes

Advection--diffusion of a passive scalar in the flow of a decaying vortex

Konrad Bajer

Andrew P. Bassom

Andrew D. Gilbert

Linear stability of a vortex ring revisited

Yasuhide Fukumoto

Yuji Hattori

The Vortex--in--cell method for the study of three--dimensional vortex structures

Henryk Kudela

Pawet Regucki

L-transition from right-to left-handed helical vortices

Valery Okulov

Jens N. Sørensen

Lars K. Voigt

Dynamical behaviour of counter-current axisymmetric shear flows

Xilin Xie

Weiwei Ma

Huiliang Zhou

Part II Singular vortex filaments

Complexity measures of tangled vortex filaments

Carlo F. Barenghi

David C. Samuels

Renzo L. Ricca

Corotating five point vortices in a plane

Tatsuyuki Nakaki

On motion of a double helical vortex in a cylindrical tube

Pavel A. Kuibin

Intensive and weak mixing in the chaotic region of a velocity field

Alexandre Gourjii

Evolution of the anisotropy of the quantum vortex tangle

Tomasz Lipniacki

Motion of vortex lines in quantum mechanics

Cezary Sliwa

Iwo Bialynicki-Birula

Zofia Bialynicka-Birula

Tomasz Mloduchowski

Part III Magnetic structure, topology and reconnection

Magnetic dissipation: spatial and temporal structure

107

Ake Nordlund

Current sheets in the Sun's corona

115

Eric Priest

A model for magnetic reconnection

125

H.K. Moffatt

R.E. Hunt

Reconnection in magnetic and vorticity fields

133

Gunnar Hornig

Energy, helicity and crossing number relations for complex flows

139

Renzo L. Ricca

Helicity conservation laws

145

Zbigniew Peradzynski

A third-order topological invariant for three magnetic fields

151

Christoph Mayer

Gunnar Hornig

Asymptotic structure of fast dynamo eigenfunctions

157

B. J. Bayly

Part IV Vortex structure in turbulent flow

Vortex tubes, spirals, and large-eddy simulation of turbulence

171

D.I. Pullin

Low-pressure vortex analysis in turbulence: life, structure, and dynamical role of vortices

181

Shigeo Kida

Susumu Goto

Takafumi Makihara

Vortex bi-layers and the emergence of vortex projectiles in compressible accelerated inhomogeneous flows (AIFs)

191

Norman J. Zabusky

Shuang Zhang

Interaction of localised packets of vorticity with turbulence

201

A. Leonard

Extraction of coherent vortex tubes in a 3D turbulent mixing layer using orthogonal wavelets

211

Kai Schneider

Marie Farge

Vortex tubes in shear-stratified turbulent flows

217

Marie Farge

Alexandre Azzalini

Alex Mahalov

Basil Nicolaenko

Frank Tse

Giulio Pellegrino

Kai Schneider

Coherent dynamics in wall turbulence

229

Javier Jimenez

Some characteristics of the coherent structures in turbulent boundary layers

241

Davide Poggi

A singularity-free model of the local velocity gradient and acceleration gradient structure of turbulent flow

247

Brian Cantwell

Spiral small--scale structures in compressible turbulent flows

261

Thomas Gomez

Helene Politano

Annick Pouquet

Michele Larcheveque

Part V Finite-time singularity problems

Discrete groups, symmetric flows and hydrodynamic blowup

269

Richard B. Pelz

Diffusion of Lagrangian invariants in the Navier-Stokes equations

285

Peter Constantin

Evidence for singularity formation in a class of stretched solutions of the equations for ideal MHD

295

J. D. Gibbon

K. Ohkitani

Numerical evidence of breaking of vortex lines in an ideal fluid

305

Evgeniy A. Kuznetsov

Olga M. Podvigina

Vladislav A. Zheligovsky

Sufficient condition for finite-time singularity and tendency towards self-similarity in a high-symmetry flow

317

C. S. NG

A. Bhattacharjee

Finite time singularities in a class of hydrodynamic models

329

Victor P. Ruban

Dmitry I. Podolsky

Jens J. Rasmussen

On stabilisation of solutions of singular quasi-linear parabolic equations with singular potentials

335

Andrey Muravnik

Part VI Stokes flow and singular behaviour near boundaries

Interactions between two close spheres in Stokes flow

343

Maria L. Ekiel-Jezewska

Nicolas Lecoq

Rene Anthore

Francois Bostel

Francois Feuillebois

Effective boundary conditions for creeping flow along a periodic rough surface

349

B. Cichocki

P. Szymczak

F. Feuillebois

Steady Stokes flow in a trihedral corner

355

Vladimir S. Malyuga

Alexandre M. Gomilko

After-dinner speeches

361

List of Participants

365

Author Index

367

Topic Index

373