Tubes, Sheets and Singularities in Fluid Dynamics

Preface. Part I: Vortex Structure, Stability and Evolution. Simulation of vortex sheet roll-up: chaos, azimuthal waves, ring merger; R. Krasny, et al. Merging of non-symmetric Burgers vortices; K. Higgins, et al. Effect of stretching on vortices with an axial flow; M. Rossi, et al. Optimal two-dimensional perturbations in a stretched shear layer; S. le Dizes. Mixing and diffusion in planar vortices; K. Bajer, et al. Linear stability of a vortex ring revisited; Y. Fukumoto, Y. Hattori. Part II: Singular Vortex Filaments. Complexity measures of tangled vortex filaments; C.F. Barenghi, et al. Corotating five point vortices in a plane; T. Nakaki. On motion of a double helical vortex in a cylindrical tube; P.A. Kuibin. Intensive and weak mixing in the chaotic region of a velocity field; A. Gourjii. Evolution of the anisotropy of the quantum vortex tangle; T. Lipniacki. Motion of vortex lines in quantum mechanics; C. Sliwa, et al. Part III: Magnetic Structure, Topology and Reconnection. Magnetic dissipation: spatial and temporal structure; .A. Nordlund. Current sheets in the sun's corona; E. Priest. A model for magnetic reconnection; H.K. Moffatt, R.E. Hunt. Reconnection in magnetic and vorticity fields; G. Hornig. Energy, helicity and crossing number relations for complex flows; R.L. Ricca helicity conservation laws; Z. Peradzynski. Part IV: Vortex Structure in Turbulent Flow. Vortex tubes, spirals, and large-eddy simulation of turbulence; D.I. Pullin. Low-pressure vortex; S. Kida, et al. Vortex bi-layers and the emergence of vortex projectiles in compressible accelerated inhomogeneous flows; N.J. Zabusky, S. Zhang. Interaction of localised packets of vorticity with turbulence; A. Leonard. Extraction of coherent vortex tubes in a 3-D mixing layer; K. Schneider, M. Farge. Vortex tubes in shear-stratified turbulent flows; M. Farge, et al. Coherent dynamics in wall turbulence; J. Jimenez. Some characteristics of the coherent structures in turbulent boundary layers; D. Poggi. Part IV: Finite-Time Singularity Problems. Discrete groups, symmetric flows and hydrodynamic blowup; R.B. Pelz Diffusion of Lagrangian invariants in the Navier-Stokes equations; P. Constantin. Evidence for singularity formation in a class of stretched solutions of the equations for ideal MHD; J.D. Gibbon, K. Ohkitani. Numerical evidence of breaking of vortex lines in an ideal fluid; E.A. Kuznetsov, et al. Sufficient condition for finite-time singularity and tendency towards self-similarity in a high-symmetry flow; C.S. Ng, A. Bhattacharjee. Finite time singularities in a class of hydrodynamic models; V.P. Ruban, et al. Part VI: Stokes Flow and Singular Behaviour Near Boundaries. Interactions between two close spheres in Stokes flow; M.L. Ekiel-Jezewska, et al. Effective boundary conditions for creeping flow along a periodic rough surface; B. Cichocki, et al. Steady Stokes flow in a trihedral corner; V.S. Malyuga, A.M. Gomilko. 10 additional articles. After dinner speeches. List of Participants. Author Index. Topic Index.