Tubes, Sheets and Singularities in Fluid Dynamics

Vortex Structure, Stability and Evolution.- Simulation of vortex sheet roll-up: chaos, azimuthal waves, ring merger.- Merging of non-symmetric Burgers vortices.- Effect of stretching on vortices with axial flow.- Optimal two-dimensional perturbations in a stretched shear layer.- Advection-diffusion of a passive scalar in the flow of a decaying vortex.- Linear stability of a vortex ring revisited.- The vortex-in-cell method for the study of three-dimensional vortex structures.- L-transition from right- to left-handed helical vortices.- Dynamical behaviour of counter-curren axisymmetric shear flows.- Singular Vortex Filaments.- Complexity measures of tangled vortex filaments.- Corotating five point vortices in a plane.- On motion of a double helical vortex in a cylindrical tube.- Intensive and weak mixing in the chaotic region of a velocity field.- Evolution of the anisotropy of the quantum vortex tangle.- Motion of vortex lines in quantum mechanics.- Magnetic Structure, Topology and Reconnection.- Magnetic dissipation: spatial and temporal structure.- Current sheets in the Sun’s corona.- A model for magnetic reconnection.- Reconnection in magnetic and vorticity fields.- Energy, helicity and crossing number relations for complex flows.- Helicity conservation laws.- A third-order topological invariant for three magnetic fields.- Asymptotic structure of fast dynamo eigenfunctions.- Vortex Structure in Turbulent Flow.- Vortex tubes, spirals, and large-eddy simulation of turbulence.- Low-pressure vortex analysis in turbulence: life, structure, and dynamical role of vortices.- Vortex bi-layers and the emergence of vortex projectiles in compressible accelerated inhomogeneous flows (AIFs).- Interaction of localised packets of vorticity with turbulence.- Extraction of coherentvortex tubes in a 3D turbulent mixing layer using orthogonal wavelets.- Vortex tubes in shear-stratified turbulent flows.- Coherent dynamics in wall turbulence.- Some characteristics of the coherent structures in turbulent boundary layers.- A singularity-free model of the local velocity gradient and acceleration gradient structure of turbulent flow.- Spiral small-scale structures in compressible turbulent flows.- Finite-Time Singularity Problems.- Discrete groups, symmetric flows and hydrodynamic blowup.- Diffusion of Lagrangian invariants in the Navier-Stokes equations.- Evidence for singularity formation in a class of stretched solutions of the equations for ideal MHD.- Numerical evidence of breaking of vortex lines in an ideal fluid.- Sufficient condition for finite-time singularity and tendency towards self-similarity in a high-symmetry flow.- Finite time singularities in a class of hydro dynamic models.- On stabilisation of solutions of singular quasi-linear parabolic equations with singular potentials.- Stokes Flow and Singular Behaviour Near Boundaries.- Interactions between two close spheres in Stokes flow.- Effective boundary conditions for creeping flow along a periodic rough surface.- Steady Stokes flow in a trihedral corner.