Turbulence Modeling and Vortex Dynamics

Hydrodynamic turbulence: a 19th century problem with a challenge for the 21st century.- Exponents of bulk heat transfer in convective turbulence.- Hierarchical structures and scalings in turbulence.- Intermittency of passive scalars in delta-correlated flow: Introduction to recent work.- A minimal model for intermittency of passive scalars.- Generalized scaling in turbulent flows.- About the interaction between vorticity and stretching in coherent structures.- Pressure and intermittency in the inertial range of turbulence.- Time-periodic statistical solutions of the Navier-Stokes equations.- Local exact controllability for the 2-D Navier-Stokes equations with the Navier slip boundary conditions.- Nonexistence of global solutions to nonlinear wave equations.- Applications of direct numerical simulation to complex turbulent flows.- Computational aspects of three-dimensional Vortex Element Methods: Applications with vortex rings.- Boundary-layer turbulence modeling and vorticity dynamics: I. A kangaroo-process mixing model of boundary-layer turbulence.- Boundary-layer turbulence modeling and vorticity dynamics: II. Towards a theory of turbulent shear flow?.