As a fundamental topology-transforming event, reconnection plays a significant role in the
dynamics of plasmas, polymers, DNA, and fluids—both (classical) viscous and quantum …

The three-dimensional Euler equations have stood for a quarter of a millenium as a
challenge to mathematicians and physicists. While much has been discovered, the nature of …

This book presents an introduction to, and modern account of, magnetohydrodynamic
(MHD) turbulence, an active field both in general turbulence theory and in various areas of …

A review of the present status of the theory of magnetic reconnection is given. In strongly
collisional plasmas reconnection proceeds via resistive current sheets, ie quasi-stationary …

A new phenomenological model of turbulent fluctuations is constructed by considering the
Lagrangian dynamics of four points (the tetrad). The closure of the equations of motion is …

In this paper, we investigate the performance of pseudo-spectral methods in computing
nearly singular solutions of fluid dynamics equations. We consider two different ways of …

The question of finite-time blowup of the 3D incompressible Euler equations is numerically
investigated in a periodic cylinder with solid boundaries. Using rotational symmetry, the …

When a drop of fluid detaches from a capillary, singular behavior ensues. We show that the
addition of very small amounts of polymer inhibits this singularity in an abrupt way and gives …

Whether the three-dimensional incompressible Euler equations can develop a singularity in
finite time from smooth initial data is one of the most challenging problems in mathematical …

We develop an efficient dynamically adaptive mesh generator for time-dependent problems
in two or more dimensions. The mesh generator is motivated by the variational approach …