Nonlinear gyrokinetic equations play a fundamental role in our understanding of the long-
time behavior of strongly magnetized plasmas. The foundations of modern nonlinear …

A pedagogical review of the historical development and current status (as of early 2000) of
systematic statistical theories of plasma turbulence is undertaken. Emphasis is on …

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 …

JOREK is a massively parallel fully implicit non-linear extended magneto-hydrodynamic
(MHD) code for realistic tokamak X-point plasmas. It has become a widely used versatile …

The equations of high-and low-beta reduced magnetohydrodynamics (RMHD) are
considered anew in order to elucidate the relationship between compressible MHD and …

The interaction of static Resonant Magnetic Perturbations (RMPs) with the plasma flows is
modeled in toroidal geometry, using the non-linear resistive MHD code JOREK, which …

Nonlinear gyrofluid equations are obtained from the gyrocenter‐fluid moments of the
nonlinear gyrokinetic Vlasov equation, which describes an equilibrium magnetized …

The non-linear reduced four-field RMHD model in cylindrical geometry was extended to
include plasma rotation, neoclassical poloidal viscosity and two fluid diamagnetic effects …

Unified fluid/kinetic equations for the plasma perturbed density (n ̃), parallel flow velocity (u
̃∥) and temperature (T ̃) are developed in a sheared slab geometry by calculating the fluid …

Collisionless magnetic reconnection in a two dimensional plasma is analyzed, using a two-
fluid model where electron mass and pressure effects are important. Numerical simulations …