A review is given of the theory of magnetic reconnection in the framework of resistive
magnetohydrodynamics (MHD). Since interest is primarily in explaining the rapid release of …

Recent developments in the stability theory of toroidally confined plasmas are reviewed, with
the intention of providing a picture comprehensible to non-specialists. The review considers …

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 generalization of reduced magnetohydrodynamics is constructed from moments of the
Fokker-Planck equation. The new model uses familiar aspect-ratio approximations but …

Reduced magnetohydrodynamics (RMHD) is a principal tool for understanding nonlinear
processes, including disruptions, in tokamak plasmas. Although analytical studies of RMHD …

Abstract Models are developed for estimating the effects of macroscopic phenomena in
tokamaks (sawteeth, Mirnov oscillations, edge localized modes (ELMs), etc.) on plasma …

Magnetohydrodynamic (MHD) instabilities in the Wendelstein 7-AS stellarator (W7-AS)[G.
Grieger et al., Phys. Fluids B 4, 2081 (1992)] are characterized experimentally in various …

The new nonlinear destabilization process is found in the nonlinear phase of the double
tearing mode (DTM). This process causes the abrupt growth of DTM and subsequent …

This book is devoted to mathematical modeling of tokamak plasma. Since the appearance in
1982 of the first edition (in Russian), a considerable amount of experimental and theoretical …

The Hamiltonian four-field model is a simplified description of nonlinear tokamak dynamics
that allows for finite ion Larmor radius physics as well as other effects related to …