Recent progress in the theory of the Newcomb equation is reported. Emphasis is put on the analysis of external modes including peeling modes (high n kink modes), where n is the toroidal mode number. A theory for low n external modes is developed so that it is also useful for the analysis of resistive wall modes.

s. We show that strong edge magnetic shear which is generic to divertor plasmas makes the shearing of turbulence eddys in toroidal geometry more effective. From calculations of the shearing rates for KSTAR edge parameters, we conclude that the enhanced magnetic shear at the diverted KSTAR plasma edge facilitates shear suppression of turbulence and ensuing H-mode transition.

We investigate inertial mode oscillations of slowly and uniformly rotating, isentropic, Newtonian stars. Inertial mode oscillations are induced by the Coriolis force due to the star’s rotation, and their characteristic frequencies are comparable with the rotation frequency Ω of the star. So called r-mode oscillations form a sub-class of the inertial modes. In this paper, we use the term “r-mode...

MHD instabilities followed by minor collapses in the TST-2 plasma are studied. Precursors with toroidal mode numbers n = 1 and n = 2 localized in the plasma’s core become phase aligned so that their mode amplitudes strengthen each other at a certain spatial point. During phase alignment, the total mode amplitude on the soft Xray radiation profile does not show significant change, and a minor co...

We diagnose local properties of magnetic reconnection during a sawtooth crash employing the three-dimensional toroidal, extended-magnetohydrodynamic (MHD) code M3D-C. To do so, we sample simulation data in the plane in which reconnection occurs, the plane perpendicular to the helical ( ) ( ) = m n , 1, 1 mode at the q=1 surface, where m and n are the poloidal and toroidal mode numbers and q i...

The ubiquity of zonal flows in toroidal plasma is now well recognized (see [1] for review on zonal flow theory and a special March issue of Plasma Physics and Controlled Nuclear Fusion 87 (2006) for the latest experimental papers). Two main branches of zonal flows have been identified. Both have zero poloidal and toroidal mode numbers, m = n = 0. One of them is a zero-frequency, finitebandwidth...

A toroidalization of a dominant morphism $varphi: Xto Y$ of algebraic varieties over a field of characteristic zero is a toroidal lifting of $varphi$ obtained by performing sequences of blow ups of nonsingular subvarieties above $X$ and $Y$. We give a proof of toroidalization of locally toroidal morphisms of 3-folds.

Among different goals defined in vehicle design process, fuel consumption (FC) is one of the most important objectives, which significantly has taken into account lately, both by the customers and vehicle manufacturers. One of the significant parameters which impacts the vehicle FC is the efficiency of vehicle's power train. In this paper, a half-toroidal continuously variable transmission (CVT...