Sherwood 2015

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Resistive Instabilities with Equilibrium Rotation and Velocity Shear

Author: Ryan L White
Requested Type: Poster Only
Submitted: 2015-01-19 18:23:00

Co-authors: R. Fitzpatrick

Contact Info:
University of Texas at Austin
2515 Speedway, C1600
Austin, Texas   78712
United States

Abstract Text:
The influence of equilibrium velocity on resistive instabilities is invesigated in straight tokamak geometry. The Frieman-Rotenburg formulation of the linearized magnetohydrodynamic equations with stationary equilibria is generalized to include nonzero resistivity. Using this formalism, the resistive layer equations are derived for a straight tokamak with arbitrary pressure. The marginal ideal stability criterion is found to be in agreement with the result derived by Hameiri [J. Math. Phys. 22 (1981)]. The ordering required to recover the "constant-psi" tearing mode is shown, together with leading order corrections to the critical delta primed for tearing mode instability. The effects of rotation and velocity shear on island formation are discussed for a large class of resistive instabilities.


March 16-18, 2015
The Courant Institute, New York University