Abstract
The temporal evolution of the hydrodynamic ion temperature gradient instability and resistive hydrodynamic drift instability of plasma flow with velocity shear is analytically investigated. The non-modal kinetic theory (Mikhailenko et al 2011 Phys. Plasmas 18 062103) is applied which uses the method of shearing modes (or so-called non-modal approach) as its foundation. In this theory, the velocity shear reveals as the time-dependent effect of the finite Larmor radius in the integral equation for the electrostatic potential, and resulted in the decrease with time the frequencies and the growth rates of the instabilities.
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