Nonlinear Kelvin-Helmholtz magnetohydrodynamic instability of a rotating plasma

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Kelvin-Helmholtz Instability, Magnetohydrodynamic Stability, Nonuniform Plasmas, Rotating Plasmas, Gravitational Effects, Incompressible Fluids, Interfacial Tension, Inviscid Flow, Nonlinear Equations, Plasma Conductivity, Schroedinger Equation

Scientific paper

Nonlinear analysis of Kelvin-Helmholtz instability of an incompressible, inviscid, rotating fluid with infinite conductivity in the presence of gravity and surface tension has been discussed. The unperturbed magnetic field on two sides of the interface is taken to be uniform. The nonlinear Schrödinger equation for the time variation of amplitude of small perturbations with wave number around the neutral stability is derived. It is found that stability of a magnetised K-H rotating configuration depends on the density ratio, surface tension, and discontinuity of velocity and magnetic field. The effect of an aligned magnetic field and rotation on the non-linear instability of a rotating conducting plasma has been discussed in certain important limiting cases.

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