Tearing Modes

We begin with the reduced MHD equations

ρt=p1+J1×B+J×B1\begin{aligned} \rho \partial_{t} = \vec{\nabla} p_{1} + \vec{J}_{1} \times \vec{B} + \vec{J} \times \vec{B}_{1} \end{aligned}

Linear Tearing Modes

No Equilibrium Flow

Shear & Radial Flows

Nonlinear Tearing Modes

Magnetic Islands

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