David Villringer

Spectral Instability in the Smooth Ponomarenko Dynamo

Abstract We consider the kinematic dynamo equations for a passive vector in $$\mathcal {M} \times \mathbb {T} \subseteq \mathbb {R}^2 \times \mathbb {T}$$ M × T ⊆ R 2 × T describing the evolution of a magnetic field with resistivity $$\varepsilon > 0$$ ε > 0 , that is transported...