Inertial manifolds and completeness of eigenmodes for unsteady magnetic dynamos

@inproceedings{Liu2004InertialMA,
  title={Inertial manifolds and completeness of eigenmodes for unsteady magnetic dynamos},
  author={Weijiu Liu and George Haller},
  year={2004}
}
We prove the emergence of asymptotic spatial patterns in magnetic dynamos generated by unsteady fluid flows. The patterns emerge because solutions of the dynamo equation converge exponentially to a time-dependent inertial manifold. This inertial manifold exists for general time-aperiodic velocity fields under a spectral gap condition on the associated… CONTINUE READING