@article{e9c10e895d36412c80720e31d8820720,
title = "Unsteady dynamo effects at large magnetic reynolds number",
abstract = "In this paper we show that the adjoint formulation of the Stretch-Fold-Shear (SFS) fast dynamo model has smooth eigenfunctions at zero diffusivity. We thus compute fast dynamo action with smooth fields. We note that the adjoint problem is equivalent to use of a vector potential in reversed flow. We compare this behavior with analogous results for general pulsed-flow models. Some calculations using pulsed Beltrami waves are described.",
keywords = "Beltrami flows, Fast dynamos",
author = "B. Bayly and S. Childress",
note = "Funding Information: We thank Andrew Gilbert. John Finn, and Mike Proctor for helpful discussions. This work was supported by the National Science Foundation under contracts No. DMS-83 1-2229 and No. DMS-850-4033, and by the National Aeronautics and Space Administration under contract No. NASA-NAGU-781, at the Courant Institute of Mathematical Sciences. New York University, The large scale computations were performed, with the support of National Science Foundation contract No. DMS-841-1169, on the Cray XMP machines of the National Center for Atmospheric Research. Research support from the Arizona Center for Mathematical Sciences, sponsored by AFOSR Contract F49620-86-CO130 with the University Research Initiative Program at the University of Arizona, is gratefully acknowledged.",
year = "1989",
month = dec,
doi = "10.1080/03091928908243461",
language = "English (US)",
volume = "49",
pages = "23--43",
journal = "Geophysical and Astrophysical Fluid Dynamics",
issn = "0309-1929",
publisher = "Taylor and Francis Ltd.",
number = "1-4",
}