GENERATION OF MAGNETIC FIELD BY THE COUETTE-POISEUILLE FLOW OF A CONDUCTING FLUID FOR LARGE REYNOLDS NUMBERS

Abstract

I continue the previous study of the kinematic dynamo problem for the Couette-Poiseuille flow of an electrically conducting fluid. Asymptotic methods were used to analyze the magnetic field generation by this flow for large Reynolds magnetic number, showing a good agreement with computer modeling. Here I present a strict analytical proof of the existence of the slow dynamo using a new approach to the asymptotic decomposition of eigenvalues and eigenfunctions in the boundary-value problem describing the generation of the magnetic field.

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Computational Seismology, Vol. 2.