αω-Dynamos and Taylor's constraint

Plane layer αω-dynamo models are investigated. Travelling wave solutions are found: two critical dynamo numbers are shown to exist. At the first, D c, dynamo action becomes possible. As D is increased above D c, a regime is entered where core-mantle coupling is an essential part of the problem. At a second critical dynamo number, D T, Taylor's constraint is satisfied. As D is raised beyond this value, nonlinear inviscid ageostrophic solutions satisfying Taylor's constraint have been computed.