## Mathematical Problems in the Geophysical Sciences: Inverse problems, dynamo theory, and tides |

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a-effect adjoint amplitude approximation assume atmospheric tides average axisymmetric Borel subset Braginskii calculate closed subspace component constant core Coriolis force cos2 curl cylinder measure defined denote density dimensional diurnal dynamo action Earth equation equivalent depth error estimate excitation Figure finite finite-dimensional subspace flow fluid frequency geomagnetic geophysical gravity harmonic Hilbert space horizontal Hough Functions hydromagnetic integrable inverse Kelvin wave Krause latitude Lindzen linear quelling Lorentz force lunar magnetic field marginal distribution measure space modes motion nonlinear normal observed obtain ocean oscillations P. H. Roberts phase plane Poincare wave poloidal precession prediction probability measure problem radius real numbers Reidel Publ Reynolds number rotation satisfies semidiurnal solar solution sphere spherical Steenbeck subjective probability distribution subspace Suppose Sverdrup wave symmetric Theorem theory thermal tidal force toroidal turbulence values vanishes variance tensor variation vector velocity vertical zero