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Finite element approximation to the non-stationary quasi-geostrophic equation

Finite element approximation to the non-stationary quasi-geostrophic equation

In this paper, C1-conforming element methods are analyzed for the stream function formulation of a single layer non-stationary quasi-geostrophic equation in the ocean circulation model. In its first part, some new regularity results are derived, which show exponential decay property when the wind shear stress is zero or exponentially decaying. …