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- W3100558442 abstract "We demonstrate that the surface quasi-geostrophic (SQG) equation given by $$theta_t + leftlangle u, nabla thetarightrangle = 0,quad theta = nabla times (-Delta)^{-1/2} u,$$ is the geodesic equation on the group of volume-preserving diffeomorphisms of a Riemannian manifold M in the right-invariant $${dot{H}^{-1/2}}$$ metric. We show by example, that the Riemannian exponential map is smooth and non-Fredholm, and that the sectional curvature at the identity is unbounded of both signs." @default.
- W3100558442 created "2020-11-23" @default.
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- W3100558442 date "2016-06-16" @default.
- W3100558442 modified "2023-10-14" @default.
- W3100558442 title "The SQG Equation as a Geodesic Equation" @default.
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- W3100558442 doi "https://doi.org/10.1007/s00205-016-1020-0" @default.
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