Smooth global Lagrangian flow for the 2D Euler and second-grade fluid equations |
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Institution: | Department of Mathematics University of California, Davis, CA 95616, U.S.A. |
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Abstract: | We present a very simple proof of the global existence of a C∞ Lagrangian flow map for the 2D Euler and second-grade fluid equations (on a compact Riemannian manifold with boundary) which has C∞ dependence on initial data u0 in the class of Hs divergence-free vector fields for s > 2. |
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