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- W2078692082 abstract "We prove the local-in-time well-posedness in the Triebel–Lizorkin spaces for the two-dimensional quasi-geostrophic equation. We also obtain a sharp finite time blow-up criterion of solutions both in the super-critical and the critical cases, which improve the previous one by Constantin et al (1994 Nonlinearrity 7 1495–533). In the proof of the results, we use Littlewood–Paley decomposition and the paradifferential calculus applied directly to the equation." @default.
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- W2078692082 date "2003-01-13" @default.
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- W2078692082 title "The quasi-geostrophic equation in the Triebel Lizorkin spaces" @default.
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- W2078692082 doi "https://doi.org/10.1088/0951-7715/16/2/307" @default.
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