Global Unique Solutions with Instantaneous Loss of Regularity for SQG with Fractional Diffusion

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2024年9月25日

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Diego Córdoba,
Luis Martínez-Zoroa

摘要

In this work we construct global unique solutions of the dissipative Surface quasi-geostrophic equation ( $\alpha $ $α$ -SQG) that lose regularity instantly when there is super-critical fractional diffusion.