Global unique solutions with instantaneous loss of regularity for SQG with fractional diffusion

2023/03/13 by Diego Córdoba, Córdoba, Diego, Luis Martínez-Zoroa +1 · 1 citation
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2303.07178

openalex publication_date 2023/03/13 · openalex created_date 2023/03/16 · openalex updated_date 2026/07/28

Abstract

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

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