Global well-posedness of slightly supercritical active scalar equations

DOI10.2140/apde.2014.7.43zbMath1294.35092arXiv1203.6302OpenAlexW2014164199MaRDI QIDQ2509670

Michael G. Dabkowski, Luis Silvestre, Alexander Kiselev, Vlad C. Vicol

Publication date: 29 July 2014

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.6302

zbMATH Keywords

Burgers equation global regularity finite time blow-up SQG equation nonlocal maximum principle supercritical dissipation nonlocal dissipation surface quasigeostrophic equation active scalars

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Maximum principles in context of PDEs (35B50) General theory of rotating fluids (76U05) Blow-up in context of PDEs (35B44) Euler equations (35Q31)

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