Local well-posedness for the generalized surface quasi-geostrophic equation with singular velocity in optimal space

DOI10.1016/j.jmaa.2016.05.058zbMath1347.35087OpenAlexW2410305792MaRDI QIDQ302022

Houyu Jia, Renhui Wan

Publication date: 4 July 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.05.058

zbMATH Keywords

borderline spacegeneralized SQG equation

Mathematics Subject Classification ID

Initial value problems for nonlinear higher-order PDEs (35G25) Fractional partial differential equations (35R11)

Cites Work

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• Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations
• Local well-posedness for the 2D non-dissipative quasi-geostrophic equation in Besov spaces
• On the local existence for an active scalar equation
• Global solutions of the super-critical 2D quasi-geostrophic equation in Besov spaces
• Generalized surface quasi-geostrophic equations with singular velocities
• Fourier Analysis and Nonlinear Partial Differential Equations
• Classical Fourier Analysis
• Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
• Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
• On the Transport Equations with Singular/Regular Nonlocal Velocities

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