On the geometry of solutions of the quasi-geostrophic and Euler equations

DOI10.1073/pnas.94.24.12769zbMath0888.35083OpenAlexW1964323591WikidataQ36709107 ScholiaQ36709107MaRDI QIDQ4374977

Diego Cordoba

Publication date: 26 January 1998

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.94.24.12769

zbMATH Keywords

incompressible three-dimensional Euler equationsimple hyperbolic saddlestwo-dimensional quasi-geostrophic thermal active scalar equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Analyticity in context of PDEs (35A20)

Related Items (3)

An Eulerian-Lagrangian approach for incompressible fluids: Local theory ⋮ Nonsingular surface quasi-geostrophic flow ⋮ Invariant measures and global well posedness for the SQG equation

Cites Work

• Unnamed Item
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• A two-dimensional model for quasigeostrophic flow: Comparison with the two-dimensional Euler flow
• Nonlinear inviscid incompressible dynamics
• Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
• A simple one‐dimensional model for the three‐dimensional vorticity equation
• Geometric constraints on potentially
• Inviscid and inviscid-limit behavior of a surface quasigeostrophic flow

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