On the local existence for an active scalar equation

DOI10.1016/j.crma.2014.12.008zbMath1311.35196OpenAlexW2141748427MaRDI QIDQ2338979

Weiwei Hu, Igor Kukavica, Mohammed Ziane

Publication date: 27 March 2015

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2014.12.008

zbMATH Keywords

Euler equationquasi-geostrophic equation

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Euler equations (35Q31)

Related Items (4)

Local well-posedness for the generalized surface quasi-geostrophic equation with singular velocity in optimal space ⋮ Long-time asymptotic behavior of the generalized two-dimensional quasi-geostrophic equation ⋮ On the existence, uniqueness, and smoothing of solutions to the generalized SQG equations in critical Sobolev spaces ⋮ On local well-posedness of logarithmic inviscid regularizations of generalized SQG equations in borderline Sobolev spaces

Cites Work

• Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations
• Eventual regularization for the slightly supercritical quasi-geostrophic equation
• Vorticity and Incompressible Flow
• Logarithmically regularized inviscid models in borderline sobolev spaces
• Global well-posedness for a slightly supercritical surface quasi-geostrophic equation
• Generalized surface quasi-geostrophic equations with singular velocities
• Commutator estimates and the euler and navier-stokes equations
• Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar

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