Local well-posedness for the 2D non-dissipative quasi-geostrophic equation in Besov spaces

DOI10.1016/j.na.2008.07.035zbMath1160.76053OpenAlexW2082374257MaRDI QIDQ1015816

Henggeng Wang, Houyu Jia

Publication date: 30 April 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.07.035

zbMATH Keywords

blow-up criterion

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05)

Related Items (7)

Local well-posedness for the generalized surface quasi-geostrophic equation with singular velocity in optimal space ⋮ Generalized surface quasi-geostrophic equations with singular velocities ⋮ Active vector models generalising 3D Euler and electron–MHD equations ⋮ Local well-posedness for the quasi-geostrophic equations in Besov-Lorentz spaces ⋮ On the well-posedness of the quasi-geostrophic equation in the Triebel-Lizorkin-Lorentz spaces ⋮ The well-posedness of the surface quasi-geostrophic equations in the Besov-Morrey spaces ⋮ Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations

Cites Work

• Global solutions of the super-critical 2D quasi-geostrophic equation in Besov spaces
• A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation
• UNIFORM ESTIMATES FOR TRANSPORT-DIFFUSION EQUATIONS
• Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
• The quasi-geostrophic equation in the Triebel Lizorkin spaces
• The two-dimensional quasi-geostrophic equation with critical or supercritical dissipation
• Inviscid and inviscid-limit behavior of a surface quasigeostrophic flow
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