The 2D dissipative quasi-geostrophic equation

DOI10.1016/S0893-9659(02)00065-4zbMath1016.35060MaRDI QIDQ1861827

Jiahong Wu

Publication date: 10 March 2003

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacesinitial value problemglobal existence and uniqueness2D quasi-geostrophic equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items

A logarithmically improved regularity criterion for the supercritical quasi-geostrophic equations in Besov space ⋮ Decay results of the nonstationary Navier-Stokes flows in half-spaces ⋮ Weak-strong uniqueness criteria for the critical quasi-geostrophic equation ⋮ Decay of weak solutions to the 2D dissipative quasi-geostrophic equation ⋮ Uniqueness criterion of weak solutions for the dissipative quasi-geostrophic equations in Orlicz–Morrey spaces ⋮ Nonlinear instability for the critically dissipative quasi-geostrophic equation ⋮ Self-similar solutions and large time asymptotics for the dissipative quasi-geostrophic equation ⋮ The maximum principle and the global attractor for the dissipative 2D quasi-geostrophic equations ⋮ The global well-posedness of the modified quasi-geostrophic equation in frequency spaces ⋮ The global strong solutions of Hasegawa-Mima-Charney-Obukhov equation

Cites Work

• Nonexistence of simple hyperbolic blow-up for the quasi-geostrophic equation
• On the critical dissipative quasi-geostrophic equation
• Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
• Behavior of Solutions of 2D Quasi-Geostrophic Equations
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