The dissipative quasi-geostrophic equation in weak Morrey spaces

DOI10.1007/s10114-007-0973-1zbMath1143.35352OpenAlexW2160161324MaRDI QIDQ925952

Bao-Quan Yuan

Publication date: 26 May 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-0973-1

zbMATH Keywords

global well-posednessdissipative quasi-geostrophic equationweak Morrey spaces

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) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

Related Items (1)

Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations

Cites Work

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• Well-posedness for the 2D dissipative quasigeostrophic equations in the Besov space
• Two-dimensional Navier-Stokes flow with measures as initial vorticity
• A maximum principle applied to quasi-geostrophic equations
• Global well-posedness in the super-critical dissipative quasi-geostrophic equations
• Weak Morrey spaces and strong solutions to the Navier-Stokes equations
• Solutions of the 2D quasi-geostrophic equation in Hölder spaces
• Some new functional spaces
• On the critical dissipative quasi-geostrophic equation
• Quasi-geostrophic-type equations with initial data in Morrey spaces
• Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
• The quasi-geostrophic equation in the Triebel Lizorkin spaces
• Behavior of Solutions of 2D Quasi-Geostrophic Equations
• Surface quasi-geostrophic dynamics

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