On the conserved quantities for the weak solutions of the Euler equations and the quasi-geostrophic equations

DOI10.1007/s00220-006-0018-0zbMath1109.76012OpenAlexW2084939860MaRDI QIDQ863151

Donghao Chae

Publication date: 25 January 2007

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-006-0018-0

zbMATH Keywords

Besov spaceTriebel-Lizorkin spaceNikolskii space

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

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Cites Work

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• Nonexistence of simple hyperbolic blow-up for the quasi-geostrophic equation
• Onsager's conjecture on the energy conservation for solutions of Euler's equation
• Topological methods in hydrodynamics
• Remarks on the helicity of the 3-D incompressible Euler equations
• Weak solutions with decreasing energy of incompressible Euler equations
• Vorticity and Incompressible Flow
• Inviscid limits and regularity estimates for the solutions of the 2-D dissipative quasi-geostrophic equations
• Geometric Statistics in Turbulence
• Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
• Growth of solutions for QG and 2D Euler equations
• The quasi-geostrophic equation in the Triebel Lizorkin spaces
• Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations

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