Remarks on the helicity of the 3-D incompressible Euler equations

DOI10.1007/s00220-003-0910-9zbMath1078.76013OpenAlexW2078914486MaRDI QIDQ1416934

Donghao Chae

Publication date: 16 December 2003

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

Full work available at URL: https://doi.org/10.1007/s00220-003-0910-9

zbMATH Keywords

regularityweak solutionhelicity conservation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items

On the conserved quantities for the weak solutions of the Euler equations and the quasi-geostrophic equations, Energy conservation for the generalized surface quasi-geostrophic equation, On the Helicity conservation for the incompressible Euler equations, Dissipative anomalies in singular Euler flows, Geometrical statistics and vortex structures in helical and nonhelical turbulences, On the weak solutions to the Maxwell-Landau-Lifshitz equations and to the Hall-Magneto-Hydrodynamic equations, Hölder regularity of helicity for the incompressible flows

Cites Work

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• Onsager's conjecture on the energy conservation for solutions of Euler's equation
• Topological methods in hydrodynamics
• Weak solutions with decreasing energy of incompressible Euler equations
• Vorticity and Incompressible Flow
• Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations