On the finite-time singularities of the 3D incompressible Euler equations

DOI10.1002/cpa.20138zbMath1124.35048OpenAlexW2042562946MaRDI QIDQ3437020

Donghao Chae

Publication date: 11 May 2007

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.20138

zbMATH Keywords

finite-time singularitiesenstrophy blowupfinite-time vorticity blowup

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Analyticity in context of PDEs (35A20) Euler-Poisson-Darboux equations (35Q05)

Related Items (8)

Development of high vorticity structures in incompressible 3D Euler equations ⋮ Evolutions of the momentum density, deformation tensor and the nonlocal term of the Camassa-Holm equation ⋮ On finite time singularity and global regularity of an axisymmetric model for the 3D Euler equations ⋮ The three-dimensional Euler equations: Where do we stand? ⋮ Numerical study on the incompressible Euler equations as a Hamiltonian system: Sectional curvature and Jacobi field ⋮ 3D Euler equations and ideal MHD mapped to regular systems: probing the finite-time blowup hypothesis ⋮ Remarks on type I blow-up for the 3D Euler equations and the 2D Boussinesq equations ⋮ On the singularity problem for the Euler equations

Cites Work

• Vorticity and Incompressible Flow
• Geometric constraints on potentially
• Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet

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