The three-dimensional Euler equations: singular or non-singular?
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Publication:3519477
DOI10.1088/0951-7715/21/8/T02zbMath1160.35498MaRDI QIDQ3519477
Miguel D. Bustamante, Robert M. Kerr, John D. Gibbon
Publication date: 14 August 2008
Published in: Nonlinearity (Search for Journal in Brave)
PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)
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Transient growth in stochastic Burgers flows ⋮ Development of high vorticity structures in incompressible 3D Euler equations ⋮ Maximum palinstrophy growth in 2D incompressible flows ⋮ Searching for singularities in Navier-Stokes flows based on the Ladyzhenskaya-Prodi-Serrin conditions ⋮ Role of pressure in the dynamics of intense velocity gradients in turbulent flows ⋮ Systematic search for singularities in 3D Euler flows ⋮ Extreme vortex states and the growth of enstrophy in three-dimensional incompressible flows ⋮ Maximum rate of growth of enstrophy in solutions of the fractional Burgers equation ⋮ On maximum enstrophy growth in a hydrodynamic system ⋮ On complex singularities of the 2D Euler equation at short times ⋮ 3D Euler equations and ideal MHD mapped to regular systems: probing the finite-time blowup hypothesis ⋮ Maximum amplification of enstrophy in three-dimensional Navier–Stokes flows ⋮ Finite-time singularity formation for strong solutions to the axi-symmetric \(3D\) Euler equations ⋮ Fluid dynamics on logarithmic lattices
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