Constructs C^α self-similar blowup profiles for 3D Euler vorticity without swirl and proves asymptotically self-similar blowup from C_c^α data, with limiting factorization as α→(1/3)^-.
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5 Pith papers cite this work. Polarity classification is still indexing.
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math.AP 5years
2026 5representative citing papers
Constructs C^∞ self-similar blowup profiles for 1D models of 3D Euler at α=1/3 using fixed-point around a numerical approximation, plus nearby exact profiles for α slightly below 1/3.
Numerical construction of unstable self-similar axially symmetric swirl-free solutions to the incompressible Navier-Stokes equations on R^3 with global pointwise residuals of order 10^{-10}.
Introduces a matrix-clock criterion and reduces it to a scalar clock inequality that rules out finite-time collapse of the deformation gradient for conditional C^{1,α} axisymmetric Euler solutions when α ≥ 1/3.
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Asymptotically Self-Similar Blowup for 3D Incompressible Euler with $C^{1, 1/3-}$ Velocity I: $C^{\infty}$ 1D Limiting Profiles
Constructs C^∞ self-similar blowup profiles for 1D models of 3D Euler at α=1/3 using fixed-point around a numerical approximation, plus nearby exact profiles for α slightly below 1/3.