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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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.
Finite-time Type-I blowup is proven for 3D incompressible Euler equations with initial data in C^{1,α} (α < 1/3) in the axisymmetric no-swirl class, using a Lagrangian clock-and-strain framework that yields explicit blowup rates.
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Asymptotically Self-Similar Blowup for 3D Incompressible Euler with $C^{1, 1/3-}$ Velocity II: 3D Profiles, Blowup, and Limiting behavior
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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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.
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Incompressible Euler Blowup at the $C^{1,\frac{1}{3}}$ Threshold
Finite-time Type-I blowup is proven for 3D incompressible Euler equations with initial data in C^{1,α} (α < 1/3) in the axisymmetric no-swirl class, using a Lagrangian clock-and-strain framework that yields explicit blowup rates.