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On the stability of self-similar blow-up forC 1,α solutions to the incompressible Euler equations onR 3,

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2026 1

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Incompressible Euler Blowup at the $C^{1,\frac{1}{3}}$ Threshold

math.AP · 2026-03-11 · unverdicted · novelty 7.0

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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  • Incompressible Euler Blowup at the $C^{1,\frac{1}{3}}$ Threshold math.AP · 2026-03-11 · unverdicted · none · ref 12

    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.