The paper proves finite-time singularity formation for smooth axisymmetric 3D Euler flow with swirl in R^3 by constructing an interior quadrupole blow-up mechanism localized away from the axis.
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math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Smooth exact-odd axisymmetric Euler flows with swirl develop finite-time boundary singularities from smooth initial data via a side-wall parametrix and dyadic cluster functional.
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Euler Singularities II: Interior Quadrupole Blow-Up for Smooth Axisymmetric Euler with Swirl in \texorpdfstring{$\mathbb R^3$}
The paper proves finite-time singularity formation for smooth axisymmetric 3D Euler flow with swirl in R^3 by constructing an interior quadrupole blow-up mechanism localized away from the axis.
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Euler Singularities I: Boundary Blow-Up for Smooth Exact-Odd Axisymmetric Euler with Swirl
Smooth exact-odd axisymmetric Euler flows with swirl develop finite-time boundary singularities from smooth initial data via a side-wall parametrix and dyadic cluster functional.