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arXiv · 2605.04526

Source-Driven Transitions in Axisymmetric Euler Flow

Rishad Shahmurov
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Abstract

We study a finite-time source-driven transition in axisymmetric Euler flow with swirl. For an explicit smooth compact datum, we prove exact source, moment-return, fixed-label transport, and response identities. For the same frozen finite reference, interval arithmetic gives continuum derivative bounds and a terminal scalar-trace enclosure. Under the remaining global comparison hypotheses, these estimates imply contraction of two fixed material labels and a finite-radius outgoing level set. We state separately the unresolved steps: global defect enclosure, sufficient next-block admission, cylindrical whole-space realization, and repeated regeneration from one datum. No whole-space Euler singularity is claimed

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Rishad Shahmurov. 2026-09-10. Source-Driven Transitions in Axisymmetric Euler Flow. https://arxiv.org/abs/2605.04526

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