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Delayed Blow-up in 3D Fluids via Pseudo-transport Noise

Probability 2026-05-28 v1

Abstract

We establish scaling limit results for fluid dynamics equations driven by pseudo-transport noise. The behaviour of noise at small scales is governed by a parameter a. This extends previous results by Flandoli and Luo (2020) and Galeati (2020), which correspond to a=0 in our setting. Depending on the value of a, we prove that the noise delays the potential blow-up of both the 3D Euler and Navier-Stokes (NS) equations with high probability.

Keywords

Cite

@article{arxiv.2605.28194,
  title  = {Delayed Blow-up in 3D Fluids via Pseudo-transport Noise},
  author = {Shuaijie Jiao and Marco Romito},
  journal= {arXiv preprint arXiv:2605.28194},
  year   = {2026}
}

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51 pages