Almost sure global well-posedness for 3D Euler equation and other fluid dynamics models

Juraj Foldes; Mouhamadou Sy

Almost sure global well-posedness for 3D Euler equation and other fluid dynamics models

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2401.00332 v1 pith:DV3MMIND submitted 2023-12-30 math.AP math.PR

Juraj Foldes , Mouhamadou Sy This is my paper · ORCID

classification math.APmath.PR

keywords equationsensembleseulerglobalmodelsalmostassociatedconstruct

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

We construct various statistical ensembles associated to the 3D Euler equations and prove global regularity of these equations for data living on these sets. Similar results are also proven for generalized SQG equations and some shell models. Qualitative properties of the ensembles and the constructed flows are also given.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Probabilistic global-wellposedness for the energy-supercritical Schr\"odinger equations on compact manifolds
math.AP 2025-02 conditional novelty 6.0 of 10

For energy-supercritical NLS on compact manifolds, the authors claim almost sure global well-posedness on a full measure set, with an invariant flow and polynomial-in-time Sobolev growth.

Pith tools