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arXiv · 2401.00332

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

Juraj Foldes·Mouhamadou Sy
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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.

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Juraj Foldes, Mouhamadou Sy. 2023-12-30. Almost sure global well-posedness for 3D Euler equation and other fluid dynamics models. https://arxiv.org/abs/2401.00332

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