Work

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

Year: 2023

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2401.00332

Authors: Foldes, Juraj, Sy, Mouhamadou

Institutions: African Institute for Mathematical Sciences Senegal, University of Virginia

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4390528663

Cites:

Cited by:

Related to: 10