Solution properties of a 3D stochastic euler fluid equation

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Title: Solution properties of a 3D stochastic euler fluid equation
Authors: Crisan, D
Flandoli, F
Holm, DD
Item Type: Journal Article
Abstract: We prove local well-posedness in regular spaces and a Beale–Kato–Majda blow-up criterion for a recently derived stochastic model of the 3D Euler fluid equation for incompressible flow. This model describes incompressible fluid motions whose Lagrangian particle paths follow a stochastic process with cylindrical noise and also satisfy Newton’s second law in every Lagrangian domain.
Issue Date: 20-Oct-2018
Date of Acceptance: 10-Oct-2018
ISSN: 0938-8974
Publisher: Springer
Journal / Book Title: Journal of Nonlinear Science
Copyright Statement: © 2018 The Author(s). This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: EP/N023781/1
Keywords: math-ph
0102 Applied Mathematics
Fluids & Plasmas
Publication Status: Published online
Open Access location:
Online Publication Date: 2018-10-20
Appears in Collections:Pure Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences

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