Solution properties of a 3D stochastic euler fluid equation
File(s)Crisan2018_Article_SolutionPropertiesOfA3DStochas.pdf (1.3 MB)
Published version
OA Location
Author(s)
Crisan, D
Flandoli, F
Holm, DD
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.
Date Issued
2019-06-15
Date Acceptance
2018-10-10
Citation
Journal of Nonlinear Science, 2019, 29 (3), pp.813-870
ISSN
0938-8974
Publisher
Springer
Start Page
813
End Page
870
Journal / Book Title
Journal of Nonlinear Science
Volume
29
Issue
3
Copyright Statement
© 2018 The Author(s). This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), 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.
License URL
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Grant Number
EP/N023781/1
Subjects
Science & Technology
Physical Sciences
Technology
Mathematics, Applied
Mechanics
Physics, Mathematical
Mathematics
Physics
Analytical properties
Stochastic fluid equations
Lie derivative estimates
MODELS
math-ph
math-ph
math.AP
math.MP
physics.flu-dyn
0102 Applied Mathematics
Fluids & Plasmas
Publication Status
Published
Date Publish Online
2018-10-20