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Solution properties of a 3D stochastic euler fluid equation
| File | Description | Size | Format | |
|---|---|---|---|---|
 Crisan2018_Article_SolutionPropertiesOfA3DStochas.pdf | Published version | 1.34 MB | Adobe PDF | View/Open |
| 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: | 15-Jun-2019 |
| Date of Acceptance: | 10-Oct-2018 |
| URI: | http://hdl.handle.net/10044/1/63498 |
| DOI: | 10.1007/s00332-018-9506-6 |
| 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. |
| Sponsor/Funder: | Engineering & Physical Science Research Council (EPSRC) |
| Funder's Grant Number: | EP/N023781/1 |
| Keywords: | 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 |
| Open Access location: | https://doi.org/10.1007/s00332-018-9506-6 |
| Online Publication Date: | 2018-10-20 |
| Appears in Collections: | Pure Mathematics Applied Mathematics and Mathematical Physics Faculty of Natural Sciences Mathematics |