Well-posedness for a stochastic 2D Euler equation with transport noise
File(s)
Author(s)
Lang, Oana
Crisan, Dan
Type
Journal Article
Abstract
We prove the existence of a unique global strong solution for a stochastic two-dimensional Euler vorticity equation for incompressible flows with noise of transport type. In particular, we show that the initial smoothness of the solution is preserved. The arguments are based on approximating the solution of the Euler equation with a family of viscous solutions which is proved to be relatively compact using a tightness criterion by Kurtz.
Date Issued
2023-06
Date Acceptance
2021-11-18
Citation
Stochastics and Partial Differential Equations: Analysis and Computations, 2023, 11 (2), pp.433-480
ISSN
2194-0401
Publisher
Springer
Start Page
433
End Page
480
Journal / Book Title
Stochastics and Partial Differential Equations: Analysis and Computations
Volume
11
Issue
2
Copyright Statement
© The Author(s) 2022. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
License URL
Identifier
https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000749034700001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=a2bf6146997ec60c407a63945d4e92bb
Subjects
Euler equation
EVOLUTION-EQUATIONS
EXISTENCE
Incompressible fluids
Mathematics
Mathematics, Applied
Physical Sciences
Science & Technology
Statistics & Probability
Stochastic fluid equations
Transport noise
UNIQUENESS
Publication Status
Published
Date Publish Online
2022-01-29