Brzezniak, Zdzislaw orcid.org/0000-0001-8731-6523, Flandoli, Franco and Maurelli, Mario (2016) Existence and uniqueness for stochastic 2D Euler flows with bounded vorticity. Archive for Rational Mechanics and Analysis. pp. 107-142. ISSN 0003-9527
Abstract
The strong existence and the pathwise uniqueness of solutions with (Formula presented.) -vorticity of the 2D stochastic Euler equations are proved. The noise is multiplicative and it involves the first derivatives. A Lagrangian approach is implemented, where a stochastic flow solving a nonlinear flow equation is constructed. The stability under regularizations is also proved.
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Copyright, Publisher and Additional Information: | © Springer-Verlag. This is an author-produced version of a paper accepted for publication. Uploaded with permission of the publisher/copyright holder. Further copying may not be permitted; contact the publisher for details |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
Depositing User: | Pure (York) |
Date Deposited: | 03 May 2016 11:16 |
Last Modified: | 06 Dec 2023 11:19 |
Published Version: | https://doi.org/10.1007/s00205-015-0957-8 |
Status: | Published |
Refereed: | Yes |
Identification Number: | https://doi.org/10.1007/s00205-015-0957-8 |
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