On convex integration solutions to the surface quasi-geostrophic equation driven by generic additive noise

Bechtold F, Lange T, Wichmann J (2024)
Electronic Journal of Probability 29: 173.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
Download
OA 866.48 KB
Abstract / Bemerkung
We study the surface quasi-geostrophic equation driven by a generic additive noise process W. By means of convex integration techniques, we establish existence of weak solutions whenever the stochastic convolution z associated with W is well defined and fulfills certain regularity constraints. Quintessentially, we show that the so constructed solutions to the non-linear equation are controlled by z in a linear fashion. This allows us to deduce further properties of the so constructed solutions, without relying on structural probabilistic properties such as Gaussianity, Markovianity or a martingale property of the underlying noise W.
Stichworte
SQG equation; stochastic partial differential equations; additive noise; convex integration; stochastic fluid dynamics
Erscheinungsjahr
2024
Zeitschriftentitel
Electronic Journal of Probability
Band
29
Art.-Nr.
173
eISSN
1083-6489
Page URI
https://pub.uni-bielefeld.de/record/2987289

Zitieren

Bechtold F, Lange T, Wichmann J. On convex integration solutions to the surface quasi-geostrophic equation driven by generic additive noise. Electronic Journal of Probability . 2024;29: 173.
Bechtold, F., Lange, T., & Wichmann, J. (2024). On convex integration solutions to the surface quasi-geostrophic equation driven by generic additive noise. Electronic Journal of Probability , 29, 173. https://doi.org/10.1214/24-EJP1221
Bechtold, Florian, Lange, Theresa, and Wichmann, Jörn. 2024. “On convex integration solutions to the surface quasi-geostrophic equation driven by generic additive noise”. Electronic Journal of Probability 29: 173.
Bechtold, F., Lange, T., and Wichmann, J. (2024). On convex integration solutions to the surface quasi-geostrophic equation driven by generic additive noise. Electronic Journal of Probability 29:173.
Bechtold, F., Lange, T., & Wichmann, J., 2024. On convex integration solutions to the surface quasi-geostrophic equation driven by generic additive noise. Electronic Journal of Probability , 29: 173.
F. Bechtold, T. Lange, and J. Wichmann, “On convex integration solutions to the surface quasi-geostrophic equation driven by generic additive noise”, Electronic Journal of Probability , vol. 29, 2024, : 173.
Bechtold, F., Lange, T., Wichmann, J.: On convex integration solutions to the surface quasi-geostrophic equation driven by generic additive noise. Electronic Journal of Probability . 29, : 173 (2024).
Bechtold, Florian, Lange, Theresa, and Wichmann, Jörn. “On convex integration solutions to the surface quasi-geostrophic equation driven by generic additive noise”. Electronic Journal of Probability 29 (2024): 173.
Alle Dateien verfügbar unter der/den folgenden Lizenz(en):
Creative Commons Namensnennung 4.0 International Public License (CC-BY 4.0):
Volltext(e)
Name
Access Level
OA Open Access
Zuletzt Hochgeladen
2024-02-22T06:38:27Z
MD5 Prüfsumme
d6ee7041cce06e84d8ef050ba5efa848


Export

Markieren/ Markierung löschen
Markierte Publikationen

Open Data PUB

Web of Science

Dieser Datensatz im Web of Science®
Quellen

arXiv: 10.48550/ARXIV.2311.00670

Suchen in

Google Scholar