Regularization by Noise of an Averaged Version of the Navier-Stokes Equations

Lange T (2023)
Journal of Dynamics and Differential Equations .

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
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Abstract / Bemerkung
In Tao 2016, the author constructs an averaged version of the deterministic three-dimensional Navier-Stokes equations (3D NSE) which experiences blow-up in finite time. In the last decades, various works have studied suitable perturbations of ill-behaved deterministic PDEs in order to prevent or delay such behavior. A promising example is given by a particular choice of stochastic transport noise closely studied in Flandoli et al. 2021. We analyze the model in Tao 2016 in view of these results and discuss the regularization skills of this noise in the context of the averaged 3D NSE.
Stichworte
Transport noise; Regularization by noise; 3D Navier-Stokes equations
Erscheinungsjahr
2023
Zeitschriftentitel
Journal of Dynamics and Differential Equations
ISSN
1040-7294
eISSN
1572-9222
Finanzierungs-Informationen
Open-Access-Publikationskosten wurden durch die Universität Bielefeld im Rahmen des DEAL-Vertrags gefördert.
Page URI
https://pub.uni-bielefeld.de/record/2978096

Zitieren

Lange T. Regularization by Noise of an Averaged Version of the Navier-Stokes Equations. Journal of Dynamics and Differential Equations . 2023.
Lange, T. (2023). Regularization by Noise of an Averaged Version of the Navier-Stokes Equations. Journal of Dynamics and Differential Equations . https://doi.org/10.1007/s10884-023-10255-5
Lange, Theresa. 2023. “Regularization by Noise of an Averaged Version of the Navier-Stokes Equations”. Journal of Dynamics and Differential Equations .
Lange, T. (2023). Regularization by Noise of an Averaged Version of the Navier-Stokes Equations. Journal of Dynamics and Differential Equations .
Lange, T., 2023. Regularization by Noise of an Averaged Version of the Navier-Stokes Equations. Journal of Dynamics and Differential Equations .
T. Lange, “Regularization by Noise of an Averaged Version of the Navier-Stokes Equations”, Journal of Dynamics and Differential Equations , 2023.
Lange, T.: Regularization by Noise of an Averaged Version of the Navier-Stokes Equations. Journal of Dynamics and Differential Equations . (2023).
Lange, Theresa. “Regularization by Noise of an Averaged Version of the Navier-Stokes Equations”. Journal of Dynamics and Differential Equations (2023).
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2024-08-01T07:16:45Z
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