Global existence and non-uniqueness for the Cauchy problem associated to 3D Navier-Stokes equations perturbed by transport noise

Pappalettera, Umberto

Global existence and non-uniqueness for the Cauchy problem associated to 3D Navier-Stokes equations perturbed by transport noise

Pappalettera U (2023)
Stochastics and Partial Differential Equations : Analysis and Computations .

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch

Download

s40072-023-00318-5.pdf 557.72 KB

DOI

https://doi.org/10.1007/s40072-023-00318-5

URN

urn:nbn:de:0070-pub-29858820

Autor*in

Pappalettera, Umberto^UniBi

Einrichtung

Fakultät für Mathematik

Abstract / Bemerkung

We show global existence and non-uniqueness of probabilistically strong, analytically weak solutions of the three-dimensional Navier-Stokes equations perturbed by Stratonovich transport noise. We can prescribe either: (i) any divergence-free, square integrable intial condition; or (ii) the kinetic energy of solutions up to a stopping time, which can be chosen arbitrarily large with high probability. Solutions enjoy some Sobolev regularity in space but are not Leray-Hopf.

Stichworte

Navier-Stokes equations; Transport noise; Convex integration

Erscheinungsjahr

2023

Zeitschriftentitel

Stochastics and Partial Differential Equations : Analysis and Computations

ISSN

2194-0401

eISSN

2194-041X

Finanzierungs-Informationen

Open-Access-Publikationskosten wurden durch die Universität Bielefeld im Rahmen des DEAL-Vertrags gefördert.

Page URI

https://pub.uni-bielefeld.de/record/2985882

Zitieren

Pappalettera U. Global existence and non-uniqueness for the Cauchy problem associated to 3D Navier-Stokes equations perturbed by transport noise. Stochastics and Partial Differential Equations : Analysis and Computations . 2023.

Pappalettera, U. (2023). Global existence and non-uniqueness for the Cauchy problem associated to 3D Navier-Stokes equations perturbed by transport noise. Stochastics and Partial Differential Equations : Analysis and Computations . https://doi.org/10.1007/s40072-023-00318-5

Pappalettera, Umberto. 2023. “Global existence and non-uniqueness for the Cauchy problem associated to 3D Navier-Stokes equations perturbed by transport noise”. Stochastics and Partial Differential Equations : Analysis and Computations .

Pappalettera, U., 2023. Global existence and non-uniqueness for the Cauchy problem associated to 3D Navier-Stokes equations perturbed by transport noise. Stochastics and Partial Differential Equations : Analysis and Computations .

U. Pappalettera, “Global existence and non-uniqueness for the Cauchy problem associated to 3D Navier-Stokes equations perturbed by transport noise”, Stochastics and Partial Differential Equations : Analysis and Computations , 2023.

Pappalettera, U.: Global existence and non-uniqueness for the Cauchy problem associated to 3D Navier-Stokes equations perturbed by transport noise. Stochastics and Partial Differential Equations : Analysis and Computations . (2023).

Pappalettera, Umberto. “Global existence and non-uniqueness for the Cauchy problem associated to 3D Navier-Stokes equations perturbed by transport noise”. Stochastics and Partial Differential Equations : Analysis and Computations (2023).

Alle Dateien verfügbar unter der/den folgenden Lizenz(en):

Copyright Statement: