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
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Einrichtung
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
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 .
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).
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