On the 3D Navier-Stokes equations with a linear multiplicative noise and prescribed energy
Berkemeier SE (2023)
Journal of Evolution Equations 23(2): 43.
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| Veröffentlicht | Englisch
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Abstract / Bemerkung
For a prescribed deterministic kinetic energy, we use convex integration to construct analytically weak and probabilistically strong solutions to the 3D incompressible Navier-Stokes equations driven by a linear multiplicative stochastic forcing. These solutions are defined up to an arbitrarily large stopping time and have deterministic initial values, which are part of the construction. Moreover, by a suitable choice of different kinetic energies which coincide on an interval close to time 0, we obtain non-uniqueness.
Stichworte
Stochastic Navier-Stokes equations;
Multiplicative noise;
Kinetic;
energy;
Analytically weak solutions;
Probabilistically strong solutions;
Non-uniqueness;
Convex integration
Erscheinungsjahr
2023
Zeitschriftentitel
Journal of Evolution Equations
Band
23
Ausgabe
2
Art.-Nr.
43
Urheberrecht / Lizenzen
ISSN
1424-3199
eISSN
1424-3202
Finanzierungs-Informationen
Open-Access-Publikationskosten wurden durch die Universität Bielefeld im Rahmen des DEAL-Vertrags gefördert.
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https://pub.uni-bielefeld.de/record/2980531
Zitieren
Berkemeier SE. On the 3D Navier-Stokes equations with a linear multiplicative noise and prescribed energy. Journal of Evolution Equations . 2023;23(2): 43.
Berkemeier, S. E. (2023). On the 3D Navier-Stokes equations with a linear multiplicative noise and prescribed energy. Journal of Evolution Equations , 23(2), 43. https://doi.org/10.1007/s00028-023-00884-0
Berkemeier, Stefanie Elisabeth. 2023. “On the 3D Navier-Stokes equations with a linear multiplicative noise and prescribed energy”. Journal of Evolution Equations 23 (2): 43.
Berkemeier, S. E. (2023). On the 3D Navier-Stokes equations with a linear multiplicative noise and prescribed energy. Journal of Evolution Equations 23:43.
Berkemeier, S.E., 2023. On the 3D Navier-Stokes equations with a linear multiplicative noise and prescribed energy. Journal of Evolution Equations , 23(2): 43.
S.E. Berkemeier, “On the 3D Navier-Stokes equations with a linear multiplicative noise and prescribed energy”, Journal of Evolution Equations , vol. 23, 2023, : 43.
Berkemeier, S.E.: On the 3D Navier-Stokes equations with a linear multiplicative noise and prescribed energy. Journal of Evolution Equations . 23, : 43 (2023).
Berkemeier, Stefanie Elisabeth. “On the 3D Navier-Stokes equations with a linear multiplicative noise and prescribed energy”. Journal of Evolution Equations 23.2 (2023): 43.
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