Global solutions for random vorticity equations perturbed by gradient dependent noise, in two and three dimensions

The aim of this work is to prove an existence and uniqueness result of Kato–Fujita type for the Navier–Stokes equations, in vorticity form, in 2 D and 3 D , perturbed by a gradient-type multiplicative Gaussian noise (for sufficiently small initial vorticity). These equations are considered in order...

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Veröffentlicht in:	Journal of evolution equations 2020-09, Vol.20 (3), p.1173-1194
Hauptverfasser:	Munteanu, Ionuţ, Röckner, Michael
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Computational fluid dynamics Fluid flow Mathematics Mathematics and Statistics Navier-Stokes equations Noise Random noise Vorticity equations
Online-Zugang:	Volltext
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