Global L2-solutions of stochastic Navier–Stokes equations
R Mikulevicius, BL Rozovskii - 2005 - projecteuclid.org
This paper concerns the Cauchy problem in R d for the stochastic Navier–Stokes equation∂
_t\mathbf u= Δ\mathbf u−(\mathbf u,∇)\mathbf u−∇ p+\mathbf f (\mathbf u)+(σ,∇)\mathbf …
_t\mathbf u= Δ\mathbf u−(\mathbf u,∇)\mathbf u−∇ p+\mathbf f (\mathbf u)+(σ,∇)\mathbf …
An introduction to 3D stochastic fluid dynamics
S Albeverio, F Flandoli, YG Sinai, F Flandoli - SPDE in Hydrodynamic …, 2008 - Springer
An Introduction to 3D Stochastic Fluid Dynamics Page 1 An Introduction to 3D Stochastic Fluid
Dynamics Franco Flandoli Dipartimento Matematica Applicata “U. Dini”, Universit`a di Pisa …
Dynamics Franco Flandoli Dipartimento Matematica Applicata “U. Dini”, Universit`a di Pisa …
Existence of a martingale solution of the stochastic Navier–Stokes equations in unbounded 2D and 3D domains
Z Brzeźniak, E Motyl - Journal of Differential Equations, 2013 - Elsevier
Stochastic Navier–Stokes equations in 2D and 3D possibly unbounded domains driven by a
multiplicative Gaussian noise are considered. The noise term depends on the unknown …
multiplicative Gaussian noise are considered. The noise term depends on the unknown …
Stochastic evolution equations with a spatially homogeneous Wiener process
A semilinear parabolic equation on R d with a non-additive random perturbation is studied.
The noise is supposed to be a spatially homogeneous Wiener process. Conditions for the …
The noise is supposed to be a spatially homogeneous Wiener process. Conditions for the …
Stochastic Approach to Turbulence: A Comprehensive Review
A Poursina, A Pourjamal, A Bozorg - arXiv preprint arXiv:2211.12918, 2022 - arxiv.org
Since Kolmogorov's theory, turbulence has been studied using various methods, many of
which could be now be understood in a probabilistic framework. Herein, a comprehensive …
which could be now be understood in a probabilistic framework. Herein, a comprehensive …
Stochastic two dimensional Euler equations
Z Brzezniak, S Peszat - Annals of probability, 2001 - JSTOR
Stochastic Two Dimensional Euler Equations Page 1 The Annals of Probability 2001, Vol. 29,
No. 4, 1796-1832 STOCHASTIC TWO DIMENSIONAL EULER EQUATIONS BY ZDZISLAW …
No. 4, 1796-1832 STOCHASTIC TWO DIMENSIONAL EULER EQUATIONS BY ZDZISLAW …
Stochastic Navier–Stokes equations driven by Lévy noise in unbounded 3D domains
E Motyl - Potential Analysis, 2013 - Springer
Martingale solutions of the stochastic Navier–Stokes equations in 2D and 3D possibly
unbounded domains, driven by the Lévy noise consisting of the compensated time …
unbounded domains, driven by the Lévy noise consisting of the compensated time …
Stochastic Navier–Stokes equations for turbulent flows in critical spaces
In this paper we study the stochastic Navier–Stokes equations on the d-dimensional torus
with transport noise, which arise in the study of turbulent flows. Under very weak …
with transport noise, which arise in the study of turbulent flows. Under very weak …
Space-time continuous solutions to SPDE's driven by a homogeneous Wiener process
Z Brzeźniak, S Peszat - Studia Mathematica, 1999 - eudml.org
Abstract top Stochastic partial differential equations on ℝ d are considered. The noise is
supposed to be a spatially homogeneous Wiener process. Using the theory of stochastic …
supposed to be a spatially homogeneous Wiener process. Using the theory of stochastic …
Well-posedness of the multidimensional fractional stochastic Navier–Stokes equations on the torus and on bounded domains
L Debbi - Journal of Mathematical Fluid Mechanics, 2016 - Springer
In this work, we introduce and study the well-posedness of the multidimensional fractional
stochastic Navier–Stokes equations on bounded domains and on the torus (briefly dD …
stochastic Navier–Stokes equations on bounded domains and on the torus (briefly dD …