Convergence for a Splitting-Up Scheme for the 3D Stochastic Navier-Stokes-α Model

DOI10.1080/07362994.2013.862359zbMath1320.35255OpenAlexW2079359683MaRDI QIDQ5413861

Gabriel Deugoué, Mamadou Sango

Publication date: 2 May 2014

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2263/40380

zbMATH Keywords

compactnesstightnesssplitting-up scheme3D Navier-Stokes-\(\alpha\) model

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Navier-Stokes equations (35Q30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35)

Related Items

Existence of a solution to the stochastic nonlocal Cahn–Hilliard Navier–Stokes model via a splitting-up method, Weak and strong probabilistic solutions for a stochastic quasilinear parabolic equation with nonstandard growth, Approximation of a stochastic two-phase flow model by a splitting-up method, Splitting-up scheme for the stochastic Cahn–Hilliard Navier–Stokes model, Solution to a stochastic 3D nonlocal Cahn-Hilliard-Navier-Stokes model with shear dependent viscosity via a splitting-up method, Strong solutions for the stochastic 3D LANS-α model driven by non-Gaussian Lévy noise

Cites Work

• Unnamed Item
• Weak solutions to stochastic 3D Navier-Stokes-\(\alpha \) model of turbulence: \(\alpha \)-asymptotic behavior
• Existence results for a doubly degenerate quasilinear stochastic parabolic equation
• The Camassa-Holm equations and turbulence
• Direct numerical simulations of the Navier-Stokes alpha model
• Approximation of some stochastic differential equations by the splitting up method
• On the splitting-up method and stochastic partial differential equations
• Existence of strong solutions for Itô's stochastic equations via approximations
• The asymptotic behaviour of a stochastic 3D LANS-\(\alpha\) model
• Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. I
• Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
• Time-discretization of the zakai equation for diffusion processes observed in correlated noise
• On the existence and uniqueness of solutions to stochastic three-dimensional Lagrangian averaged Navier–Stokes equations
• A connection between the Camassa–Holm equations and turbulent flows in channels and pipes
• Numerical simulations of the Lagrangian averaged Navier–Stokes equations for homogeneous isotropic turbulence
• A splitting method for stochastic goursat problem
• Camassa-Holm Equations as a Closure Model for Turbulent Channel and Pipe Flow
• Global well–posedness for the Lagrangian averaged Navier–Stokes (LANS–α) equations on bounded domains
• Remarks on Nonlinear Stochastic Partial Differential Equations: An Application of the Splitting-Up Method
• ON THE STOCHASTIC 3D-LAGRANGIAN AVERAGED NAVIER–STOKES α-MODEL WITH FINITE DELAY
• Stochastic Navier-Stokes equations
• The Navier-Stokes-alpha model of fluid turbulence
• The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory