Stochastic 3D Navier–Stokes equations in a thin domain and its α -approximation

Igor Čhuešhov, Sergei Kuksin

Type: Article

Publication Date: 2008-03-25

Citations: 31

DOI: https://doi.org/10.1016/j.physd.2008.03.012

View Publication

Locations

Physica D Nonlinear Phenomena - View
HAL (Le Centre pour la Communication Scientifique Directe) - View

Similar Works

Action	Title	Year	Authors
+	Stochastic Navier-Stokes equations	1991	Marek Capiński Nigel J. Cutland
+	Random dynamics of the 3D stochastic Navier–Stokes–Voight equations	2011	Hui Gao Chengfeng Sun
+	Solution to a stochastic 3D nonlocal Cahn–Hilliard–Navier–Stokes model with shear dependent viscosity via a splitting-up method	2022	Gabriel Deugoué B. Jidjou Moghomye T. Tachim Medjo
+	Finite-dimensional approximation of stochastic NAVIER-STOKES-equation	2006	Bjoern Schmalfuss
+	Approximations of stochastic Navier–Stokes equations	2019	Shijie Shang Tusheng Zhang
+	Random Kick-Forced 3D Navier–Stokes Equations in a Thin Domain	2008	Igor Čhuešhov Sergei Kuksin
+ PDF Chat	Stochastic 2-D Navier--Stokes Equation	2002	José‐Luis Menaldi S. S. Sritharan
+	Approximations of the stochastic 3D Navier–Stokes equations with damping	2021	Hui Liu Chengfeng Sun Jie Xin
+	Well-posedness and Large Deviations for stochastic Brinkman-Forchheimer anisotropic 3D Navier-Stokes equations	2017	Annie Millet Hakima Bessaih
+	Stochastic Navier--Stokes equations on a 3D thin domain	2020	Zdzisław Brzeźniak Gaurav Dhariwal Quôc Thông Lê Gia
+ PDF Chat	Splitting up method for the 2D stochastic Navier–Stokes equations	2014	Hakima Bessaih Zdzisław Brzeźniak Annie Millet
+	Large Deviations for Stochastic Tamed 3D Navier-Stokes Equations	2009	Michael Röckner Tusheng Zhang Xicheng Zhang
+	Stochastic Two-Dimensional Navier–Stokes Equations on Time-Dependent Domains	2022	Wei Wang Jianliang Zhai Tusheng Zhang
+	Navier–Stokes equations in 3D thin domains with Navier friction boundary condition	2007	Changbing Hu
+	Stochastic 3D tamed Navier–Stokes equations: Existence, uniqueness and small time large deviation principles	2011	Michael Röckner Tusheng Zhang
+	Asymptotic behavior for 3D stochastic Navier-Stokes equations with memory in unbounded domains	2019	Yadong Liu Wenjun Liu Xin‐Guang Yang
+	On the stochastic 2D / anisotropic 3D Navier-Stokes equations	2017	Annie Millet Hakima Bessaih
+	Stochastic nonhomogeneous incompressible Navier–Stokes equations	2006	Nigel J. Cutland Brendan Enright
+	A Navier–Stokes Approximation of the 3D Euler Equation with the Zero Flux on the Boundary	2007	Hamid Bellout Jiřı́ Neustupa
+	Well-posedness and regularity properties of 2d $$\beta $$-plane stochastic Navier–Stokes equations in a periodic channel	2024	Yuri Cacchió Amirali Hannani Gigliola Staffilani

Works That Cite This (20)

Action	Title	Year	Authors
+ PDF Chat	Ergodicity of 3D Leray-α model with fractional dissipation and degenerate stochastic forcing	2019	Shihu Li Wei Liu Yingchao Xie
+	On the martingale probem associated to the 2D and 3D Stochastic Navier-Stokes equations	2008	Giuseppe Da Prato Arnaud Debussche
+	Stochastic 3D Leray-$\alpha$ Model with Fractional Dissipation.	2018	Shihu Li Wei Liu Yingchao Xie
+	Regular random attractors for non-autonomous stochastic evolution equations with time-varying delays on thin domains	2020	Dingshi Li Lin Shi Junyilang Zhao
+ PDF Chat	Limiting behavior of unstable manifolds for spdes in varying phase spaces	2021	Lin Shi Dingshi Li Kening Lu
+	Global unique solvability of 3D MHD equations in a thin periodic domain	2008	Igor Čhuešhov
+	Smooth convergence of random center manifolds for SPDEs in varying phase spaces	2020	Lin Shi
+ PDF Chat	On the Rate of Convergence of the 2-D Stochastic Leray- $$\alpha $$ α Model to the 2-D Stochastic Navier–Stokes Equations with Multiplicative Noise	2015	Hakima Bessaih Paul André Razafimandimby
+	Limiting dynamics for stochastic reaction–diffusion equations on the Sobolev space with thin domains	2019	Fuzhi Li Yangrong Li Renhai Wang
+	Diffusion limit of 3D primitive equations of the large-scale ocean under fast oscillating random force	2015	Boling Guo Daiwen Huang Wei Wang

Works Cited by This (22)

Action	Title	Year	Authors
+ PDF Chat	Asymptotic analysis of the Navier-Stokes equations in the domains	1997	I. Moise Roger Témam Mohammed Ziane
+	Stochastic Equations in Infinite Dimensions	2014	Giuseppe Da Prato Jerzy Zabczyk
+ PDF Chat	Mathematical problems of statistical hydromechanics	1988	M. I. Vishik A.V. Fursikov
+ PDF Chat	Navier-Stokes equations in three-dimensional thin domains with various boundary conditions	1996	Roger Témam Mohammed Ziane
+	Randomly forced nonlinear PDEs and statistical hydrodynamics in 2 space dimensions	2006	Sergei Kuksin
+	Large-Eigenvalue Global Existence and Regularity Results for the Navier–Stokes Equation	1996	Joel D. Avrin
+	Coupling approach to white-forced nonlinear PDEs	2002	Sergei Kuksin Armen Shirikyan
+	Stochastic Dissipative PDE's and Gibbs Measures	2000	Sergei Kuksin Armen Shirikyan
+	Ergodicity of the 2D Navier--Stokes Equations¶with Random Forcing	2001	Jean Bricmont A. Kupiainen R. Lefevere
+	SOME MATHEMATICAL PROBLEMS OF STATISTICAL HYROMECHANICS	1979	M. I. Vishik A. I. Komech A. V. Fursikov