On stochastic modified 3D Navier-Stokes equations with anisotropic viscosity

DOI10.1016/j.jmaa.2017.12.053zbMath1402.35203arXiv1704.01440OpenAlexW2605719006MaRDI QIDQ1754628

Annie Millet, Hakima Bessaih

Publication date: 31 May 2018

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

Full work available at URL: https://arxiv.org/abs/1704.01440

zbMATH Keywords

large deviationsstochastic PDEsBrinkman-Forchheimer modelmodified Navier-Stokes equationshorizontal viscosity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Brownian motion (60J65) Flows in porous media; filtration; seepage (76S05) Navier-Stokes equations (35Q30) Large deviations (60F10) PDEs with randomness, stochastic partial differential equations (35R60) Weak solutions to PDEs (35D30)

Related Items (12)

Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity ⋮ Well-posedness and asymptotic behavior of stochastic convective Brinkman-Forchheimer equations perturbed by pure jump noise ⋮ Local and global strong solution to the stochastic 3-D incompressible anisotropic Navier-Stokes equations ⋮ Martingale Solutions of the Stochastic 2D Primitive Equations with Anisotropic Viscosity ⋮ Large deviations for the two-time-scale stochastic convective Brinkman-Forchheimer equations ⋮ Stochastic 3D Leray-\(\alpha\) model with fractional dissipation ⋮ Existence and uniqueness of solutions to backward 2D and 3D stochastic convective Brinkman-Forchheimer equations forced by Lévy noise ⋮ Existence and upper semicontinuity of random pullback attractors for 2D and 3D non-autonomous stochastic convective Brinkman-Forchheimer equations on whole space. ⋮ \(\mathbb{L}^p\)-solutions of deterministic and stochastic convective Brinkman-Forchheimer equations ⋮ NEWTON S METHOD FOR STOCHASTIC FUNCTIONAL EVOLUTION EQUATIONS IN HILBERT SPACES ⋮ Large deviation principle for stochastic convective Brinkman-Forchheimer equations perturbed by pure jump noise ⋮ Strong \(L^2\) convergence of time Euler schemes for stochastic 3D Brinkman-Forchheimer-Navier-Stokes equations

Cites Work

• Stochastic 3D tamed Navier-Stokes equations: existence, uniqueness and small time large deviation principles
• Stochastic tamed 3D Navier-Stokes equations: existence, uniqueness and ergodicity
• Large deviations for the two-dimensional Navier-Stokes equations with multiplicative noise
• Large deviations for infinite dimensional stochastic dynamical systems
• Large deviations for stochastic tamed 3D Navier-Stokes equations
• Large deviations for the Boussinesq equations under random influences
• Smooth attractors for the Brinkman-Forchheimer equations with fast growing nonlinearities
• Stochastic 2D hydrodynamical type systems: well posedness and large deviations
• Continuous data assimilation for the three-dimensional Brinkman–Forchheimer-extended Darcy model
• Large Deviations and the Zero Viscosity Limit for 2D Stochastic Navier–Stokes Equations with Free Boundary
• Existence and uniqueness of global solutions for the modified anisotropic 3D Navier−Stokes equations
• Fourier Analysis and Nonlinear Partial Differential Equations
• Finite Element Approximation of the Parabolic p-Laplacian
• Fluids with anisotropic viscosity
• Stochastic Equations in Infinite Dimensions
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