RANDOM ATTRACTOR FOR THE 3D VISCOUS STOCHASTIC PRIMITIVE EQUATIONS WITH ADDITIVE NOISE

DOI10.1142/S0219493709002683zbMath1175.86005MaRDI QIDQ5320891

Chengfeng Sun, Hong-Jun Gao

Publication date: 22 July 2009

Published in: Stochastics and Dynamics (Search for Journal in Brave)

zbMATH Keywords

random attractoradditive noiseprimitive equation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Hydrology, hydrography, oceanography (86A05) Applications of stochastic analysis (to PDEs, etc.) (60H30) Meteorology and atmospheric physics (86A10) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (6)

Martingale Solutions of the Stochastic 2D Primitive Equations with Anisotropic Viscosity ⋮ Well-posedness for the stochastic 2D primitive equations with Lévy noise ⋮ Necessary and sufficient criteria for existence, regularity, and asymptotic stability of enhanced pullback attractors with applications to 3D primitive equations ⋮ Well-posedness of stochastic primitive equations with multiplicative noise in three dimensions ⋮ The strong solutions to the primitive equations coupled with multi-phase moisture atmosphere ⋮ Diffusion limit of 3D primitive equations of the large-scale ocean under fast oscillating random force

Cites Work

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• Existence of a solution `in the large' for the 3D large-scale ocean dynamics equations
• The global attractor for the solutions to the 3D viscous primitive equations
• STOCHASTIC SOLUTIONS OF THE TWO-DIMENSIONAL PRIMITIVE EQUATIONS OF THE OCEAN AND ATMOSPHERE WITH AN ADDITIVE NOISE
• New formulations of the primitive equations of atmosphere and applications
• On the equations of the large-scale ocean
• Global well‐posedness and finite‐dimensional global attractor for a 3‐D planetary geostrophic viscous model
• On the regularity of the primitive equations of the ocean

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