Markov selection and \(W\)-strong Feller for 3D stochastic primitive equations

DOI10.1007/s11425-016-0336-yzbMath1387.60098arXiv1605.05793OpenAlexW2407355663MaRDI QIDQ1703885

Zhao Dong, Rangrang Zhang

Publication date: 7 March 2018

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.05793

zbMATH Keywords

primitive equationsMarkov selection\(W\)-strong Feller

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (4)

Stochastic primitive equations with horizontal viscosity and diffusivity ⋮ The primitive equations with stochastic wind driven boundary conditions ⋮ Well-posedness of the 3D stochastic primitive equations with multiplicative and transport noise ⋮ Global well-posedness of stochastic 2D primitive equations with random initial conditions

Cites Work

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• Well-posedness and large deviations for the stochastic primitive equations in two space dimensions
• Hausdorff dimension of random attractor for stochastic Navier-Stokes-Voight equations and primitive equations
• Local and global well-posedness of strong solutions to the 3D primitive equations with vertical Eddy diffusivity
• 3D stochastic primitive equations of the large-scale ocean: Global well-posedness and attractors
• Existence and uniqueness of the solution to the dissipative 2D quasi-geostrophic equations in the Sobolev space
• Analysis of equilibrium states of Markov solutions to the 3D Navier-Stokes equations driven by additive noise
• Martingale solutions and Markov selections for stochastic partial differential equations
• Anisotropic estimates and strong solutions of the primitive equations.
• The primitive equations on the large scale ocean under the small depth hypothesis.
• Mathematical theory for the coupled atmosphere-ocean models (CAO III)
• Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics
• Markov selections for the 3D stochastic Navier-Stokes equations
• Global existence and regularity for the 3D stochastic primitive equations of the ocean and atmosphere with multiplicative white noise
• Existence and Uniqueness of Weak Solutions to Viscous Primitive Equations for a Certain Class of Discontinuous Initial Data
• 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

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