Finite Dimensional Behaviors of the Primitive Equations Under Small Depth Assumption

DOI10.1080/01630560701493248zbMath1142.35071OpenAlexW1991988475MaRDI QIDQ5308786

Changbing Hu

Publication date: 8 October 2007

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560701493248

zbMATH Keywords

thin domainprimitive equationsdetermining modesdetermining lines

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (7)

First-Order Decoupled Finite Element Method of the three-Dimensional Primitive Equations of the Ocean ⋮ Uniform stability and convergence of the iterative solutions of the 3D steady viscous primitive equations of the ocean under the small depth assumption ⋮ Unnamed Item ⋮ On the solutions of the 3D steady and unsteady primitive equations of the ocean ⋮ First order decoupled method of the primitive equations of the ocean: I: Time discretization ⋮ Asymptotic analysis of the primitive equations under the small depth assumption ⋮ Local existence of solutions to the free boundary value problem for the primitive equations of the ocean

Cites Work

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• Determining finite volume elements for the 2D Navier-Stokes equations
• Regularity results for linear elliptic problems related to the primitive equations.
• Asymptotic analysis of the Navier-Stokes equations
• On the number of determining nodes for the 2D Navier-Stokes equations
• Infinite-dimensional dynamical systems in mechanics and physics.
• Asymptotic analysis of the primitive equations under the small depth assumption
• The global attractor for the solutions to the 3D viscous primitive equations
• New formulations of the primitive equations of atmosphere and applications
• On the equations of the large-scale ocean
• Estimates of asymptotic degrees of freedom for solutions to the Navier-Stokes equations

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