Asymptotic analysis of the primitive equations under the small depth assumption

DOI10.1016/j.na.2004.12.005zbMath1081.35080OpenAlexW2084329574MaRDI QIDQ1776946

Changbing Hu

Publication date: 12 May 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.12.005

zbMATH Keywords

Coriolis forceNavier-Stokes equationsthin domainsprimitive equations of the oceanbaroclinic flow

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Navier-Stokes equations (35Q30) Meteorology and atmospheric physics (86A10)

Related Items (29)

The primitive equations of the ocean with delays ⋮ Continuous data assimilation for the 3D primitive equations of the ocean ⋮ First-Order Decoupled Finite Element Method of the three-Dimensional Primitive Equations of the Ocean ⋮ Finite Dimensional Behaviors of the Primitive Equations Under Small Depth Assumption ⋮ Uniform stability and convergence of the iterative solutions of the 3D steady viscous primitive equations of the ocean under the small depth assumption ⋮ Global attractors for the three-dimensional viscous primitive equations of large-scale atmosphere in log-pressure coordinate ⋮ Unnamed Item ⋮ On the solutions of the 3D steady and unsteady primitive equations of the ocean ⋮ Second-order optimality conditions for optimal control of the primitive equations of the ocean with periodic inputs ⋮ A new thin layer model for viscous flow between two nearby non‐static surfaces ⋮ Averaging of the planetary 3D geostrophic equations with oscillating external forces ⋮ Small-time existence of a strong solution of primitive equations for the ocean ⋮ On strong solutions of the multi-layer quasi-geostrophic equations of the ocean ⋮ Global attractor of the three-dimensional primitive equations of large-scale Ocean and atmosphere dynamics ⋮ Asymptotic analysis of a thin fluid layer flow between two moving surfaces ⋮ Non-autonomous planetary 3D geostrophic equations with oscillating external force and its global attractor ⋮ On the uniqueness of \(z\)-weak solutions of the three-dimensional primitive equations of the ocean ⋮ Maximum principle of optimal control of the primitive equations of the ocean with two point boundary state constraint ⋮ First order decoupled method of the primitive equations of the ocean: I: Time discretization ⋮ Optimal control of the primitive equations of the ocean with state constraints ⋮ Pullback attractors for closed cocycles ⋮ Attractors for the multilayer quasi-geostrophic equations of the ocean with delays ⋮ Approximation of the long-term dynamics of the dynamical system generated by the multilayer quasigeostrophic equations of the ocean ⋮ Pontryagin's maximum principle for optimal control of the stationary primitive equations of the ocean ⋮ Pullback attractor for nonautonomous primitive equations of large-scale ocean and atmosphere dynamics ⋮ Averaging of a 3D primitive equations with oscillating external forces ⋮ Approximation of stationary statistical properties of the three-dimensional primitive equations of large-scale ocean and atmosphere dynamics ⋮ Maximum Principle of Optimal Control of the Primitive Equations of the Ocean With State Constraint ⋮ Small-time solvability of primitive equations for the ocean with spatially-varying vertical mixing

Cites Work

• Unnamed Item
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• Unnamed Item
• Regularity results for linear elliptic problems related to the primitive equations.
• Asymptotic analysis of the Navier-Stokes equations in thin domains
• Infinite-dimensional dynamical systems in mechanics and physics.
• The primitive equations on the large scale ocean under the small depth hypothesis.
• Reaction-diffusion equation on thin domains
• Navier-Stokes equations in three-dimensional thin domains with various boundary conditions
• Large-eigenvalue global existence and regularity results for the Navier-Stokes equation
• On the order of magnitude of the baroclinic flow in the primitive equations of the ocean
• Modelling of the interaction of small and large eddies in two dimensional turbulent flows
• New formulations of the primitive equations of atmosphere and applications
• A Damped Hyperbolic Equation on Thin Domains
• On the equations of the large-scale ocean
• Barotropic-Baroclinic Formulation of the Primitive Equations of the Ocean
• Regularity results for stokes type systems
• Navier-Stokes Equations on Thin 3D Domains. I: Global Attractors and Global Regularity of Solutions
• Finite Dimensional Behaviors of the Primitive Equations Under Small Depth Assumption
• Some results on the Navier-Stokes equations in thin 3D domains

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