A 2.5D MODEL FOR THE EQUATIONS OF THE OCEAN AND THE ATMOSPHERE

DOI10.1142/S021953050700095XzbMath1117.35319MaRDI QIDQ3595319

Qingshan Chen, Antoine Rousseau, Roger M. Temam, Jacques Laminie, Joseph J. Tribbia

Publication date: 10 August 2007

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

zbMATH Keywords

boundary conditionswell-posednesscompatibility conditionssemigroup theoryopen boundary conditionslimited domainsnonviscous primitive equations

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) One-parameter semigroups and linear evolution equations (47D06) Initial-boundary value problems for first-order hyperbolic systems (35L50) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (9)

Numerical simulations of the humid atmosphere above a mountain ⋮ Partial and spectral-viscosity models for geophysical flows ⋮ The barotropic mode for the primitive equations ⋮ A higher order finite volume resolution method for a system related to the inviscid primitive equations in a complex domain ⋮ Simulations of the 2.5D inviscid primitive equations in a limited domain ⋮ The 3D primitive equations in the absence of viscosity: boundary conditions and well-posedness in the linearized case ⋮ Goal-oriented a posteriori error estimation for finite volume methods ⋮ Global attractor of atmospheric equations ⋮ Invariant behavior of stochastic atmosphere-ocean model with degenerate noise

Cites Work

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• Boundary layers in an ocean related system
• A dynamical multi-level scheme for the Burgers equation: Wavelet and hierarchical finite element
• Existence of a solution `in the large' for the 3D large-scale ocean dynamics equations
• Boundary conditions for the 2D linearized PEs of the ocean in the absence of viscosity
• On the equations of the large-scale ocean
• Theoretical and Practical Aspects of Some Initial Boundary Value Problems in Fluid Dynamics

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