Approximation of the long-term dynamics of the dynamical system generated by the multilayer quasigeostrophic equations of the ocean

DOI10.1002/num.22041zbMath1381.37103OpenAlexW2185075829MaRDI QIDQ2808875

Cristina Tone, Florentina Tone, Theodore Tachim-Medjo

Publication date: 25 May 2016

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22041

zbMATH Keywords

attractorimplicit Euler schememultilayer

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Cites Work

• On strong solutions of the multi-layer quasi-geostrophic equations of the ocean
• Application of a fractional-step method to incompressible Navier-Stokes equations
• High-order splitting methods for the incompressible Navier-Stokes equations
• On mathematical problems for the primitive equations of the ocean: The mesoscale midlatitude case
• The finiteness of determining degrees of freedom for the quasi-geostrophic multi-layer ocean model
• Asymptotic analysis of the primitive equations under the small depth assumption
• The primitive equations on the large scale ocean under the small depth hypothesis.
• Multivalued attractors and their approximation: applications to the Navier-Stokes equations
• Solvability of the altimeter data assimilation problem in the quasi-geostrophic multilayer model of ocean circulation
• APPROXIMATION OF THE STATIONARY STATISTICAL PROPERTIES OF THE DYNAMICAL SYSTEM GENERATED BY THE TWO-DIMENSIONAL RAYLEIGH–BÉNARD CONVECTION PROBLEM
• Approximation of stationary statistical properties of dissipative dynamical systems: Time discretization
• On the equations of the large-scale ocean
• The Cauchy Problem and the Continuous Limit for the Multilayer Model in Geophysical Fluid Dynamics
• Long time stability and convergence for fully discrete nonlinear galerkin methods
• Numerical Solution of the Navier-Stokes Equations
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