The primitive equations of the ocean with delays

DOI10.1016/j.nonrwa.2007.11.003zbMath1167.86302OpenAlexW2028279483MaRDI QIDQ837668

Theodore Tachim-Medjo

Publication date: 20 August 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.11.003

zbMATH Keywords

stabilitystrong solutionsdelaysprimitive equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Stability in context of PDEs (35B35) General theory of rotating fluids (76U05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (8)

The exponential behavior and stability of the stochastic three-dimensional primitive equations driven by Lévy noise ⋮ Existence and decay of solutions in full space to Navier-Stokes equations with delays ⋮ The exponential behavior of the stochastic three-dimensional primitive equations with multiplicative noise ⋮ Existence and decay of solutions to the dissipative quasi-geostrophic equation with delays ⋮ Global well‐posedness of the 3D primitive equations with only horizontal eddy diffusivity and delays in both convective and heat source terms ⋮ The exponential behavior and stabilizability of the stochastic 3D Navier–Stokes equations with damping ⋮ Existence of solutions for a class of Navier–Stokes equations with infinite delay ⋮ Global well-posedness of the three-dimensional viscous primitive equations with bounded delays

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The exponential behavior of Navier-Stokes equations with time delay external force
• Regularity results for linear elliptic problems related to the primitive equations.
• Attractors for 2D-Navier-Stokes models with delays
• Pullback and forward attractors for a 3D LANS-\(\alpha\) model with delay
• Multi-layer quasi-geostrophic equations of the ocean with delays
• Random attractors
• Nonautonomous systems, cocycle attractors and variable time-step discretization
• On the uniqueness of weak solutions of the two-dimensional primitive equations.
• On mathematical problems for the primitive equations of the ocean: The mesoscale midlatitude case
• Asymptotic analysis of the primitive equations under the small depth assumption
• 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
• Existence of a solution `in the large' for the 3D large-scale ocean dynamics equations
• On the order of magnitude of the baroclinic flow in the primitive equations of the ocean
• The global attractor for the solutions to the 3D viscous primitive equations
• Asymptotic behaviour of two–dimensional Navier–Stokes equations with delays
• New formulations of the primitive equations of atmosphere and applications
• On the equations of the large-scale ocean
• Ekman boundary layers in rotating fluids
• Barotropic-Baroclinic Formulation of the Primitive Equations of the Ocean
• Navier-Stokes equations with delays
• On the Two-Dimensional Hydrostatic Navier--Stokes Equations
• Anisotropie et dispersion dans les fluides tournants
• Barotropic-Baroclinic Time Splitting for the Primitive Equations of the Ocean

This page was built for publication: The primitive equations of the ocean with delays