On strong solutions of the multi-layer quasi-geostrophic equations of the ocean

DOI10.1016/j.na.2007.03.046zbMath1157.35461OpenAlexW1976085087MaRDI QIDQ943772

Theodore Tachim-Medjo

Publication date: 10 September 2008

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.2007.03.046

zbMATH Keywords

attractorsHausdorff dimensionfractal dimensionmulti-layer quasi-geostrophic equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (11)

Existence and decay estimates of solution for a fourth order quasi-geostrophic equation ⋮ Second-order optimality conditions for optimal control of the primitive equations of the ocean with periodic inputs ⋮ Averaging of a multi-layer quasi-geostrophic equations with oscillating external forces ⋮ Maximum principle of optimal control of the primitive equations of the ocean with two point boundary state constraint ⋮ Optimal control of the primitive equations of the ocean with state constraints ⋮ Pullback attractors for the multi-layer quasi-geostrophic equations of the Ocean ⋮ 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 ⋮ Exponential stability of the multi-layer quasi-geostrophic ocean model with delays ⋮ Maximum Principle of Optimal Control of the Primitive Equations of the Ocean With State Constraint ⋮ Existence and decay of solutions to the two-dimensional fractional quasigeostrophic equation

Cites Work

• Regularity results for linear elliptic problems related to the primitive equations.
• Infinite-dimensional dynamical systems in mechanics and physics
• 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.
• Mathematical theory for the coupled atmosphere-ocean models (CAO III)
• Solvability of the altimeter data assimilation problem in the quasi-geostrophic multilayer model of ocean circulation
• On the equations of the large-scale ocean
• The Cauchy Problem and the Continuous Limit for the Multilayer Model in Geophysical Fluid Dynamics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On strong solutions of the multi-layer quasi-geostrophic equations of the ocean