Some mathematical properties of the planetary geostrophic equations for large-scale ocean circulation

DOI10.1080/00036819808840682zbMath1027.86002OpenAlexW1990975897WikidataQ58283782 ScholiaQ58283782MaRDI QIDQ4487740

Roger M. Samelson, Shouhong Wang, Roger M. Temam

Publication date: 25 June 2000

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819808840682

zbMATH Keywords

boundary effects planetary geostrophic equations primitive equations Coriolis parameter fourth-order diffusion existence and properties of solutions gyre-scale mid-latitude ocean circulation

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (29)

Optimal distributed control of the three-dimensional planetary geostrophic equations ⋮ Large deviation principles for 3D stochastic primitive equations ⋮ 3D stochastic primitive equations of the large-scale ocean: Global well-posedness and attractors ⋮ Derivation of the planetary geostrophic equations ⋮ On the Charney conjecture of data assimilation employing temperature measurements alone: the paradigm of 3D planetary geostrophic model ⋮ Random attractors for the three dimensional stochastical planetary geostrophic equations of large-scale ocean circulation ⋮ Large and moderate deviations principles and central limit theorem for the stochastic 3D primitive equations with gradient-dependent noise ⋮ Approximation of stationary statistical properties of the three dimensional autonomous planetary geostrophic equations of large-scale ocean circulation ⋮ A positivity-preserving and convergent numerical scheme for the binary fluid-surfactant system ⋮ Regularity ``in large for the \(3D\) Salmon's planetary geostrophic model of ocean dynamics ⋮ Averaging of the planetary 3D geostrophic equations with oscillating external forces ⋮ Pullback attractors for a non-autonomous homogeneous two-phase flow model ⋮ Averaging of a multi-layer quasi-geostrophic equations with oscillating external forces ⋮ A non-autonomous two-phase flow model with oscillating external force and its global attractor ⋮ The existence of a pullback attractor for the three dimensional non-autonomous planetary geostrophic viscous equations of large-scale Ocean circulation ⋮ Pullback attractors for three dimensional non-autonomous planetary geostrophic viscous equations of large-scale ocean circulation ⋮ Boussinesq equations in three dimensional thin domains and the corresponding two dimensional limit ⋮ A fourth-order numerical method for the planetary geostrophic equations with inviscid geostrophic balance ⋮ Well-posedness for the three dimensional stochastic planetary geostrophic equations of large-scale ocean circulation ⋮ Non-autonomous planetary 3D geostrophic equations with oscillating external force and its global attractor ⋮ Existence of the universal attractor for the 3-D viscous primitive equations of large-scale moist atmosphere ⋮ Pullback attractors for closed cocycles ⋮ Long-time behavior of 3D stochastic planetary geostrophic viscous model ⋮ Pullback attractors for the multi-layer quasi-geostrophic equations of the Ocean ⋮ Random attractor for the three-dimensional planetary geostrophic equations of large-scale ocean circulation with small multiplicative noise ⋮ Attractors for the multilayer quasi-geostrophic equations of the ocean with delays ⋮ Global weak solution of planetary geostrophic equations with inviscid geostrophic balance ⋮ Thermohaline circulation and geostrophic planetary equation: physical, numerical and mathematical properties ⋮ Averaging of a 3D primitive equations with oscillating external forces

Cites Work

This page was built for publication: Some mathematical properties of the planetary geostrophic equations for large-scale ocean circulation