# primitive equations

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## primitive equations

[′prim·əd·iv i′kwā·zhənz]
(fluid mechanics)
The Eulerian equations of motion of a fluid in which the primary dependent variables are the fluid's velocity components; these equations govern a wide variety of fluid motions and form the basis of most hydrodynamical analysis; in meteorology, these equations are frequently specialized to apply directly to the cyclonic-scale motions by the introduction of filtering approximations.
References in periodicals archive ?
Ziane, 2012: Global existence and regularity for the 3D stochastic primitive equations of the ocean and atmosphere with multiplicative white noise.
Temam, 2007: Stochastic solutions of the two-dimensional primitive equations of the ocean and atmosphere with an additive noise.
Guo, Gao, and Pu present some fundamentals of stochastic partialdifferential equations and introduce recent results concerning severalimportant examples, such as the Ginzburg-Landau equation, Ostrovskyequation, geostrophic equations, and primitive equations inclimate.
The Primitive Equations. FVCOM is an unstructuredgrid, finite-volume, free-surface, and three-dimensional primitive equations ocean model developed originally by Chen et al.
Beardsley, "An unstructured grid, finite-volume, three-dimensional, primitive equations ocean model: application to coastal ocean and estuaries," Journal of Atmospheric and Oceanic Technology, vol.
Relative algebraic correspondences Masaki HANAMURA and mixed motivic sheaves Remark on energy density of Brody Masaki TSUKAMOTO curves Solvability of primitive equations Hirotada HONDA for the ocean with vertical mixing Above three, communicated by Masaki KASHIWARA, M.J.A.
In the present paper, we investigate a free surface problem of primitive equations taking the vertical mixing into account, and show the unique existence of a strong local-in-time solution, which is a new result developed from our earlier result .
Among the topics are the primitive equations, the shallow-water model, balanced flow, vertical discretization, time integration, the code structure of PEAK, and barotropic PEAK configurations.
The model follows the logic of the Princeton Ocean Model  and is based on the system of primitive equations of horizontal momentum balance, continuity equation, equation of state, hydrostatic equation, and equations for transport of heat and salt.
LEVIN, A three-dimensional spectral element model for the solution of the hydrostatic primitive equations, Journal of Computational Physics, (2001).
Intended for atmospheric and oceanic systems researchers, the book examines nonlinear equations of atmospheric and oceanic movements, quasi-geostrophic models, global attractors of primitive equations, dynamical systems of the atmosphere and ocean, and stability and instability theory in relation to these complex systems.
Relative algebraic correspondences and mixed motivic sheaves Masaki HANAMURA Remark on energy density of Brody curves Masaki TSUKAMOTO Solvability of primitive equations for the ocean with vertical mixing Hirotada HONDA Above three, communicated by Masaki KASHIWARA, M.J.A.
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