A relevant mathematical field is thus the extension of the derivation to the stochastic primitive equations for two-dimensional (Ewald et al.

Ziane, 2012: Global existence and regularity for the 3D stochastic primitive equations of the ocean and atmosphere with multiplicative white 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.

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.

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 [3].

Tani, Small-time existence of a strong solution of primitive equations for the ocean, Tokyo J.

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 [33] 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.

General circulation experiments with the primitive equations, I.

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.