A Small Eddy Correction Algorithm for the Primitive Equations of the Ocean

Pontryagin’s maximum principle for optimal control of the stationary primitive equations of the ocean

“…For the doublegyres simulations, Q 1 is sometimes taken as Q 1 = c(0, − cos(π y)), where c > 0 is a constant. See for instance [26,31]. The other control Q 2 stands for the heat source in the ocean.…”

“…We recall from [17] some existence and uniqueness results for the model. For other ocean models, the reader is referred to [18][19][20][21][22][23][24][25][26][27][28][29] for the mathematical/numerical study and to [30][31][32][33] for the physical point of view. The third section presents the control framework and the main results appear in the fourth section.…”

Optimal control of the primitive equations of the ocean with state constraints

“…We recall from [12,13] some existence and uniqueness results for the model. For other ocean models, the reader is referred to [1,[20][21][22][23][24][25][26][27][28][29][30] for the mathematical/numerical study and to [31,2,3,32] for the physical point of view. Section 3 presents the control framework and the main result is given in Section 4.…”