Geodesic
On prior estimates for ocean dynamics equations and substantiation of splitting schemes
Numerical methods and programming, Tome 10 (2009) no. 1, pp. 94-100

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New prior estimates for the solution to the system of equations of large-scale ocean are considered. These estimates supplement the results obtained by G.M. Kobelkov when proving the existence and uniqueness theorem and allow one to show the convergence of approximate solutions to the exact solution to the differential problem. Several new practical scheme are given. The results obtained in this paper supplement and develop the previous author's studies.
Keywords: nonlinear partial differential equations; ocean dynamics equations; primitive equations; Navier-Stokes equations; splitting methods; geophysical hydrodynamics. 
@article{VMP_2009_10_1_a10,
     author = {V. B. Sukhov},
     title = {On prior estimates for ocean dynamics equations and substantiation of splitting schemes},
     journal = {Numerical methods and programming},
     pages = {94--100},
     publisher = {mathdoc},
     volume = {10},
     number = {1},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2009_10_1_a10/}
}
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V. B. Sukhov. On prior estimates for ocean dynamics equations and substantiation of splitting schemes. Numerical methods and programming, Tome 10 (2009) no. 1, pp. 94-100. http://geodesic.mathdoc.fr/item/VMP_2009_10_1_a10/