Global existence of a solution to the ocean dynamics equations

Doklady Mathematics

Volumn 73, Issue 2, 2006, Pages 296-298

  Kobelkov, G M ^a,b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b INSTITUTE OF NUMERICAL MATHEMATICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF STATE OF LIQUIDS; ESTIMATION; MATHEMATICAL MODELS; PROBLEM SOLVING; THEOREM PROVING;

CARTESIAN COORDINATE SYSTEM; GLOBAL SOLUTIONS; OCEAN DYNAMICS; SALINITY EQUATIONS;

DIFFERENTIAL EQUATIONS;

EID: 33746933424     PISSN: 10645624     EISSN: None     Source Type: Journal    
DOI: 10.1134/S1064562406020372     Document Type: Article

References (9)

1. Mathematical Modeling of the Ocean Circulation, Ed. by G. I. Marchuk and A. S. Sarkisyan (Nauka, Novosibirsk, 1980; Springer-Verlag, New York, 1988).
2. J.-L. Lions, R. Temam, and S. Wang, Nonlinearity 5, 1007-1053 (1992).
3. J.-L. Lions, R. Temam, and S. Wang, Nonlinearity 5, 237-288 (1992).
4. R. Lewandowski, Analyse Mathématique et Océnographie (Masson, Paris, 1997).
5. Ch. Hu, R. Temam, and M. Ziane, Discrete Continuous Dyn. Syst. 9 (1) (2003).
6. O. A. Ladyzhenskaya, Mathematical Problems in the Dynamics of Viscous Incompressible Fluids (Nauka, Moscow, 1970) [in Russian].
7. F. Guillén-Gonzéez, N. Masmoudi, and M. A. Rodrigues-Bellido, Differ. Integral Equations 14 (1), 1381-1408 (2001).
8. R. Temam and M. Ziane, in Handbook of Mathematical Fluid Dynamics (Elsevier, Amsterdam, 2004), Vol. 3, pp. 535-658.
9. Ch. Cao and E. S. Titi, Global Well-Posedness of the Three-Dimensional Viscous Primitive Equations of Large Scale Ocean and Atmosphere Dynamics, arXiv:math.AP/050302v216Nov2005.