Solvability of models of the atmosphere and ocean and data assimilation problems, uniform attractors of non-autonomous equations and their approximations

1. V. M. Ipatova, “The problem of initialization for the atmospheric general circulation model”, Proceedings of MIPT, 4:2 (2012), 121–130    
2. V. M. Ipatova, “Convergence of numerical solutions of the data assimilation problem for the atmospheric general circulation model”, Research Journal of Recent Sciences, 1:6 (2012), 16–21 http://www.isca.in/rjrs/archive/v1i6/3.ISCA-RJRS-2012-134
3. V. M. Ipatova, “On the uniform attractor of a semiexplicit finite-difference scheme for the non-autonomous Lorenz system”, Nonlinear world, 10:4 (2012), 201–206  
4. V. M. Ipatova, “On the attractor of an implicit projection-difference scheme for the two-layer atmospheric general circulation model with time-dependent right-hand side”, Nonlinear world, 10:8 (2012), 515–527 http://www.radiotec.ru/catalog.php?cat=jr11&art=11465  
5. V. M. Ipatova, “On uniform attractors of explicit approximations”, Differential Equations, 47:4 (2011), 571–580 http://link.springer.com/article/10.1134            
6. G. I. Marchuk, V. I. Agoshkov, V. M. Ipatova, “Theory of solvability of initial-boundary value problems and data assimilation problems for the primitive equations of the ocean”, Proceedings of MIPT, 3:1 (2011), 93–101    
7. V. M. Ipatova, “Uniform attractors of finite-difference schemes for the multilayer quasigeostrophic model of ocean dynamics”, Russian Journal of Numerical Analysis and Mathematical Modelling, 26:2 (2011), 143–159        
8. V. M. Ipatova, “Attractors of finite difference schemes for the Lorenz system with time-dependent coefficients”, Proceedings of MIPT, 3:1 (2011), 74–80    
9. V. I. Agoshkov, V. M. Ipatova, “Convergence of solutions to the problem of data assimilation for a multilayer quasigeostrophic model of ocean dynamics”, Russian Journal of Numerical Analysis and Mathematical Modelling, 25:2 (2010), 105–115        
10. V. I. Agoshkov, V. M. Ipatova, E. I. Parmuzin, V. P. Shutyaev, V. B. Zalesnyi, “PROBLEMS OF VARIATIONAL ASSIMILATION OF OBSERVATIONAL DATA FOR OCEAN GENERAL CIRCULATION MODELS AND METHODS FOR THEIR SOLUTION”, Izvestiya. Atmospheric and Oceanic Physics, 46:6 (2010), 677–712      
11. V. M. Ipatova, V. I. Agoshkov, G. M. Kobelkov, V. B. Zalesny, “Theory of solvability of boundary value problems and data assimilation problems for ocean dynamics equations”, Russian Journal of Numerical Analysis and Mathematical Modelling, 25:6 (2010), 511–534        
12. V. M. Ipatova, “The problem of a prescribed minimum point”, Proceedings of MIPT, 2:2 (2010), 70–76  
13. V. M. Ipatova, “Convergence of numerical solutions to the initialization problem for the vortex equation on a rotating sphere”, Russian Journal of Numerical Analysis and Mathematical Modelling, 24:2 (2009), 115–122        
14. V. M. Ipatova, “Solvability of the ocean hydrothermodynamics problem under a nonlinear state equation”, Russian Journal of Numerical Analysis and Mathematical Modelling, 23:2 (2008), 185–196 http://www.adeq.inm.ras.ru/DB/rjnamm.2008.Ipatova.pdf      
15. V. M. Ipatova, “Zadachi assimilyatsii dannykh dlya osnovnykh uravnenii termodinamiki okeana s nepreryvnoi po Lipshitsu plotnostyu”, Sovremennye problemy fundamentalnoi i prikladnoi matematiki, MFTI, Moskva, 2008, 56–79 http://ipatova.ucoz.ru/load
16. V. I. Agoshkov, V. M. Ipatova, “EXISTENCE THEOREMS FOR A THREE-DIMENSIONAL OCEAN DYNAMICS MODEL AND A DATA ASSIMILATION PROBLEM”, Doklady Mathematics, 75:1 (2007), 28–30 http://www.adeq.inm.ras.ru/DB/deq1088.pdf              
17. V. I. Agoshkov, V. M. Ipatova, “SOLVABILITY OF THE OBSERVATION DATA ASSIMILATION PROBLEM IN THE THREE-DIMENSIONAL MODEL OF OCEAN DYNAMICS”, Differential Equations, 43:8 (2007), 1088–1100            
18. V. I. Agoshkov, V. M. Ipatova, “Study of variational data assimilation problem for a model of tide dynamic in adjacent seas”, Russian Journal of Numerical Analysis and Mathematical Modelling, 21:2 (2006), 111- 138        
19. V. M. Ipatova, “Solvability of a tide dynamics model in adjacent seas”, Russian Journal of Numerical Analysis and Mathematical Modelling, 20:1 (2005), 67–81    
20. V. I. Agoshkov, V. M. Ipatova, “SOLVABILITY OF A CERTAIN VARIATIONAL DATA ASSIMILATION PROBLEM”, Doklady Mathematics, 57:3 (1998), 404–406        
21. V. M. Ipatova, “Convergence of the Numerical Solution of the Variational Data Mastery Problem for Altimetry Data in the Quasigeostrophic Model of Ocean Circulation”, Differential Equations, 34:3 (1998), 410–418        
22. V. M. Ipatova, “Attractors of approximations to non-autonomous evolution equations”, Sb. Math., 188:6 (1997), 843–852              
23. V. I. Agoshkov, V. M. Ipatova, “Solvability of the altimeter data assimilation problem in the quasi-geostrophic multilayer model of ocean circulation”, Comput. Math. Math. Phys., 37:3 (1997), 348–358      
24. V. M. Ipatova, A. N. Filatov, “Lagrangian and Eulerian Chaos in Atmospheric Models”, Izvestiya, Atmospheric and Oceanic Physics, 33:4 (1997), 407–414    
25. A. N. Filatov, V. M. Ipatova, “Globally stable difference schemes for the barotropic vorticity equation with the almost-periodic right-hand side”, Russian Journal of Numerical Analysis and Mathematical Modelling, 11:4 (1996), 287–302        
26. A. N. Filatov, V. M. Ipatova, “ON GLOBALLY STABLE DIFFERENCE SCHEMES FOR THE BAROTROPIC VORTICITY EQUATION ON A SPHERE”, Russian Journal of Numerical Analysis and Mathematical Modelling, 11:1 (1996), 1–26        
27. V. M. Ipatova, O. A. Pyrkova, V. N. Sedov, Differentsialnye uravneniya. Metody reshenii, 2-e izd., MFTI, Moskva, 2012 , 140 pp., (1-e izd. 2007) http://math.mipt.ru/study/uchebniki/diffur-arphdejbaa6.pdf

• Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region