Advances in mathematics research, Vol.10 by Baswell A.R. (ed.)

By Baswell A.R. (ed.)

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Sci. 60 (2003), 229–246. [13] V. P. Shutyaev, Solvability of the data assimilation problem in the scale of Hilbert spaces for quasilinear singularly perturbed evolutionary problems. Russian J. Numer. Analysis & Math. Modelling 12 (1997), 53–66. [14] V. P. Shutyaev, Data mastery in a scale of Hilbert spaces for quasilinear evolution problems. Differential Equations 34 (1998), 382–388. [15] V. P. Shutyaev, Initial condition reconstruction problem for a viscous barotropic fluid dynamic equation on a sphere.

D. Thompson, A generalized class of exact time-dependent solutions of the vorticity equation for nondivergent barotropic flow. Mon. Wea. Rev. 110 (1982), 1321–1324. [11] A. J. Simmons, J. M. Wallace, G. W. Branstator, Barotropic wave propagation and instability, and atmospheric teleconnection patterns. J. Atmos. Sci. 40 (1983), 1363– 1392. [12] D. T. Crommelin, Regime transitions and heteroclinic connections in a barotropic atmosphere. J. Atmos. Sci. 60 (2003), 229–246. [13] V. P. Shutyaev, Solvability of the data assimilation problem in the scale of Hilbert spaces for quasilinear singularly perturbed evolutionary problems.

Analysis & Math. Modelling 6 (1991), 515–534. [23] Yu. N. Skiba, Rossby-Haurwitz Wave Stability. Izvestiya, Atmos. Ocean. Physics 28 (1992), 388–394. [24] Yu. N. Skiba, Nonlinear and linear instability of the Rossby-Haurwitz wave. Journal of Mathematical Sciences 149 (2008), 1708–1725. [25] Yu. N. Skiba, On the normal mode instability of harmonic waves on a sphere. Geophys. Astrophys. Fluid Dynamics 92 (2000), 115–127. [26] G. Wolansky, M. Ghil, Nonlinear stability for saddle solutions of ideal flows and symmetry breaking.

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