Инд. авторы:	Medvedev S.B.
Заглавие:	The slow manifold for the shallow water equations on the f plane
Библ. ссылка:	Medvedev S.B. The slow manifold for the shallow water equations on the f plane // Journal of the Atmospheric Sciences. - 1999. - Vol.56. - Iss. 8. - P.1050-1054. - ISSN 0022-4928. - EISSN 1520-0469.
Внешние системы:	DOI: 10.1175/1520-0469(1999)056<1050:TSMFTS>2.0.CO;2; РИНЦ: 13308932; WoS: 000079794200004;
Реферат:	eng: Functional equations defining the slow manifold are obtained for the shallow water equations on the f plane. These equations are solved using an expansion in powers of nonlinearity. Solutions of the shallow water equations corresponding to initial conditions on the slow manifold evolve on this manifold during a long time and are devoid of oscillations at the frequency of inertial-gravity waves. The evolution equation on the slow manifold is obtained.The knowledge of explicit differential equations for the slow manifold allows one to solve the problem of initialization in a new manner. For the dynamical initialization, the sought fields are obtained as power series of the slow mode amplitude with known coefficients. For the static initialization by geopotential, the velocity field is determined from a strongly nonlinear equation.
Издано:	1999
Физ. характеристика:	с.1050-1054