Dynamics of δ-Singular Vortexes on a Rotating Sphere and Stability of Paired Action Centers of the Atmosphere

摘要

Investigations of 5-singular vortexes on a rotating sphere are relatively rare (see [1,2] and references in [2]), although they are important for modeling action centers [3,4] and blockings [5-7] in the atmosphere on a global scale that form the climate. This is related to the problem of the analysis of dynamic systems with infinite dimensions. Such a problem appears as a result of the presentation [1, 2, 6, and others] of invariant physically important and observed absolute vorticity on a rotating sphere [8] as a formal superposition of 8-singular point vortexes (local vorticity) and background vorticity, which strongly interact between themselves (due to nonlinearity of hydrodynamic equations). This leads to structural noninvariance of localized vortexes and the necessity of introducing approximate considerations.