Dynamics of Rossby solitary waves with time-dependent mean flow via Euler eigenvalue model

doi:10.1007/s10483-022-2902-6

Abstract

Abstract: The investigation on the fluctuations of nonlinear Rossby waves is of great importance for the understanding of atmospheric or oceanic motions. The present paper mainly deals with the well-known atmospheric blocking phenomena through the nonlinear Rossby wave theories and the corresponding methods. Based on the equivalent barotropic potential vorticity model in the β-plane approximation underlying a weak time-dependent mean flow, the multiscale technique and perturbation approximated methods are adopted to derive a new forced Korteweg-de Vries model equation with varied coefficients (vfKdV) for the Rossby wave amplitude. For a further analytical treatment of the obtained model problem, a special kind of basic flow is adopted. The evolution processes of atmospheric blocking are well discussed according to the given parameters according to the dipole blocking theory. The effects of some physical factors, especially the mean flow, on the propagation of atmospheric blocking are analyzed.

Key words: time-dependent mean flow, Euler eigenvalue model, atmospheric blocking, solitary wave

2010 MSC Number:

35Qxx

Zhihui ZHANG, Liguo CHEN, Ruigang ZHANG, Liangui YANG, Quansheng LIU. Dynamics of Rossby solitary waves with time-dependent mean flow via Euler eigenvalue model. Applied Mathematics and Mechanics (English Edition), 2022, 43(10): 1615-1630.

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