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

doi:10.1007/s10483-022-2902-6

Applied Mathematics and Mechanics (English Edition) ›› 2022, Vol. 43 ›› Issue (10): 1615-1630.doi: https://doi.org/10.1007/s10483-022-2902-6

• 论文 • 上一篇

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

Zhihui ZHANG¹, Liguo CHEN², Ruigang ZHANG¹, Liangui YANG¹, Quansheng LIU¹

1. School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China;
2. School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Hohhot 010070, China

收稿日期:2022-04-15 修回日期:2022-06-28 发布日期:2022-10-25
通讯作者: Ruigang ZHANG, E-mail: rgzhang@imu.edu.cn
基金资助:
the National Natural Science Foundation of China (Nos. 12102205 and 11762011), the Natural Science Foundation of Inner Mongolia Autonomous Region of China (No. 2020BS01002), the Research Program of Science at Universities of Inner Mongolia Autonomous Region of China (No. NJZY20003), the Scientific Starting Foundation of Inner Mongolia University of China (No. 21100-5185105), and the Innovative Research Team in Universities of Inner Mongolia Autonomous Region of China (No. NMGIRT2008)

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

Zhihui ZHANG¹, Liguo CHEN², Ruigang ZHANG¹, Liangui YANG¹, Quansheng LIU¹

1. School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China;
2. School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Hohhot 010070, China

Received:2022-04-15 Revised:2022-06-28 Published:2022-10-25
Contact: Ruigang ZHANG, E-mail: rgzhang@imu.edu.cn
Supported by:
the National Natural Science Foundation of China (Nos. 12102205 and 11762011), the Natural Science Foundation of Inner Mongolia Autonomous Region of China (No. 2020BS01002), the Research Program of Science at Universities of Inner Mongolia Autonomous Region of China (No. NJZY20003), the Scientific Starting Foundation of Inner Mongolia University of China (No. 21100-5185105), and the Innovative Research Team in Universities of Inner Mongolia Autonomous Region of China (No. NMGIRT2008)

摘要/Abstract

摘要： 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.

关键词: time-dependent mean flow, Euler eigenvalue model, atmospheric blocking, solitary wave

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

中图分类号:

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[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(10): 1615-1630.

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

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

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