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

作　　者：Zhihui ZHANG Liguo CHEN Ruigang ZHANG Liangui YANG Quansheng LIU 

机构地区：[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

出　　处：《Applied Mathematics and Mechanics(English Edition)》2022年第10期1615-1630,共16页应用数学和力学（英文版）

基　　金：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);the Innovative Research Team in Universities of Inner Mongolia Autonomous Region of China(No.NMGIRT2008)。

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 theβ-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：THEORY methods flow 

分 类 号：P731.2[天文地球—海洋科学]