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New exact solutions of a stratified fluid model
Tang Xiaoyan * #,Lou Senyue
Department of Physics, Shanghai Jiao Tong University
*Correspondence author
#Submitted by
Subject:
Funding: National Natural Science Foundation of China （No.No. 10905038）, Specialized Research Fund for the Doctoral Program of Higher Education （No.No. 20070248120）
Opened online:14 February 2011
Accepted by: none
Citation: Tang Xiaoyan,Lou Senyue.New exact solutions of a stratified fluid model[OL]. [14 February 2011] http://en.paper.edu.cn/en_releasepaper/content/4408561
 
 
The stratified fluid model derived from the low-Froude-number theory of the rotating stratified turbulence can describe broad vortical flows ranging from large scale to the atmospheric mesoscale and the oceanic submesoscale. A general relation of the model with the famous Euler system is established. From the vortex and circumstance solution of the Euler equation, we construct a new exact explicit solution. In detail, we discuss that the solution with particular selections of the arbitrary functions captures the characteristics of the three dimensional spiral pattern for typhoon.
Keywords:Stratified fluid;Vortex;Typhoon
 
 
 

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