Symmetries and Conservation Laws of a Spectral Nonlinear Model for Atmospheric Baroclinic Jets

In this paper, we shall obtain the symmetries of the mathematical model describing spontaneous relaxation of eastward jets into a meandering state and use these symmetries for constructing the conservation laws. The basic eastward jet is a spectral parameter of the model, which is in geostrophic equ...

Full description

Saved in:
Bibliographic Details
Published in:Mathematical modelling of natural phenomena 2014-01, Vol.9 (5), p.111-118
Main Authors: Ibragimov, N.H., Ibragimov, R.N., Galiakberova, L.R.
Format: Article
Language:English
Subjects:
35Q30
35Q35
35Q86
76U05
Aerodynamics
atmospheric jets
conservation laws
effects of rotation
EQUATIONS
FLOWS
Mathematical models
SPHERICAL-SHELL
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we shall obtain the symmetries of the mathematical model describing spontaneous relaxation of eastward jets into a meandering state and use these symmetries for constructing the conservation laws. The basic eastward jet is a spectral parameter of the model, which is in geostrophic equilibrium with the basic density structure and which guarantees the existence of nontrivial conservation laws.
ISSN:0973-5348
1760-6101
1760-6101
DOI:10.1051/mmnp/20149507