Math. Model. Nat. Phenom.
Volume 9, Number 5, 2014Spectral problems
|Page(s)||111 - 118|
|Published online||17 July 2014|
Symmetries and Conservation Laws of a Spectral Nonlinear Model for Atmospheric Baroclinic Jets
1 Laboratory “Group Analysis of
Mathematical Models in Natural and Engineering Sciences”, Ufa State Aviation Technical
2 Center for Mathematical Modeling with Lie Group Analysis (CeMMLiGA) Blekinge Institute of Technology, SE-371 79 Karlskrona, Sweden
3 Department of Mathematics, University of Texas at Brownsville Brownsville, TX 78520, USA
4 Pacific Northwest National Laboratory, Richland, WA 99352, USA
Corresponding author. E-mail: email@example.com
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.
Mathematics Subject Classification: atmospheric jets / effects of rotation / conservation laws
Key words: 76U05 / 35Q30 / 35Q35 / 35Q86
© EDP Sciences, 2014
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