| Issue |
Math. Model. Nat. Phenom.
Volume 9, Number 5, 2014
Spectral problems
|
|
|---|---|---|
| Page(s) | 111 - 118 | |
| DOI | https://doi.org/10.1051/mmnp/20149507 | |
| 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
University, 450
000
Ufa,
Russia
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: ibrranis@gmail.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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