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This article is cited in 1 scientific paper (total in 1 paper)
Calculation of Integrals of the Hugoniot–Maslov Chain for Singular Vortical Solutions of the Shallow-Water Equation
S. Yu. Dobrokhotova, E. S. Semenova, B. Tirozzib
a A. Ishlinsky Institite for Problems in Mechanics, Russian Academy of Sciences
b University of Rome "La Sapienza"
Abstract:
We discuss the problems of the Hugoniot–Maslov chain integrability for singular vortical solutions of the shallow-water equations on the $\beta$ plane. We show that the complex variables used to derive the chain automatically give most of the integrals of the complete and the truncated chains. We also study how some of these integrals are related to the Lagrangian invariant (potential vorticity). We discuss how to choose solutions of the chain that can be used to describe the actual trajectories of tropical cyclones.
Keywords:
singular vortical solutions, trajectories, shallow water, integrals, chains
DOI:
https://doi.org/10.4213/tmf39
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English version:
Theoretical and Mathematical Physics, 2004, 139:1, 500–512
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Citation:
S. Yu. Dobrokhotov, E. S. Semenov, B. Tirozzi, “Calculation of Integrals of the Hugoniot–Maslov Chain for Singular Vortical Solutions of the Shallow-Water Equation”, TMF, 139:1 (2004), 62–76; Theoret. and Math. Phys., 139:1 (2004), 500–512
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/tmf39https://doi.org/10.4213/tmf39 http://mi.mathnet.ru/eng/tmf/v139/i1/p62
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This publication is cited in the following articles:
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S. Yu. Dobrokhotov, E. S. Semenov, B. Tirozzi, “Hugoniot–Maslov Chains for the System of Shallow-Water Equations Taking into Account Energy Exchange”, Math. Notes, 78:5 (2005), 740–743
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