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Matematicheskie Zametki, 2012, Volume 92, Issue 5, Pages 721–730
DOI: https://doi.org/10.4213/mzm10129 (Mi mzm10129) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Asymptotics of the Solutions of the One-Dimensional Nonlinear System of Equations of Shallow Water with Degenerate Velocity

D. S. Minenkov

A. Ishlinsky Institite for Problems in Mechanics, Russian Academy of Sciences
Full-text PDF (527 kB) Citations (12)
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DOI: https://doi.org/10.4213/mzm10129
Abstract: A system of one-dimensional nonlinear equations of shallow water with degenerate velocity is considered. The change of variables taking the given system to a nonlinear system with small nonlinearity is proposed. Formal asymptotic solutions near the point of degeneracy are obtained.
Keywords: nonlinear system of equations of shallow water, Carrier–Greenspan transformation, Cauchy problem, Schwartz space, Duhamel integral, Hankel transform.
Received: 20.02.2012
English version:
Mathematical Notes, 2012, Volume 92, Issue 5, Pages 664–672
DOI: https://doi.org/10.1134/S0001434612110090
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: D. S. Minenkov, “Asymptotics of the Solutions of the One-Dimensional Nonlinear System of Equations of Shallow Water with Degenerate Velocity”, Mat. Zametki, 92:5 (2012), 721–730; Math. Notes, 92:5 (2012), 664–672
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
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