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Matematicheskie Zametki, 2002, Volume 71, Issue 6, Pages 902–913
DOI: https://doi.org/10.4213/mzm394 (Mi mzm394) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Hugoniót–Maslov Conditions for Vortex Singular Solutions of the Shallow Water Equations

E. S. Semenov

Russian Research Centre "Kurchatov Institute"
Full-text PDF (224 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm394
Abstract: For the “phase” of vortex singular solutions of the shallow water equations we justify the Hamilton–Jacobi equation corresponding to the hydrodynamical mode of perturbation propagation. We also obtain the next correction to the Cauchy–Riemann conditions describing how the singular part of the solution affects the smooth background.
Received: 14.01.2002
English version:
Mathematical Notes, 2002, Volume 71, Issue 6, Pages 825–835
DOI: https://doi.org/10.1023/A:1015877013833
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: E. S. Semenov, “Hugoniót–Maslov Conditions for Vortex Singular Solutions of the Shallow Water Equations”, Mat. Zametki, 71:6 (2002), 902–913; Math. Notes, 71:6 (2002), 825–835
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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