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

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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.

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Authors and Affiliations

  1. Institute of Natural Science and Ecology, Russian Scientific Center “Kurchatov Institute”, Russia

    E. S. Semenov

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  1. E. S. Semenov
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Semenov, E.S. Hugoniót--Maslov Conditions for Vortex Singular Solutions of the Shallow Water Equations. Mathematical Notes 71, 825–835 (2002). https://doi.org/10.1023/A:1015877013833

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  • DOI: https://doi.org/10.1023/A:1015877013833

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