On discontinuous periodic solutions and discontinuous solitary waves of two-dimensional shallow water equations

DOI10.1007/BF02019523zbMath0625.76019OpenAlexW2082925636MaRDI QIDQ580074

Si-Xun Huang

Publication date: 1987

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02019523

zbMATH Keywords

singular pointgeneralized solutiondiscontinuous periodic solutionanalytic expression of discontinuous solutiondiscontinuous solitary wavenear non-equilibrium pointpiecewise smooth continuous solutionshallow water model of geophysical fluid dynamicssquall line in the atmospheretwo-dimensional shallow water equation

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Partial differential equations of mathematical physics and other areas of application (35Q99) Basic methods in fluid mechanics (76M99)

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