The Boundary Value Problem for the Nonlinear Shallow Water Equations

DOI10.1111/J.1365-2966.2007.00378.XOpenAlexW2080593994MaRDI QIDQ6203696

Matteo Antuono, Maurizio Brocchini

Publication date: 6 April 2024

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1365-2966.2007.00378.x

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

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Asymptotics of long nonlinear propagating waves in a one-dimensional basin with gentle shores ⋮ Long wave propagation and run-up in converging bays ⋮ Kernel representation of long-wave dynamics on a uniform slope ⋮ The generalized Carrier-Greenspan transform for the shallow water system with arbitrary initial and boundary conditions

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