Propagation of long-crested water waves

DOI10.3934/dcds.2013.33.599zbMath1302.35310OpenAlexW2147712839MaRDI QIDQ1946312

Jerry L. Bona, Colette Guillopé, Thierry Colin

Publication date: 19 April 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2013.33.599

zbMATH Keywords

initial-boundary-value problemsBoussinesq systemsbore propagationLong-crested water waves

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Soliton equations (35Q51) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09)

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