zbMATH — the first resource for mathematics

A model for the two-way propagation of water waves in a channel. (English) Zbl 0332.76007

76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs
35L60 First-order nonlinear hyperbolic equations
35F25 Initial value problems for nonlinear first-order PDEs
Full Text: DOI
[1] Boussinesq, Comptes Rendus de l’Academie des Sciences 73 pp 256– (1871)
[2] DOI: 10.1098/rsta.1975.0035 · Zbl 0306.35027 · doi:10.1098/rsta.1975.0035
[3] DOI: 10.1098/rsta.1972.0032 · Zbl 0229.35013 · doi:10.1098/rsta.1972.0032
[4] Benjamin, Lectures in Applied Mathematics 15 (1974)
[5] Yosida, Functional analysis (1971) · doi:10.1007/978-3-662-00781-5
[6] DOI: 10.1017/S0022112071002295 · Zbl 0229.76011 · doi:10.1017/S0022112071002295
[7] Peregrine, Journal of Hydraulic Research 12 pp 141– (1974) · doi:10.1080/00221687409499762
[8] DOI: 10.1017/S0022112069002461 · doi:10.1017/S0022112069002461
[9] DOI: 10.1017/S0022112064001094 · Zbl 0123.22901 · doi:10.1017/S0022112064001094
[10] Hardy, Inequalities (1952)
[11] Peregrine, Waves on Beaches and Resulting Sediment Transport (1972)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.