Existence and uniqueness in the reflection-transmission problem

DOI10.1093/QJMAM/52.4.543zbMath0962.74028OpenAlexW2162623080MaRDI QIDQ4949963

Giacomo Caviglia, Angelo Morro

Publication date: 7 May 2000

Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qjmam/52.4.543

zbMATH Keywords

stabilityasymptotic expansionshallow water equationsunstable modespositive feedback mechanismsmall-scale perturbationssediment dynamicsbed evolution equationformation of channelstidal embayments

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Bulk waves in solid mechanics (74J10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25)

Related Items (3)

Uniqueness Results for Reflection and Transmission in a Solid Layer ⋮ Reflection and transmission in pre-stressed stratified multilayers. ⋮ Reflection and transmission in anisotropic dissipative multilayers

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