Waves interacting with a partially immersed obstacle in the Boussinesq regime

DOI10.2140/apde.2021.14.1085OpenAlexW3196121390WikidataQ114045493 ScholiaQ114045493MaRDI QIDQ2236630

David Lannes, Guy Metivier, Bresch, Didier

Publication date: 25 October 2021

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.04837

zbMATH Keywords

free surfacecompatibility conditionslocal well-posednessBoussinesq systemtransmission problemwave-structure interactiondispersive boundary layeroscillations in time

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61)

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