Hamiltonian formulation for interfacial periodic waves propagating under an elastic sheet above stratified piecewise constant rotational flow

Martin, Călin-Iulian and Părău, Emilian I. (2025) Hamiltonian formulation for interfacial periodic waves propagating under an elastic sheet above stratified piecewise constant rotational flow. Wave Motion, 133. ISSN 0165-2125

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Abstract

We present a Hamiltonian formulation of two-dimensional hydroelastic waves propagating at the free surface of a stratified rotational ideal fluid of finite depth, covered by a thin ice sheet. The flows considered exhibit a discontinuous stratification and piecewise constant vorticity, accommodating the presence of interfaces and of linearly sheared currents.

Item Type:	Article
Additional Information:	Data availability statement: No data was used for the research described in the article. Funding information: C.-I. Martin acknowledges the support from the project “Nonlinear Studies of Stratified Oceanic and Atmospheric Flows” funded by the European Union – NextGenerationEU and Romanian Government, under the National Recovery and Resilience Plan for Romania, contract no. 760040/23.05.2023, cod PNRR-C9-I8-CF 185/22.11.2022, through the Romanian Ministry of Research, Innovation, and Digitalization, within Component 9, Investment I8. E. Părău acknowledges the support from the EPSRC, United Kingdom Grant No. EP/Y02012X/1.
Faculty \ School:	Faculty of Science > School of Engineering, Mathematics and Physics
UEA Research Groups:	Faculty of Science > Research Groups > Fluids & Structures
Depositing User:	LivePure Connector
Date Deposited:	27 Nov 2024 10:46
Last Modified:	25 Oct 2025 11:31
URI:	https://ueaeprints.uea.ac.uk/id/eprint/97767
DOI:	10.1016/j.wavemoti.2024.103454

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