Steady periodic hydroelastic waves in polar regions

Matioc, Bogdan-Vasile and Părău, Emilian I. ORCID: https://orcid.org/0000-0001-5134-2068 (2024) Steady periodic hydroelastic waves in polar regions. Water Waves. ISSN 2523-367X

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Abstract

We construct two-dimensional steady periodic hydroelastic waves with vorticity that propagate on water of finite depth under a deformable floating elastic plate which is modeled by using the special Cosserat theory of hyperelastic shells satisfying Kirchhoff’s hypothesis. This is achieved by providing a necessary and sufficient condition for local bifurcation from the trivial branch of laminar flow solutions.

Item Type: Article
Additional Information: Funding information: E. I. Părău acknowledges the support from the EPSRC Grant No. EP/Y02012X/1.
Faculty \ School: Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups: Faculty of Science > Research Groups > Fluid and Solid Mechanics (former - to 2024)
Faculty of Science > Research Groups > Fluids & Structures
Depositing User: LivePure Connector
Date Deposited: 14 May 2024 08:13
Last Modified: 07 Nov 2024 12:47
URI: https://ueaeprints.uea.ac.uk/id/eprint/95133
DOI: 10.1007/s42286-024-00095-1

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