Steady periodic hydroelastic waves in polar regions

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Matioc, Bogdan-Vasile and Părău, Emilian I. (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.
Uncontrolled Keywords:	35b32,74f10,76b15,hydroelastic waves,local bifurcation,rotational waves,computational mathematics,analysis,applied mathematics,modelling and simulation ,/dk/atira/pure/subjectarea/asjc/2600/2605
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
Related URLs:	http://www.scopus.com/inward/record.url?...
Depositing User:	LivePure Connector
Date Deposited:	14 May 2024 08:13
Last Modified:	06 Feb 2025 11:56
URI:	https://ueaeprints.uea.ac.uk/id/eprint/95133
DOI:	10.1007/s42286-024-00095-1

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