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Martin, Cǎlin Iulian and Pǎrǎu, Emilian I. 
ORCID: https://orcid.org/0000-0001-5134-2068
(2026)
Travelling hydroelastic waves in constant vorticity flows with stagnation points.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 482 (2329).
ISSN 1364-5021
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Abstract
We present a bifurcation approach which delivers two-dimensional travelling hydroelastic water waves propagating at the free surface of a rotational ideal fluid of constant vorticity and finite depth, covered by a thin ice sheet which is modelled by using the special Cosserat theory of hyperelastic shells satisfying Kirchhoff's hypothesis. The approach is based on a reformulation of the water wave problem as a pseudodifferential equation for a function of one variable, giving the elevation of the free surface (allowed to have overhanging profiles). Moreover, the involved method permits the existence of stagnation points whose existence in the resulting solution flows is then proved rigorously.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | cosserat theory,dirichlet-neumann map,hilbert transform,hydroelastic waves,stagnation points,general mathematics,general engineering,general physics and astronomy ,/dk/atira/pure/subjectarea/asjc/2600/2600 |
| Faculty \ School: | Faculty of Science > School of Engineering, Mathematics and Physics |
| Related URLs: | |
| Depositing User: | LivePure Connector |
| Date Deposited: | 07 Aug 2026 10:10 |
| Last Modified: | 09 Aug 2026 05:27 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/104036 |
| DOI: | 10.1098/rspa.2025.0372 |
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