Steady periodic hydroelastic waves in polar regions

Bogdan-Vasile Matioc, Emilian I. Părău

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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.
Original languageEnglish
JournalWater Waves
Early online date6 Jun 2024
DOIs
Publication statusE-pub ahead of print - 6 Jun 2024

Keywords

  • 35B32
  • 74F10
  • 76B15
  • Hydroelastic waves
  • Local bifurcation
  • Rotational waves

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