Non-existence of global energy minimisers in stokes waves problems

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

Recently it was shown that a wave profile which minimises total energy, elastic plus hydrodynamic, subject to the vorticity distribution being prescribed, gives rise to a steady hydroelastic wave. Using this formulation, the existence of non-trivial minimisers leading to such waves was established for certain non-zero values of the elastic constants used to model the surface. Here we show that when these constants are zero, global minimisers do not exist except in a unique set of circumstances.

Original languageEnglish
Pages (from-to)3211-3217
Number of pages7
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume34
Issue number8
DOIs
Publication statusPublished - Aug 2014

Keywords

  • Energy-minimizers
  • Shape optimisation
  • Stokes waves
  • Waves with vorticity

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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