On equatorial wave–current interactions

Novruzov E.

Annali di Matematica Pura ed Applicata, vol.201, no.1, pp.157-173, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 201 Issue: 1
  • Publication Date: 2022
  • Doi Number: 10.1007/s10231-021-01111-8
  • Journal Name: Annali di Matematica Pura ed Applicata
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.157-173
  • Keywords: Water waves, Hamiltonian formulation, Nonlinear equations of motion
  • Kocaeli University Affiliated: No

Abstract

© 2021, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag GmbH Germany, part of Springer Nature.We use the Hamiltonian structure of equatorial wave-current interactions in the case of non-zero constant vorticity in the near-surface homogeneous layer, studying the dispersion relation for linear long waves outrunning the currents (downstream waves). We also investigate the behavior of the lifespan of the solution of the evolution equation for nonlinear long internal waves with respect to vorticity values.