On equatorial wave–current interactions

Novruzov E.

Annali di Matematica Pura ed Applicata, cilt.201, sa.1, ss.157-173, 2022 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 201 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1007/s10231-021-01111-8
  • Dergi Adı: Annali di Matematica Pura ed Applicata
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.157-173
  • Anahtar Kelimeler: Water waves, Hamiltonian formulation, Nonlinear equations of motion
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

© 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.