On the existence of steady periodic capillary-gravity stratified water waves

• David Henry ^[1] ; Bogan-Vasile Matioc ^[2]
  1. [1] University College Cork

     University College Cork

     Irlanda

     
  2. [2] University of Hannover

     University of Hannover

     Region Hannover, Alemania

     
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 12, Nº 4, 2013, págs. 955-974
• Idioma: inglés
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• Resumen

  • We prove the existence of small steady periodic capillary-gravity water waves for stratified flows, where we allow for stagnation points in the flow.

    We establish the existence of both laminar and non-laminar flow solutions for the governing equations. This is achieved using bifurcation theory and estimates based on the ellipticity of the system, where we regard, in turn, the mass-flux and surface tension as bifurcation parameters.