Highly rotating fluids with vertical stratification for periodic data and vanishing vertical viscosity

• Stefano Scrobogna ^[1]
  1. [1] Basque Center for Applied Mathematics

     Basque Center for Applied Mathematics

     Bilbao, España

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 34, Nº 1, 2018, págs. 1-58
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • We prove that the three-dimensional, periodic primitive equations with zero vertical diffusivity are globally well posed if the Rossby and Froude number are sufficiently small. The initial data is considered to be of zero horizontal average and the space domain may be resonant. No smallness assumption is assumed on the initial data.