On Some Azimuthally Propagating Flows with Stratification

• Fahe Miao ^[1] ; Michal Feckan ^[2] ; JinRong Wang ^[1]
  1. [1] Guizhou University

     Guizhou University

     China

     
  2. [2] Comenius University

     Comenius University

     Eslovaquia

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 3, 2023
• Idioma: inglés
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• Resumen

  • We present an exact solution to the governing equations for some azimuthally propagating flows with stratification in the spherical coordinates. Using the short-wavelength perturbation method in the spirit of Constantin, Germain (J Geophys Res Oceans 118:2802-2810, 2013), Henry, Martin (J Diff Equ 266:6788-6808, 2019), Henry, Martin (Arch Rat Mech Anal 233:497-512, 2019), Ionescu-Kruse, Martin (J Math Fluid Mech 20:7-34, 2018), we prove that such flows are linearly stable for a specific choice of the density.