A Sturm–Liouville Problem Arising in the Atmospheric Boundary-Layer Dynamics

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Abstract

We present an approach that facilitates the generation of explicit solutions to atmospheric Ekman flows with a height-dependent eddy viscosity. The approach relies on applying to the governing equations, of Sturm–Liouville type, a suitable Liouville substitution and then reducing the outcome to a nonlinear first-order differential equation of Riccati type.

Original languageEnglish
Article number41
Number of pages6
JournalJournal of Mathematical Fluid Mechanics
Volume22
Issue number3
DOIs
Publication statusPublished - 1 Sep 2020

Keywords

  • Dynamics of the atmosphere
  • Sturm–Liouville problem

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