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

Journal article (2020)

Authors

K. Marynets Mathematical Physics - EEMCS
Research Group
Mathematical Physics (EEMCS) (TU Delft)
Copyright: © 2020 K. Marynets
DOI: https://doi.org/10.1007/s00021-020-00507-5
Dynamics of the atmosphere Sturm–Liouville problem
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Published Date

01-09-2020

Language

English

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Mathematical Physics

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.