A Sturm–Liouville Problem Arising in the Atmospheric Boundary-Layer Dynamics
Journal Article
(2020)
Author(s)
Kateryna Marynets (TU Delft - Mathematical Physics)
Research Group
Mathematical Physics
Copyright
© 2020 K. Marynets
DOI related publication
https://doi.org/10.1007/s00021-020-00507-5
To reference this document use:
https://resolver.tudelft.nl/uuid:0e99d0d9-e63a-4289-86ae-77b12a0a594b
More Info
expand_more
expand_more
Publication Year
2020
Language
English
Copyright
© 2020 K. Marynets
Research Group
Mathematical Physics
Issue number
3
Volume number
22
Reuse Rights
Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.
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.
help_outline