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

Title

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

 Author

Marynets, K. (TU Delft Mathematical Physics) ORCID 0000-0002-0043-6336

 Date

2020-09-01

 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.


 Subject

Dynamics of the atmosphere
Sturm–Liouville problem

 To reference this document use:

http://resolver.tudelft.nl/uuid:0e99d0d9-e63a-4289-86ae-77b12a0a594b

 DOI

https://doi.org/10.1007/s00021-020-00507-5

 ISSN

1422-6928

 Source

Journal of Mathematical Fluid Mechanics, 22 (3)

 Part of collection

Institutional Repository

 Document type

journal article

 Rights

© 2020 K. Marynets
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