Analysis of a Sturm–Liouville Problem Arising in Atmosphere
Journal Article
(2024)
Author(s)
Kateryna Marynets (TU Delft - Mathematical Physics)
Research Group
Mathematical Physics
DOI related publication
https://doi.org/10.1007/s00021-024-00873-4
To reference this document use:
https://resolver.tudelft.nl/uuid:53e58d42-1454-4752-9f3f-5a78975a539b
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Publication Year
2024
Language
English
Research Group
Mathematical Physics
Issue number
2
Volume number
26
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Abstract
We present recent results in study of a mathematical model of the sea-breeze flow, arising from a general model of the ’morning glory’ phenomena. Based on analysis of the Dirichlet spectrum of the corresponding Sturm–Liouville problem and application of the Fredholm alternative, we establish conditions of existence/uniqueness of solutions to the given problem.