Analysis of a Sturm–Liouville Problem Arising in Atmosphere

Kateryna Marynets

doi:10.1007/s00021-024-00873-4

Analysis of a Sturm–Liouville Problem Arising in Atmosphere

Kateryna Marynets^*

^*Corresponding author for this work

Mathematical Physics

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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.

Original language	English
Article number	38
Number of pages	8
Journal	Journal of Mathematical Fluid Mechanics
Volume	26
Issue number	2
DOIs	https://doi.org/10.1007/s00021-024-00873-4
Publication status	Published - 2024

Keywords

34B05
34B24
37N10
Dirichlet spectrum
Fredholm alternative
Morning glory
Sea-breeze flow
Sturm–Liouville problem

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10.1007/s00021-024-00873-4

s00021-024-00873-4Final published version, 607 KBLicence: CC BY

Cite this

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title = "Analysis of a Sturm–Liouville Problem Arising in Atmosphere",

abstract = "We present recent results in study of a mathematical model of the sea-breeze flow, arising from a general model of the {\textquoteright}morning glory{\textquoteright} 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.",

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AB - 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.

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ER -

Analysis of a Sturm–Liouville Problem Arising in Atmosphere

Abstract

Keywords

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