Sturm-Liouville Boundary Value Problem for a Sea-Breeze Flow

Kateryna Marynets

doi:10.1007/s00021-022-00747-7

Sturm-Liouville Boundary Value Problem for a Sea-Breeze Flow

Kateryna Marynets^*

^*Corresponding author for this work

Mathematical Physics

Research output: Contribution to journal › Article › Scientific › peer-review

4 Citations (Scopus)

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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 a 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	6
Pages (from-to)	1-7
Number of pages	7
Journal	Journal of Mathematical Fluid Mechanics
Volume	25
Issue number	1
DOIs	https://doi.org/10.1007/s00021-022-00747-7
Publication status	Published - 2023

Keywords

Dirichlet spectrum
Fredholm alternative
Legendre equations
Sea-Breeze flow
Sturm-Liouville problem

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10.1007/s00021-022-00747-7

s00021-022-00747-7Final published version, 1.11 MBLicence: CC BY

Cite this

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KW - Fredholm alternative

KW - Legendre equations

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KW - Sturm-Liouville problem

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Sturm-Liouville Boundary Value Problem for a Sea-Breeze Flow

Abstract

Keywords

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