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

Journal article (2023)

Authors

K. Marynets Mathematical Physics - EEMCS
Research Group
Mathematical Physics (EEMCS) (TU Delft)
Copyright: © 2023 K. Marynets
DOI: https://doi.org/10.1007/s00021-022-00747-7
Dirichlet spectrum Fredholm alternative Legendre equations Sea-Breeze flow Sturm-Liouville problem
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Published Date

2023

Language

English

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Mathematical Physics

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.