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

Kateryna Marynets*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

1 Citation (Scopus)
52 Downloads (Pure)


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 languageEnglish
Article number6
Pages (from-to)1-7
Number of pages7
JournalJournal of Mathematical Fluid Mechanics
Issue number1
Publication statusPublished - 2023


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


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