Analysis of a Sturm–Liouville Problem Arising in Atmosphere
Kateryna Marynets (TU Delft - Electrical Engineering, Mathematics and Computer Science)
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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.