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<p>In this paper, we investigate a mathematical model of sea-breeze flow described by a second-order differential equation, which explains the morning glory phenomenon. Firstly, we establish the existence and uniqueness of solutions by applying the Fredholm alternative theorem. Then, we consider approximate solutions by using the Taylor expansion theorem. We also apply a Fourier analysis for computing the solution and present some numerical methods. Finally, by making appropriate assumptions for the forcing term, we transform the original equation into a Sturm–Liouville problem and analyze the corresponding eigenvalue problem.</p>

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On a Sea-Breeze Flow Mathematical Model in Troposphere

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • Zhuohao Li,
  • Michal Fečkan,
  • JinRong Wang

摘要

In this paper, we investigate a mathematical model of sea-breeze flow described by a second-order differential equation, which explains the morning glory phenomenon. Firstly, we establish the existence and uniqueness of solutions by applying the Fredholm alternative theorem. Then, we consider approximate solutions by using the Taylor expansion theorem. We also apply a Fourier analysis for computing the solution and present some numerical methods. Finally, by making appropriate assumptions for the forcing term, we transform the original equation into a Sturm–Liouville problem and analyze the corresponding eigenvalue problem.