What are some interesting real world applications of the Airy differential equation and its solutions? I found a pdf of *Airy Functions and Applications to Physics* by Olivier Vallée and Manuel Soares. Some applications it touches on are:

In Classical Physics
*Optics and Electromagnetism
*Fluid Mechanics
(The Tricomi Equation)
(The Orr-Sommerfeld Equation)
*Elasticity
*The Heat Equation
*Nonlinear Physics
(Korteweg-de Vries Equation)
(The Second Painlevé Equation)

In Quantum Physics
*The Schrödinger Equation
*Evaluation of the Franck-Condon Factors
*The Semiclassical Wigner Distribution
*Airy Transform of the Schrödinger Equation

I didn't bother with all the subsections of the Quantum Mechanics applications because they're beyond me for now; for context of my level of understanding, this semester I'll be finishing Calc 3, Intro to DiffEqs, and Physics 2 (essentially E&M). I'm writing a paper on the Airy differential equation and need to explain two applications of it, but I'm not sure which ones I should choose. I heard there was same "controversial" application to wind flow over a wing but I couldn't find any resources on it. What are some good applications that aren't necessarily physics (physics is good too if that's where all the cool ones are), and that I could realistically wrap my head around at a basic level?