A Sturm–Liouville Problem Arising in the Atmospheric Boundary-Layer Dynamics
Kateryna Marynets (TU Delft - Electrical Engineering, Mathematics and Computer Science)
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Abstract
We present an approach that facilitates the generation of explicit solutions to atmospheric Ekman flows with a height-dependent eddy viscosity. The approach relies on applying to the governing equations, of Sturm–Liouville type, a suitable Liouville substitution and then reducing the outcome to a nonlinear first-order differential equation of Riccati type.
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