A Differential Algebraic Framework for Boundary Layer $\alpha$-Models

This paper employs a differential algebraic framework to resolve the finite-time blow-up paradox in boundary layer models by distinguishing the saturation monoids of Prandtl and Leray-$\alpha$ systems, thereby enabling the derivation of Taylor expansion coefficients near the wall when the Helmholtz operator is applied.

Original authors: C. Valencia-Negrete, J. Flores, M. Perez, M. Romero de Terreros, M. Favela