Optimal Prandtl expansion around concave boundary layer

Abstract

We provide an optimal Gevrey stability result for general boundary layer expansions, under a mild concavity condition on the boundary layer profile. Our result generalizes (and even improves in the non strictly concave case) the one obtained in [Gerard-Varet et al, Duke Math. J. 167 (2018)], restricted to expansions of shear flow type.

Cited by in corpus (5)

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• Boundary Layer Expansions for the Stationary Navier-Stokes Equations
• Well-posedness of the MHD boundary layer system in Gevrey function space without Structural Assumption
• Remarks on the Steady Prandtl Boundary Layer Expansions