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arXiv · 2005.05022

Optimal Prandtl expansion around concave boundary layer

David Gerard-Varet·Yasunori Maekawa·Nader Masmoudi
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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.

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David Gerard-Varet, Yasunori Maekawa, Nader Masmoudi. 2020-05-11. Optimal Prandtl expansion around concave boundary layer. https://arxiv.org/abs/2005.05022

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