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arXiv · 2212.02113

Long-time existence of Gevrey-2 solutions to the 3D Prandtl boundary layer equations

Xinghong Pan·Chao-Jiang Xu
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Abstract

For the three dimensional Prandtl boundary layer equations, we will show that for arbitrary $M$ and sufficiently small $ε$, the lifespan of the Gevrey-2 solution is at least of size $ε^{-M}$ if the initial data lies in suitable Gevrey-2 spaces with size of $ε$.

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Xinghong Pan, Chao-Jiang Xu. 2022-12-05. Long-time existence of Gevrey-2 solutions to the 3D Prandtl boundary layer equations. https://arxiv.org/abs/2212.02113

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