Mathematics > Analysis of PDEs
[Submitted on 5 Dec 2022
]
Title: Long-time existence of Gevrey-2 solutions to the 3D Prandtl boundary layer equations
Title: 三维普朗特边界层方程的Gevrey-2解的长时间存在性
Abstract: For the three dimensional Prandtl boundary layer equations, we will show that for arbitrary $M$ and sufficiently small $\epsilon$, the lifespan of the Gevrey-2 solution is at least of size $\epsilon^{-M}$ if the initial data lies in suitable Gevrey-2 spaces with size of $\epsilon$.
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