论文标题

长期存在Gevrey-2解决方案到3D PrandTL边界层方程

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

论文作者

Pan, Xinghong, Xu, Chao-Jiang

论文摘要

对于三维PRANDTL边界层方程式,我们将证明,对于任意$ M $和足够小的$ε$,Gevrey-2解决方案的寿命至少为$ $ε^{ - M} $,如果初始数据在适当的Gevrey-2空间中,大小为$ $ε$。

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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