三维普朗特边界层方程的 Gevrey-2 长期存在解

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

Communications in Mathematical Sciences Pub Date : 2024-07-15 DOI:10.4310/cms.2024.v22.n5.a3

Xinghong Pan, Chao-Jiang Xu

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引用次数: 0

摘要

对于三维普朗特边界层方程，我们将证明，对于任意的 $M$ 和足够小的 $\epsilon$，如果初始数据位于大小为 $\epsilon$ 的合适 Gevrey-2 空间中，Gevrey-2 解的寿命至少为 $\epsilon^{-M}$。

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

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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来源期刊

Communications in Mathematical Sciences 数学-应用数学

CiteScore

1.70

自引率

10.00%

发文量

审稿时长

6 months

期刊介绍： Covers modern applied mathematics in the fields of modeling, applied and stochastic analyses and numerical computations—on problems that arise in physical, biological, engineering, and financial applications. The journal publishes high-quality, original research articles, reviews, and expository papers.