Dynamic Stability for Steady Prandtl Solutions

IF 2.4 1区 数学 Q1 MATHEMATICS
Yan Guo, Yue Wang, Zhifei Zhang
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Abstract

By establishing an invariant set (1.11) for the Prandtl equation in Crocco transformation, we prove the orbital and asymptotic stability of Blasius-like steady states against Oleinik’s monotone solutions.

稳定Prandtl解的动态稳定性
通过在Crocco变换中为Prandtl方程建立一个不变集(1.11),我们证明了类Blasius稳态对Oleinik单调解的轨道稳定性和渐近稳定性。
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来源期刊
Annals of Pde
Annals of Pde Mathematics-Geometry and Topology
CiteScore
3.70
自引率
3.60%
发文量
22
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