无旋流轴对称欧拉流的最优涡旋拉伸速率

IF 2.6 1区数学 Q1 MATHEMATICS, APPLIED

Archive for Rational Mechanics and Analysis Pub Date : 2025-05-09 DOI:10.1007/s00205-025-02103-1

Deokwoo Lim, In-Jee Jeong

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引用次数: 0

摘要

对于无旋流和紧支初始涡量的轴对称流动，我们证明了Childress （Phys）猜想的最大涡量增长的上界\(t^{4/3}\)。[j] .流体力学与工程学报，2016,35 (4):557 - 557 .]关键是通过动能和涉及涡度的守恒量来估计速度最大值。

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On the Optimal Rate of Vortex Stretching for Axisymmetric Euler Flows Without Swirl

For axisymmetric flows without swirl and compactly supported initial vorticity, we prove the upper bound of \(t^{4/3}\) for the growth of the vorticity maximum, which was conjectured by Childress (Phys. D 237(14-17):1921-1925, 2008) and supported by numerical computations from Childress–Gilbert–Valiant (J. Fluid Mech. 805:1-30, 2016). The key is to estimate the velocity maximum by the kinetic energy together with conserved quantities involving the vorticity.

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来源期刊

Archive for Rational Mechanics and Analysis 物理-力学

CiteScore

5.10

自引率

8.00%

发文量

审稿时长

4-8 weeks

期刊介绍： The Archive for Rational Mechanics and Analysis nourishes the discipline of mechanics as a deductive, mathematical science in the classical tradition and promotes analysis, particularly in the context of application. Its purpose is to give rapid and full publication to research of exceptional moment, depth and permanence.