四川大学学报（自然科学版）2025，Vol.62Issue(2)：328-333,6.DOI:10.19907/j.0490-6756.230242
轴对称可压缩空腔流问题轴向速度的正性
Positivity of the axial velocity for axially symmetric compressible cavity flow problem
摘要
Abstract
Cavity flows contain complex physical phenomena such as vortex motion and shear layer interfer-ence.High-speed cavity flows may cause fatigue damage to the components and equipment in the cavity of an aircraft easily.Therefore,cavity flow theory plays an important role in improving aircraft performance while it has always been a research hotspot in fluid mechanics.In the work on the 3D axially symmetric compressible cavity flow by Alt-Caffarelli-Friedman,the well-posedness result on the subsonic solution was established.As byproducts,they also obtained the convexity of the free boundary for the compressible subsonic cavity flow.In this paper,based on the convex geometry property of the free boundary,the positivity of the axial ve-locity in the fluid is proved.Furthermore,under the strictly convex condition of the free boundary,the opti-mal regularity of the free boundary at the separation point is also obtained.关键词
可压缩空腔流/轴向速度/自由边界/最优正则性Key words
Compressible cavity flow/Axial velocity/Free boundary/Optimal regularity(2020 MSC 76B10)分类
数理科学引用本文复制引用
王欣..轴对称可压缩空腔流问题轴向速度的正性[J].四川大学学报（自然科学版）,2025,62(2):328-333,6.基金项目
四川省青年科技创新研究团队项目(2021JDTD0024) （2021JDTD0024）
重庆市教委科学技术研究项目(KJQN202403428) （KJQN202403428）
