The convexity for compressible subsonic cavity flows

被引：0
|
作者：
Wang, Xiaohui [1 ]
机构：
[1] Chengdu Univ Technol, Coll Math & Phys, Geomath Key Lab Sichuan Prov, Chengdu 610059, Peoples R China
来源：
STUDIES IN APPLIED MATHEMATICS | 2023年 / 151卷 / 04期
基金：
中国国家自然科学基金;
关键词：
convexity; Euler system; free boundary; optimal regularity; subsonic cavity; FULL EULER FLOWS; LARGE VORTICITY; EXISTENCE;
D O I：
10.1111/sapm.12626
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first show that the flow velocity takes its maximum on the free boundary, provided that the nozzle wall and obstacle satisfy some corresponding geometric assumptions. Second, the convexity of the free boundary to the compressible subsonic cavity flows will be established. Finally, the optimal regularity of the free boundary at the detachment point is obtained.
引用
收藏
页码：1332 / 1348
页数：17
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