3 papers
math.AP2025
Hypersonic flow onto a large curved wedge and the dissipation of shock wave
Dian Hu, Aifang Qu
The flow field with a Mach number larger than 5 is named hypersonic flow. In this paper, we explore the existence of smooth flow field after shock for hypersonic potential flow pas…
math.AP2024
Mathematical Analysis and Numerical Computation of String Vibration Equations with Elastic Supports for Bridge Cable Force Evaluation
Minhui Tan, Qing Xu, Hairong Yuan +4
This study focuses on a critical aspect of bridge engineering -- the evaluation of cable forces, paying particular attention to the cables that are internally constrained by elasti…
math.AP2024
Hypersonic limit for steady compressible Euler flows passing straight cones
Qianfeng Li, Aifang Qu, Xueying Su +1
We investigate the hypersonic limit for steady, uniform, and compressible polytropic gas passing a symmetric straight cone. By considering Radon measure solutions, we show that as…