29 citations · 74 across the 11 of their papers we have counts for
11 papers
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…
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…
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…
Generalized Newton-Busemann Law For Two-Dimensional Steady Hypersonic-limit Euler Flows Passing Ramps With Skin-Frictions
Aifang Qu, Xueying Su, Hairong Yuan
By considering Radon measure solutions for boundary value problems of stationary non-isentropic compressible Euler equations on hypersonic-limit flows passing ramps with frictions…
Infinite-thin shock layer solutions for stationary compressible conical flows and numerical results via Fourier spectral method
Aifang Qu, Xueying Su, Hairong Yuan
We consider the problem of uniform steady supersonic Euler flows passing a straight conical body with attack angles, and study Radon measure solutions describing the infinite-thin…
Delta Shock as Free Piston in Pressureless Euler Flows
Le Gao, Aifang Qu, Hairong Yuan
We establish the equivalence of free piston and delta shock, for the one-space-dimensional pressureless compressible Euler equations. The delta shock appearing in the singular Riem…
Radon Measure Solutions to Riemann Problems for Isentropic Compressible Euler Equations of Polytropic Gases
Yunjuan Jin, Aifang Qu, Hairong Yuan
We solve the Riemann problems for isentropic compressible Euler equations of polytropic gases in the class of Radon measures, and the solutions admit the concentration of mass. It…
On Two-Dimensional Steady Hypersonic-Limit Euler Flows Passing Ramps and Radon Measure Solutions of Compressible Euler Equations
Yunjuan Jin, Aifang Qu, Hairong Yuan
We proposed rigorous definitions of Radon measure solutions for boundary value problems of steady compressible Euler equations which modeling hypersonic-limit inviscid flows passin…
Measure solutions of one-dimensional piston problem for compressible Euler equations of Chaplygin gas
Aifang Qu, Hairong Yuan
We are concerned with the one-dimensional piston problem for the compressible Euler equations of Chaplygin gas. If the piston moves at constant subsonic speed to the uniform gas, t…
High Mach number limit of one-dimensional piston problem for non-isentropic compressible Euler equations: Polytropic gas
Aifang Qu, Hairong Yuan, Qin Zhao
We study high Mach number limit of the one dimensional piston problem for the full compressible Euler equations of polytropic gas, for both cases that the piston rushes into or rec…
Hypersonic limit of two-dimensional steady compressible Euler flows passing a straight wedge
Aifang Qu, Hairong Yuan, Qin Zhao
We formulated a problem on hypersonic limit of two-dimensional steady non-isentropic compressible Euler flows passing a straight wedge. It turns out that Mach number of the upcomin…