2 papers
math.AP2025
Uniqueness of transonic shock solutions in general approximate nozzles for steady potential flow
Minghong Han, Bingsong Long, Hairong Yuan
We study the uniqueness of solutions with a transonic shock in a two-dimensional Riemannian manifold with a special metric, which can be regarded as an approximate model of the gen…
math.AP2025
Hypersonic similarity law for steady compressible Euler flows past slender bodies within the framework of Radon measure solutions
Shifan Kang, Bingsong Long, Hairong Yuan
In this paper, we establish a mathematical theory on statement and validation of the hypersonic similarity law within the framework of Radon measure solutions of steady compressibl…