We consider the problem of two‐dimensional supersonic flow onto a solid wedge, or
equivalently in a concave corner formed by two solid walls. For mild corners, there are two …

Some recent developments in the study of the Cauchy problem for the Euler equations for
compressible fluids are reviewed. The local and global well-posedness for smooth solutions …

We are concerned with free boundary problems arising from the analysis of
multidimensional transonic shock waves for the Euler equations in compressible fluid …

This paper focuses on the structure of classical sonic-supersonic solutions near sonic curves
for the two-dimensional full Euler equations in gas dynamics. In order to deal with the …

We establish the existence of a global solution to a regular reflection of a shock hitting a
ramp for the pressure gradient system of equations. The set-up of the reflection is the same …

In this paper we study the transonic shock in steady compressible flow passing a duct. The
flow is a given supersonic one at the entrance of the duct and becomes subsonic across a …

High-speed flow research has been sponsored and performed at differing levels of effort
since the late 1800s. For example, hypersonic research has experienced numerous cycles …

The shock reflection problem is one of the most important problems in mathematical fluid
dynamics, since this problem not only arises in many important physical situations but also is …

We study the stability of stationary transonic shock fronts under two-dimensional
perturbation in gas dynamics. The motion of the gas is described by the full Euler system …

We study a family of two-dimensional Riemann problems for compressible flow modeled by
the nonlinear wave system. The initial constant states are separated by two jump …