73 citations · 120 across the 17 of their papers we have counts for
4 papers · 1 filter
On the ill-posedness of the Prandtl equations in three space dimensions
Cheng-Jie Liu, Ya-Guang Wang, Tong Yang
In this paper, we give an instability criterion for the Prandtl equations in three space variables, which shows that the monotonicity condition of tangential velocity fields is not…
Local well-posedness of Prandtl equations for compressible flow in two space variables
Ya-Guang Wang, Feng Xie, Tong Yang
In this paper, we consider the local well-posedness of the Prandtl boundary layer equations that describe the behavior of boundary layer in the small viscosity limit of the compres…
Structural Stability of Supersonic Contact Discontinuities in Three-Dimensional Compressible Steady Flows
Ya-Guang Wang, Fang Yu
In this paper, we study the structurally nonlinear stability of supersonic contact discontinuities in three-dimensional compressible isentropic steady flows. Based on the weakly li…
A well-posedness theory for the Prandtl equations in three space variables
Cheng-Jie Liu, Ya-Guang Wang, Tong Yang
The well-posedness of the three space dimensional Prandtl equations is studied under some constraint on its flow structure. It reveals that the classical Burgers equation plays an…