3 papers
math.AP2026
Global stability of three dimensional steady Prandtl equation
Weiming Shen, Yue Wang, Tong Yang
The well-posedness of three dimensional Prandtl equation is an outstanding open problem despite of the study in analytic and Gevrey function spaces. This problem is raised as the t…
math.AP2025
Structural stability of boundary layers in the entire subsonic regime
Shengxin Li, Tong Yang, Zhu Zhang
Despite the physical importance, there are limited mathematical theories for the compressible Navier-Stokes equations with strong boundary layers. This is mainly due to the absence…
math.AP2025
Knudsen boundary layer equations with incoming boundary condition: full range of cutoff collision kernels and Mach numbers of the far field
Ning Jiang, Yi-Long Luo, Yulong Wu +1
This paper establishes tahe existence and uniqueness of the nonlinear Knudsen layer equation with incoming boundary conditions. It is well-known that the solvability conditions of…