127 citations · 678 across the 64 of their papers we have counts for
63 papers · 1 filter
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…
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…
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…
Gevrey well-posedness of quasi-linear hyperbolic Prandtl equations
Wei-Xi Li, Tong Yang, Ping Zhang
We study the hyperbolic version of the Prandtl system derived from the hyperbolic Navier-Stokes system with no-slip boundary condition. Compared to the classical Prandtl system, th…
A new understanding of grazing limit
Tong Yang, Yu-Long Zhou
The grazing limit of the Boltzmann equation to Landau equation is well-known and has been justified by using cutoff near the grazing angle with some suitable scaling. In this paper…
Global Well-posedness of a Prandtl Model from MHD in Gevrey Function Spaces
Wei-Xi Li, Rui Xu, Tong Yang
We consider a Prandtl model derived from MHD in the Prandtl-Hartmann regime that has a damping term due to the effect of the Hartmann boundary layer. A global-in-time well-posednes…