127 citations · 678 across the 64 of their papers we have counts for
6 papers · 1 filter
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…
Green's function and Pointwise Behavior of the One-Dimensional Vlasov-Maxwell-Boltzmann System
Hai-Liang Li, Tong Yang, Mingying Zhong
The pointwise space-time behavior of the Green's function of the one-dimensional Vlasov-Maxwell-Boltzmann (VMB) system is studied in this paper. It is shown that the Green's functi…
Heat transfer problem for the Boltzmann equation in a channel with diffusive boundary condition
Renjun Duan, Shuangqian Liu, Tong Yang +1
In this paper, we study the 1D steady Boltzmann flow in a channel. The walls of the channel are assumed to have vanishing velocity and given temperatures and . This prob…
3D hyperbolic Navier-Stokes equations in a thin strip: global well-posedness and hydrostatic limit in Gevrey space
Wei-Xi Li, Tong Yang
We consider the hyperbolic version of three-dimensional anisotropic Naver-Stokes equations in a thin strip and its hydrostatic limit that is a hyperbolic Prandtl type equations. We…
Linear instability analysis on compressible Navier-Stokes equations with strong boundary layer
Tong Yang, Zhu Zhang
It is a classical problem in fluid dynamics about the stability and instability of different hydrodynamic patterns in various physical settings, in particular in the high Reynolds…
Vector fields of Cancellation for the Prandtl Operators
Tong Yang
It has been a fascinating topic in the study of boundary layer theory about the well-posedness of Prandtl equation that was derived in 1904. Recently, new ideas about cancellation…