28 citations · 109 across the 32 of their papers we have counts for
34 papers
Sharp regularization effect for the non-cutoff Boltzmann equation with hard potentials
Jun-Ling Chen, Wei-Xi Li, Chao-Jiang Xu
For the Maxwellian molecules or hard potentials case, we verify the smoothing effect for the spatially inhomogeneous Boltzmann equation without angular cutoff. Given initial data w…
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…
Analytic smoothing effect of the spatially inhomogeneous Landau equations for hard potentials
Hongmei Cao, Wei-Xi Li, Chao-Jiang Xu
We study the spatially inhomogeneous Landau equations with hard potential in the perturbation setting, and establish the analytic smoothing effect in both spatial and velocity vari…
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…
Gevrey well-posedness of the hyperbolic Prandtl equations
Wei-Xi Li, Rui Xu
We study the 2D and 3D Prandtl equations of degenerate hyperbolic type, and establish without any structural assumption the Gevrey well-posedness with Gevrey index . Compar…
Well-posedness in Sobolev spaces of the two-dimensional MHD Boundary layer equations without viscosity
Wei-Xi Li, Rui Xu
We consider the two-dimensional MHD Boundary layer system without hydrodynamic viscosity, and establish the existence and uniqueness of solutions in Sobolev spaces under the assump…