127 citations · 678 across the 64 of their papers we have counts for
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Well-posedness of the MHD boundary layer system in Gevrey function space without Structural Assumption
Wei-Xi Li, Tong Yang
We establish the well-posedness of the MHD boundary layer system in Gevrey function space without any structural assumption. Compared to the classical Prandtl equation, the loss of…
A new stability and convergence proof of the Fourier-Galerkin spectral method for the spatially homogeneous Boltzmann equation
Jingwei Hu, Kunlun Qi, Tong Yang
Numerical approximation of the Boltzmann equation is a challenging problem due to its high-dimensional, nonlocal, and nonlinear collision integral. Over the past decade, the Fourie…
Diffusion Limit of the Vlasov-Poisson-Boltzmann System
Hai-Liang Li, Tong Yang, Mingying Zhong
In the present paper, we study the diffusion limit of the classical solution to the unipolar Vlasov-Poisson-Boltzmann (VPB) system with initial data near a global Maxwellian. We pr…
Magnetic effects on the solvability of 2D MHD boundary layer equations without resistivity in Sobolev spaces
Cheng-Jie Liu, Dehua Wang, Feng Xie +1
In this paper, we are concerned with the magnetic effect on the Sobolev solvability of boundary layer equations for the 2D incompressible MHD system without resistivity. The MHD bo…
Well-posedness in Gevrey function space for 3D Prandtl equations without Structural Assumption
Wei-Xi Li, Nader Masmoudi, Tong Yang
We establish the well-posedness in Gevrey function space with optimal class of regularity 2 for the three dimensional Prandtl system without any structural assumption. The proof co…