29 citations · 51 across the 5 of their papers we have counts for
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math.AP2016★ 22 cited
Asymptotic Analysis of Transport Equation in Annulus
Lei Wu, Xiongfeng Yang, Yan Guo
We consider the diffusive limit of a steady neutron transport equation with one-speed velocity in a two-dimensional annulus. A classical theorem states that the solution can be app…
math.AP2016
Existence and BV-regularity for Neutron transport equation in non-convex domain
Yan Guo, Xiongfeng Yang
This paper considers the neutron transport equation in bounded domain with a combination of the diffusive boundary condition and the in-flow boundary condition. We firstly study th…
math.AP2016★ 29 cited
The initial boundary value problem for the Boltzmann equation with soft potential
Shuangqian Liu, Xiongfeng Yang
Boundary effects are central to the dynamics of the dilute particles governed by Boltzmann equation. In this paper, we study both the diffuse reflection and the specular reflection…