27 citations · 195 across the 25 of their papers we have counts for
4 papers · 1 filter
The radiative transfer equation in the forward-peaked regime
Ricardo Alonso, Weiran Sun
In this work we study the radiative transfer equation in the forward-peaked regime in free space. Specifically, it is shown that the equation is well-posed by proving instantaneous…
First-order aggregation models and zero inertia limits
Razvan Fetecau, Weiran Sun
We consider a first-order aggregation model in both discrete and continuum formulations and show rigorously how it can be obtained as zero inertia limits of second-order models. In…
Diffusion approximations and domain decomposition method of linear transport equations: asymptotics and numerics
Qin Li, Jianfeng Lu, Weiran Sun
In this paper we construct numerical schemes to approximate linear transport equations with slab geometry by diffusion equations. We treat both the case of pure diffusive scaling a…
A convergent method for linear half-space kinetic equations
Qin Li, Jianfeng Lu, Weiran Sun
We give a unified proof for the well-posedness of a class of linear half-space equations with general incoming data and construct a Galerkin method to numerically resolve this type…