125 citations · 630 across the 38 of their papers we have counts for
5 papers · 2 filters
Renormalized Energy for Dislocations in Quasi-Crystals
Lei Wu
Anti-plane shear deformations of a hexagonal quasi-crystal with multiple screw dislocations are considered. Using a variational formulation, the elastic equilibrium is characterize…
Regularity of Milne Problem with Geometric Correction in 3D
Yan Guo, Lei Wu
Consider the Milne problem with geometric correction in a 3D convex domain. Via bootstrapping arguments, we establish regularity for its solutions. Combined with a u…
The Nonrelativistic Limit of Relativistic Vlasov-Maxwell System
Jack Schaeffer, Lei Wu
We consider the one and one-half dimensional multi-species relativistic Vlasov-Maxwell system with non-decaying(in space) initial data. We prove its well-posedness and nonrelativis…
Geometric Correction in Diffusive Limit of Neutron Transport Equation in 2D Convex Domains
Yan Guo, Lei Wu
Consider the steady neutron transport equation with diffusive boundary condition. In [Wu and Guo(2015) Comm. Math. Phys.] and [Wu and Yang and Guo(2016) Preprint], it was discovere…
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…