9 citations · 25 across the 21 of their papers we have counts for
6 papers · 1 filter
The modified Korteweg--de Vries limit of the Ablowitz--Ladik system
Rowan Killip, Zhimeng Ouyang, Monica Visan +1
For slowly-varying initial data, solutions to the Ablowitz-Ladik system have been proven to converge to solutions of the cubic Schrödinger equation. In this paper we show that in t…
Diffusive Limit of the Boltzmann Equation in Bounded Domains
Zhimeng Ouyang, Lei Wu
The rigorous justification of the hydrodynamic limits of kinetic equations in bounded domains has been actively investigated in recent years. In spite of the progress for the diffu…
Diffusive Expansion For Neutron Transport Equation
Yan Guo, Lei Wu
Grazing set singularity leads to a surprising counter-example and breakdown of the classical mathematical theory for diffusive expansion of neutron transport equation…
Hilbert Expansion for the Relativistic Landau Equation
Zhimeng Ouyang, Lei Wu, Qinghua Xiao
In this paper, we study the local-in-time validity of the Hilbert expansion for the relativistic Landau equation. We justify that solutions of the relativistic Landau equation conv…
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…