3 papers
math.AP2026
Kinetic Wedge Layers and Diffusive Limit of Neutron Transport in Polygonal Domains
Zhimeng Ouyang, Lei Wu
We study the diffusive limit of the steady neutron transport equation with velocity-dependent in-flow boundary data in polygonal domains. On a bounded convex polygon, we construct…
math.AP2026
Dynamics of Chemotactic Gliding-Aggregation in Myxobacteria on Bounded Domains: Stochastic Modeling, Analysis, and Deep Neural Network Simulations
Fugui Ma, Zhimeng Ouyang, Wenyi Tian +1
Bacterial chemotactic movement and collective aggregation have long attracted substantial interest in mathematical biology and applied modeling. Classical Keller--Segel-type system…
math.AP2024
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…