3 papers
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
Lattice Approximations to NLS
Zhimeng Ouyang
In this paper, we prove that solutions of the discrete NLS lattice model for initial data with double frequency components converge to solutions of a coupled system of cubic…
math.AP2024
The Local-well-posedness of the relativistic Vlasov-Maxwell-Landau system with the specular reflection boundary condition
Hongjie Dong, Yan Guo, Zhimeng Ouyang +1
We prove the local-in-time well-posedness of the relativistic Vlasov-Maxwell-Landau system in a bounded domain with the specular reflection condition. Our result covers the ca…