Publications (30)
Beyond Diagonal Noise: A Better Predator-Prey Modeling Framework with Cross-Covariance
Jiguang Yu, Louis Shuo Wang
The introduction of stochasticity into continuous ecological models frequently relies on phenomenological, diagonal diffusion terms that lack a rigorous microscopic basis. We demon…
Mode-Wise Spectral Criteria for Coupled Mass Transport in Hybrid PDE--ODE Tumor Microenvironments
Jiguang Yu, Louis Shuo Wang, Zonghao Liu +1
We study coupled mass transport in a tumor--microenvironment setting with two motile densities and non-motile state switching . The populations diffuse and undergo c…
Random Walk on Bézier Curves for Global Optimization
Jinpeng Wang, Xingguo Xu, Yujing Sun +3
Balancing exploration and exploitation remains a central challenge in metaheuristic optimization. To address this issue, this paper proposes Bézier Walk Evolution (BWE), a geometr…
Spectral perturbation theory for wall-admittance effects on compressible boundary-layer instability
Jiguang Yu, Louis Shuo Wang, Ye Liang
Thin wall treatments modify high-speed boundary-layer instability through the pressure they admit or absorb at the wall. This paper develops a unified admittance formulation for su…
Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory
Jiguang Yu, Louis Shuo Wang
We investigate the structural and operator-theoretic foundations of indirect signal-generation mechanisms in Keller--Segel-type chemotaxis models. By analyzing a physically motivat…
A Measure-Valued Obstacle Problem for an Obliquely Reflected Diffusion with a Max-Type Payoff
Louis Shuo Wang, Jiguang Yu, Ye Liang
We study an obliquely reflected optimal stopping problem in the nonnegative quadrant with nonsmooth max-type payoff \(G(x)=x_1\veeαx_2\), and we develop a measure-valued potential…