12 papers · 1 filter
Smooth expanding planar simple waves for Euler--Poisson--Boltzmann: uniform stability and quasineutral expansion
Louis Shuo Wang, Jiguang Yu
We study the warm-ion Euler--Poisson system with Maxwell--Boltzmann electrons on the cylinder $\R\times\T$ in the quasineutral regime. Taking a smooth expanding planar simple wave…
Rigorous Analysis of a Nonlocal Transport--Renewal System for Physiologically Structured Populations
Jiguang Yu, Louis Shuo Wang, Ye Liang
We develop a rigorous analytical framework for a class of physiologically structured population models with two internal state variables, nonlocal ecological feedbacks, dynamic res…
Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability
Zonghao Liu, Jiguang Yu, Lei Su +3
We develop a reaction--diffusion--chemotaxis model for spatial tumour--immune--chemokine dynamics that couples logistic tumour growth, immune-mediated killing, chemokine-dependent…
A transport-only null model for apparent heterogeneity in diffusively dosed organoid arrays
Jiguang Yu, Louis Shuo Wang
Spatial transport can create apparent biological heterogeneity even when organoids are intrinsically identical. We develop a transport-to-phenotype null model for diffusively dosed…
Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux
Louis Shuo Wang, Jiguang Yu
We study a nonlinear size-structured transport model with distributed harvesting and prescribed recruitment flux, where environmental feedback is determined by a scalar population…
Endogenous Feedback in Size-Structured Transport Equations
Jiguang Yu, Louis Shuo Wang
We study a nonlinear size-structured transport equation where the endogenous scalar output feeds back into velocity and mortality. This princi…
Vital-Rate Feedback and Threshold Harvesting in Size-Structured Populations
Louis Shuo Wang
Size-selective harvesting is often justified by the intuition that larger individuals have higher value and should therefore be harvested above a critical size. We study a controll…
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-…
Time and Killed Resolvents in Reflected Optimal Stopping with a Max Payoff
Louis Shuo Wang, Ye Liang
We study infinite-horizon optimal stopping for normally reflected two-dimensional diffusions in the positive quadrant with max payoff \(G(x_1,x_2)=x_1\veeαx_2\). The non-smooth pay…
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…
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…
Chemotactic Feedback Controls Patterning in Hybrid Tumor--Stroma Model
Jiguang Yu, Louis Shuo Wang, Zonghao Liu +1
Motivated by an ongoing collaboration with clinical oncologists and pathologists, we develop a hybrid partial differential equation--ordinary differential equation (PDE--ODE) frame…