2 papers
math.AP2026
A heterogeneous nonlocal advection--diffusion system
Joseph McCusker, John Christopher Meyer, Mabel Lizzy Rajendran
We present a self-contained investigation on the local and global well-posedness for a system of nonlocal advection--diffusion equations for a heterogeneous population over $\mathb…
math.AP2025
Local well-posedness for a novel nonlocal model for cell-cell adhesion via receptor binding
Mabel Lizzy Rajendran, Anna Zhigun
Local well-posedness is established for a highly nonlocal nonlinear diffusion-adhesion system for bounded initial values with small support. Macroscopic systems of this kind were p…