3 papers
math.AP2026
A mathematical model for colloids deposition in porous media combined with a moving boundary at the microscale: Solvability and numerical simulation
Christos Nikolopoulos, Michael Eden, Adrian Muntean
We study a reaction-diffusion model posed on two distinct spatial scales that accounts for diffusion, aggregation, fragmentation, and deposition of populations of colloidal particl…
math.AP2026
Long-time behaviour of a nonlocal stochastic fractional reaction--diffusion equation arising in tumour dynamics
Nikos I. Kavallaris, Subramani Sankar, Manil T. Mohan +2
We introduce a stochastic nonlocal reaction--diffusion model arising in tumour dynamics. Spatial dispersal is described by the fractional Laplacian, accounting for anomalous diffus…
math.PR2025
Quenching time and probability estimates for a stochastic reaction-diffusion system with coupled inner singular absorption terms driven by mixed noises
Nikos I. Kavallaris, Christos V. Nikolopoulos, Subramani Sankar
This paper investigates a stochastic parabolic system under Robin boundary conditions, for which the deterministic counterpart exhibits finite quenching. The stochastic system inco…