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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…