2 papers
math.NA2024
Robust time-discretisation and linearisation schemes for singular and degenerate evolution systems modelling biofilm growth
R. K. H. Smeets, K. Mitra, I. S. Pop +1
We propose and analyse numerical schemes for a system of quasilinear, degenerate evolution equations modelling biofilm growth as well as other processes such as flow through porous…
math.AP2024
Rigorous derivation of an effective model for coupled Stokes advection, reaction and diffusion with freely evolving microstructure
Markus Gahn, Malte A. Peter, Iuliu Sorin Pop +1
We consider the homogenisation of a coupled Stokes flow and advection-reaction-diffusion problem in a perforated domain with an evolving microstructure of size . React…