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math.AP2026
Stability of Equilibria in a Biofilm Reactor Model with Wall Attachment and Thermodynamic Growth Inhibition
Katerina Nik, Christoph Walker
The dynamics of a mathematical model for a chemostat-type reactor is investigated. The model describes the temporal evolution of suspended and wall-attached bacterial populations,…
math.AP2026
Analysis of a Biofilm Model in a Continuously Stirred Tank Reactor with Wall Attachment
Katerina Nik, Christoph Walker
We investigate a mathematical model for a bacterial population in a continuously stirred tank reactor with wall attachment. The model couples a free-boundary value problem for subs…
math.AP2026
Linearized Stability of Non-Isolated Equilibria of Quasilinear Parabolic Problems in Interpolation Spaces
Bogdan-Vasile Matioc, Christoph Walker
The stability of non-isolated equilibria to quasilinear parabolic problems of the form is established in interpolation spaces (and thus extending previous resul…