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math.AP2024
Existence and uniqueness of solution to a hyperbolic-parabolic free boundary problem for biofilm growth
Dieudonné Zirhumanana Balike, Luigi Frunzo, Maria Rosaria Mattei +1
This work presents the existence and uniqueness of solution to a free boundary value problem related to biofilm growth. The problem consists of a system of nonlinear hyperbolic par…
math.AP2024
Stability analysis of hyperbolic-parabolic free boundary problems modelling biofilms
Dieudonné Zirhumanana Balike, Maria Rosaria Mattei, Luigi Frunzo
We present the stability analysis of two free boundary problems arising in biofilm modelling. The first, introduced in the 1980s by Wanner and Gujer, is related to the competition…