3 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.AP2023
Well-posedness and qualitative properties of quasilinear degenerate evolution systems
Koondanibha Mitra, Stefanie Sonner
We analyze nonlinear degenerate coupled PDE-PDE and PDE-ODE systems that arise, for example, in the modelling of biofilm growth. One of the equations, describing the evolution of a…
math.AP2014
Hardy Type Inequalities for -Laplacians
A. E. Kogoj, S. Sonner
We derive Hardy type inequalities for a large class of sub-elliptic operators that belong to the class of -Laplacians and find explicit values for the constants involved. Our…