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math.AP2023
The modelling error in multi-dimensional time-dependent solute transport models
Rami Masri, Marius Zeinhofer, Miroslav Kuchta +1
Starting from full-dimensional models of solute transport, we derive and analyze multi-dimensional models of time-dependent convection, diffusion, and exchange in and around pulsat…
math.AP2021★ 1 cited
Three Dimensional Optimization of Scaffold Porosities for Bone Tissue Engineering
Patrick Dondl, Marius Zeinhofer
We consider the scaffold design optimization problem associated to the three dimensional, time dependent model for scaffold mediated bone regeneration considered in Dondl et al. (2…
math.AP2021
Regularity for Reaction-Diffusion Equations with Non-smooth Data
Patrick Dondl, Marius Zeinhofer
We prove an regularity result for a reaction-diffusion equation with mixed boundary conditions, symmetric coefficients and an initial conditio…