3 papers
math.AP2026
Local Well-Posedness of a Model for Stress-Driven Growth in the Presence of Nutrients
Helmut Abels, Julian Blawid, Georg Dolzmann
A model for morphoelastic growth, that is, growth influenced by elastic stress, driven by the absorption of nutrients is considered. The model features a multiplicative decompositi…
math.AP2025
Regularity Properties of Solutions of a Model for Morphoelastic Growth in the Presence of Nutrients in One Spatial Dimension
Julian Blawid, Georg Dolzmann
Regularity properties of solutions for a class of quasi-stationary models in one spatial dimension for stress-modulated growth in the presence of a nutrient field are proven. At a…
math.AP2022
Stress-modulated growth in the presence of nutrients -- existence and uniqueness in one spatial dimension
Kira Bangert, Georg Dolzmann
Existence and uniqueness of solutions for a class of models for stress-modulated growth is proven in one spatial dimension. The model features the multiplicative decomposition of t…