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.AP2024
Optimal rigidity estimates for maps of a compact Riemannian manifold to itself
Sergio Conti, Georg Dolzmann, Stefan Müller
Let be a smooth, compact, connected, oriented Riemannian manifold, and let be an isometric embedding. We show that a Sobolev map which…