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.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…
math.AP2021
Variational models for the interaction of surfactants with curvature -- existence and regularity of minimizers in the case of flexible curves
Christopher Brand, Georg Dolzmann, Alessandra Pluda
Existence and regularity of minimizers for a geometric variational problem is shown. The variational integral models an energy contribution of the interface between two immiscible…