2 papers
math.AP2025
Chemotaxis-consumption interaction: Solvability and asymptotics in general high-dimensional domains
Johannes Lankeit, Michael Winkler
The basic chemotaxis-consumption model \[ u_t = Îu - \nabla \cdot(u\nabla v),\qquad\qquad v_t = Îv - uv \] is considered in general, possibly non-convex bounded domains of arbitr…
math.AP2024
A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions
Leander Claes, Johannes Lankeit, Michael Winkler
A model for the generation of heat due to mechanical losses during acoustic wave propagation in a solid is considered in a Kelvin-Voigt type framework. In contrast to previous stud…