138 citations · 518 across the 49 of their papers we have counts for
59 papers
Existence, uniqueness, and long-time asymptotic behavior of regular solutions in multidimensional thermoelasticity
Piotr Michał Bies, Tomasz Cieślak, Mario Fuest +3
We study a simplified nonlinear thermoelasticity model on two- and three-dimensional tori. A novel functional involving the Fisher information associated with temperature is introd…
Chemotaxis-consumption interaction: Solvability and asymptotics in general high-dimensional domains
Johannes Lankeit, Michael Winkler
The basic chemotaxis-consumption model \[ u_t = Δu - \nabla \cdot(u\nabla v),\qquad\qquad v_t = Δv - uv \] is considered in general, possibly non-convex bounded domains of arbitrar…
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…
Global solvability of a model for tuberculosis granuloma formation
Mario Fuest, Johannes Lankeit, Masaaki Mizukami
We discuss a nonlinear system of partial differential equations modelling the formation of granuloma during tuberculosis infections and prove the global solvability of the homogene…
Asymptotics of a chemotaxis-consumption-growth model with nonzero Dirichlet conditions
Piotr Knosalla, Johannes Lankeit
This paper concerns the asymptotics of certain parabolic-elliptic chemotaxis-consumption systems with logistic growth and constant concentration of chemoattractant on the boundary.…
Stationary states of a chemotaxis consumption system with singular sensitivity and inhomogeneous boundary conditions
Jaewook Ahn, Johannes Lankeit
For given total mass we show unique solvability of the stationary chemotaxis-consumption model \[ \begin{cases} 0= Δu - χ\nabla \cdot (\frac{u}{v} \nabla v) \\ 0= Δv - uv \\…