5 papers
Large-time asymptotics for general cross-diffusion systems and novel convex Sobolev inequalities
Noah Geltner, Ansgar Jüngel
The exponential decay of weak solutions towards the constant steady state of general cross-diffusion systems in bounded domains with no-flux boundary conditions is investigated. Th…
Improved weak-strong uniqueness for general cross-diffusion systems
Noah Geltner, Maria Heitzinger, Ansgar Jüngel
The weak-strong uniqueness of bounded solutions is established for a broad class of cross-diffusion systems, with or without volume-filling effects, and with or without full coerci…
Analysis of a multispecies cross-diffusion Keller-Segel system with volume filling
Noah Geltner, Ansgar Jüngel, Mingyue Zhang
A chemotaxis-driven multiphase multispecies diffusion system, arising in the formation of vascular-like structures, is analyzed. The model couples porous-medium-type cross-diffusio…
Well-posedness and asymptotic limits for a degenerate Keller-Segel system with volume filling
Noah Geltner, Ansgar Jüngel, Mingyue Zhang
A class of parabolic-parabolic Keller-Segel systems with degenerate diffusion and volume filling is studied in a bounded domain subject to no-flux boundary conditions. The equation…
Chemotaxis guidance of random walkers modeling self-wiring of neural networks
Noah Geltner, Ansgar Jüngel
A stochastic walker model is proposed to describe the chemotactic guidance of growth cones, i.e. the tips of developing neurites. The model accounts for the influence of both attra…