chemotaxis 1cross-diffusion 1entropy methods 1global existence 1keller-segel model 1volume filling 1
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math.AP2026
Analysis of a multispecies cross-diffusion Keller-Segel system with volume filling
Noah Geltner, Ansgar Jüngel, Mingyue Zhang
The paper analyzes a chemotaxis-driven multispecies cross‑diffusion Keller‑Segel system with volume‑filling constraints, establishing global weak existence, weak‑strong uniqueness,…
math.AP2026
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…
math.AP2025
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…