2 papers
math.AP2025
Global weak solvability for doubly degenerate nutrient taxis system in physical dimension
Bao-Ngoc Tran, Juan Yang
Motivated by the study of bacteria's response to environmental conditions, we consider the doubly degenerate nutrient taxis system \begin{align*} \begin{cases} u_t=\nabla\cdot(uv\n…
math.AP2025
Rigorous fast signal diffusion limit and convergence rates with the initial layer effect in a competitive chemotaxis system
Cordula Reisch, Bao-Ngoc Tran, Juan Yang
We study a chemotaxis system that includes two competitive prey and one predator species in a two-dimensional domain, where the movement of prey (resp. predators) is driven by chem…