2 papers
math.AP2026
Non-uniqueness of weak solutions to cross-diffusion systems with advection
José A. Carrillo, Ansgar Jüngel, Jakub Skrzeczkowski +1
A cross-diffusion system with advection is considered on the whole line, describing the dynamics of two segregating population species. Starting from two initial densities supporte…
math.AP2024
Suppression of chemotactic singularity by buoyancy
Zhongtian Hu, Alexander Kiselev, Yao Yao
Chemotactic singularity formation in the context of the Patlak-Keller-Segel equation is an extensively studied phenomenon. In recent years, it has been shown that the presence of f…