3 papers
math.AP2025
Crossover from ballistic transport to normal diffusion: a kinetic view
Zhe Xue, Weiran Sun, Zhennan Zhou +1
The crossover between dispersion patterns has been frequently observed in various systems. Inspired by the pathway-based kinetic model for E. coli chemotaxis that accounts for the…
math.AP2024
Nonsymmetric traveling wave solution to a Hele-Shaw type tumor growth model
Yu Feng, Qingyou He, Jian-Guo Liu +1
We consider a Hele-Shaw model that describes tumor growth subject to nutrient supply. The model is derived by taking the incompressible limit of porous medium type equations, and t…
math.AP2023
Transition behavior of the waiting time distribution in a jumping model with the internal state
Zhe Xue, Yuan Zhang, Zhennan Zhou +1
It has been noticed that when the waiting time distribution exhibits a transition from an intermediate time power law decay to a long-time exponential decay in the continuous time…