Showing 2025Show all
2 papers · 1 filter
math.AP2025
Chemotaxis Models with Nonlinear/Porous Medium Diffusion, Consumption, and Logistic source on : I. Global Solvability and Boundedness
Zulaihat Hassan, Wenxian Shen, Yuming Paul Zhang
This series of papers is concerned with the global solvability, boundedness, regularity, and uniqueness of weak solutions to the following parabolic-parabolic chemotaxis system wit…
math.AP2025
A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization
Olga Turanova, Yuming Paul Zhang
We investigate a Hele-Shaw type free boundary problem in one spatial dimension, where heterogeneities appear both on the free boundary and within the interior of the positivity set…