2 papers
math.AP2026
-Regularity of the Free Boundary for Hele-Shaw Flow with Source and Drift
Yuming Paul Zhang
This paper is a continuation of the work in \cite{kimzhang2024} concerning Hele-Shaw flow with both drift and source terms. We prove that, in a local neighborhood, if the free boun…
math.AP2024
Convergence of Free Boundaries in the Incompressible Limit of Tumor Growth Models
Jiajun Tong, Yuming Paul Zhang
We investigate the general Porous Medium Equations with drift and source terms that model tumor growth. Incompressible limit of such models has been well-studied in the literature,…