2 papers
math.AP2025
Three-phase Muskat problem: uniform lifespan with respect to the width of the strip between interfaces
Ãngel Castro, Liangchen Zou
We consider the three-phase Muskat problem with different densities and the same viscosities. The lifespan of the solutions with respect to the width of the strip between interface…
math.AP2025
Global well-posedness for dissipative IPM with data close to a class of special solutions
Liangchen Zou
In this paper, we consider the 2-D dissipative incompressible porous media (IPM) equation in both supercritical and subcritical cases. The dissipative IPM equation admits a class o…