3 papers
math.AP2026
The Cahn--Hilliard--Darcy--Forchheimer system with surfactant: Existence and long-time behavior of global weak solutions
Maurizio Grasselli, Bohan Ouyang, Andrea Poiatti +1
We consider a diffuse-interface model for two-phase incompressible viscous flows with a soluble surfactant in a bounded porous medium. This hydrodynamic system consists of a Darcy-…
math.AP2025
Global Weak Solutions of a Thermodynamically Consistent Diffuse Interface Model for Nonhomogeneous Incompressible Two-phase Flows with a Soluble Surfactant
Bohan Ouyang, Maurizio Grasselli, Hao Wu
We study a thermodynamically consistent diffuse interface model that describes the motion of a two-phase flow of two viscous incompressible Newtonian fluids with unmatched densitie…
math.AP2024
Regularity and long-time behavior of global weak solutions to a coupled Cahn-Hilliard system: the off-critical case
Bohan Ouyang
We consider a diffuse interface model that describes the macro- and micro-phase separation processes of a polymer mixture. The resulting system consists of a Cahn-Hilliard equation…