5 papers · 1 filter
Global weak solutions to a diffuse-interface model for quasi-incompressible two-phase flows with unmatched densities and singular potential
Mingwen Fei, Xiang Fei, Yadong Liu +1
We study a thermodynamically consistent diffuse-interface model that describes the motion of two macroscopically immiscible, incompressible, and viscous Newtonian fluids with unmat…
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-…
Optimal Control of a Navier-Stokes-Cahn-Hilliard System for Membrane-fluid Interaction
Andrea Signori, Hao Wu
We consider an optimal control problem for a two-dimensional Navier-Stokes-Cahn-Hilliard system arising in the modeling of fluid-membrane interaction. The fluid dynamics is governe…
Long-time behavior of a nonlocal Cahn-Hilliard equation with nonlocal dynamic boundary condition and singular potentials
Maoyin Lv, Hao Wu
We investigate the long-time behavior of a nonlocal Cahn-Hilliard equation in a bounded domain , subject to a kinetic rate-dependent nonlocal…
On the nonlocal Cahn-Hilliard equation with nonlocal dynamic boundary condition and singular potential: well-posedness, regularity and asymptotic limits
Maoyin Lv, Hao Wu
We consider a class of nonlocal Cahn-Hilliard equations in a bounded domain , subject to a nonlocal kinetic rate dependent dynamic boundary…