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20242026
most citedOn the Cahn-Hilliard equation with kinetic rate dependent dynamic boundary condition and non-smooth potential: separation property and long-time behavior

2 citations · 5 across the 11 of their papers we have counts for

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math.AP2026

Global Quasi-strong Solutions to the Voigt Regularization of a Diffuse Interface Model for Incompressible Two-phase Flows with Bulk-surface Interaction

Patrik Knopf, Maoyin Lv, Hao Wu

We analyze a thermodynamically consistent diffuse interface model for incompressible two-phase viscous flows with unmatched densities in a smooth bounded domain $Ω\subset\mathbb{R}…

math.AP2026

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…

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

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…

math.AP2025

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…

math.AP2024

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…

math.AP2024★ 1 cited

Separation property and asymptotic behavior for a transmission problem of the bulk-surface coupled Cahn-Hilliard system with singular potentials and its Robin approximation

Maoyin Lv, Hao Wu

We consider a class of bulk-surface coupled Cahn-Hilliard systems in a smooth, bounded domain , where the trace value of the bulk phase vari…

math.AP2024★ 2 cited

On the Cahn-Hilliard equation with kinetic rate dependent dynamic boundary condition and non-smooth potential: separation property and long-time behavior

Maoyin Lv, Hao Wu

We consider a class of Cahn-Hilliard equation that characterizes phase separation phenomena of binary mixtures in a bounded domain with non…

math.AP2024★ 1 cited

On the Cahn-Hilliard equation with kinetic rate dependent dynamic boundary conditions and non-smooth potentials: Well-posedness and asymptotic limits

Maoyin Lv, Hao Wu

We consider a class of Cahn-Hilliard equation with kinetic rate dependent dynamic boundary conditions that describe possible short-range interactions between the binary mixture and…