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math.AP2026

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability

Harald Garcke, Maoyin Lv, Hao Wu

We consider the initial-boundary value problem of a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities in a bounded do…

math.AP2026

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

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 var…

math.AP2024

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 no…