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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.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…