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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
Long-time dynamics of a bulk-surface convective Cahn--Hilliard system: Pullback attractors and convergence to equilibrium
Patrik Knopf, Andrea Poiatti, Jonas Stange +1
We study the long-time dynamics of a bulk-surface convective Cahn--Hilliard system describing phase separation processes with bulk-surface interaction. The presence of convection t…
math.AP2026
Nonlocal-to-local -convergence of convolution operators with singular, anisotropic kernels
Helmut Abels, Christoph Hurm, Patrik Knopf
We study nonlocal convolution-type operators with singular, possibly anisotropic kernels. Our main objective is to establish and quantify their nonlocal-to-local convergence to a l…