4 citations · 4 across the 8 of their papers we have counts for
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Curvature-driven pattern formation in biomembranes: A gradient flow approach
Patrik Knopf, Anastasija Pešić, Dennis Trautwein
In this work, we study a phase-field model for curvature-driven pattern formation in biomembranes. The model is derived as a gradient flow of an energy functional that approximates…
A thermodynamically consistent model for bulk-surface viscous fluid mixtures: Model derivation and mathematical analysis
Patrik Knopf, Jonas Stange
We derive and analyze a new diffuse interface model for incompressible, viscous fluid mixtures with bulk-surface interaction. Our system consists of a Navier--Stokes--Cahn--Hilliar…
A Thermodynamically Consistent Free Boundary Model for Two-Phase Flows in an Evolving Domain with Bulk-Surface Interaction
Patrik Knopf, Yadong Liu
We derive a thermodynamically consistent model, which describes the time evolution of a two-phase flow in an evolving domain. The movement of the free boundary of the domain is dri…
Regularity of a bulk-surface Cahn-Hilliard model driven by Leray velocity fields
Andrea Giorgini, Patrik Knopf, Jonas Stange
We consider a convective bulk-surface Cahn--Hilliard system with dynamic boundary conditions and singular potentials. For this model, well-posedness results concerning weak and str…