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20242026
most citedWell-posedness of a bulk-surface convective Cahn--Hilliard system with dynamic boundary conditions

8 citations · 13 across the 8 of their papers we have counts for

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math.AP2026

On a bulk-surface Navier-Stokes-Cahn-Hilliard model: Existence of weak solutions and asymptotic limits

Jonas Stange

We study a thermodynamically consistent bulk-surface Navier--Stokes--Cahn--Hilliard system describing two-phase flows exhibiting moving contact lines, variable contact angles, and…

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.AP2025

Global well-posedness of strong solutions to a bulk-surface Navier-Stokes-Cahn-Hilliard model with non-degenerate mobilities in two dimensions

Jonas Stange

We examine a thermodynamically consistent diffuse interface model for bulk-surface viscous fluid mixtures. This model consists of a Navier--Stokes--Cahn--Hilliard model in the bulk…

math.AP2025

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…

math.AP2025★ 1 cited

Well-posedness and long-time behavior of a bulk-surface Cahn--Hilliard model with non-degenerate mobility

Jonas Stange

We study a bulk-surface Cahn--Hilliard model with non-degenerate mobility and singular potentials in two dimensions. Following the ideas of the recent work by Conti, Galimberti, Ga…

math.AP2025

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…

math.AP2024★ 4 cited

Strong well-posedness and separation properties for a bulk-surface convective Cahn--Hilliard system with singular potentials

Patrik Knopf, Jonas Stange

This paper addresses the well-posedness of a general class of bulk-surface convective Cahn--Hilliard systems with singular potentials. For this model, we first prove the existence…

math.AP2024★ 8 cited

Well-posedness of a bulk-surface convective Cahn--Hilliard system with dynamic boundary conditions

Patrik Knopf, Jonas Stange

We consider a general class of bulk-surface convective Cahn--Hilliard systems with dynamic boundary conditions. In contrast to classical Neumann boundary conditions, the dynamic bo…