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math.AP2024
On a diffuse interface model for diblock copolymers interacting with an electric field
Helmut Abels, Andrea Di Primio, Harald Garcke
We consider a diffuse interface model describing a ternary system constituted by a conductive diblock copolymer and a homopolymer acting as solvent. The resulting dynamics is model…
math.AP2024
Diffuse Interface Model for Two-Phase Flows on Evolving Surfaces with Different Densities: Global Well-Posedness
Helmut Abels, Harald Garcke, Andrea Poiatti
We show existence and uniqueness of strong solutions to a Navier-Stokes/Cahn-Hilliard type system on a given two-dimensional evolving surface in the case of different densities and…
math.AP2024
Diffuse Interface Model for Two-Phase Flows on Evolving Surfaces with Different Densities: Local Well-Posedness
Helmut Abels, Harald Garcke, Andrea Poiatti
A Cahn-Hilliard-Navier-Stokes system for two-phase flow on an evolving surface with non-matched densities is derived using methods from rational thermodynamics. For a Cahn-Hilliard…