89 citations · 419 across the 60 of their papers we have counts for
72 papers
Local Well-posedness of a Diffuse Interface Two-phase Flow Model with Surfactants
Helmut Abels, Songzhuang Chen
We establish the local well-posedness of strong solutions for a thermodynamically consistent diffuse interface model describing two-phase flows with surfactants, specifically the s…
On a visco-elastic Mullins-Sekerka System
Helmut Abels, Harald Garcke, Jonas Haselböck
We introduce a novel visco-elastic Mullins-Sekerka system with a prescribed constant contact angle at the boundary. The system is derived as an --type gradient flow of…
Local Well-Posedness for a Diffuse Interface Model for Two-Phase Flows from Mixture Theory
Helmut Abels, Harald Garcke, Julia Wittmann
Local-in-time well-posedness is established for a recently proposed diffuse interface model describing incompressible two-phase flows. The result constitutes the first analytical s…
Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities
Helmut Abels, Andrea Poiatti
In this paper we consider the flow of two incompressible, viscous and immiscible fluids in a bounded domain, with different densities and viscosities. This model consists of a coup…
Diffuse Interface Models for Two-Phase Flows with Phase Transition: Modeling and Existence of Weak Solutions
Helmut Abels, Harald Garcke, Julia Wittmann
The flow of two macroscopically immiscible, viscous, incompressible fluids with unmatched densities is studied, where a transfer of mass between the constituents by phase transitio…
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…