3 papers
math.AP2020
Local Well-Posedness of a Quasi-Incompressible Two-Phase Flow
Helmut Abels, Josef Weber
We show well-posedness of a diffuse interface model for a two-phase flow of two viscous incompressible fluids with different densities locally in time. The model leads to an inhomo…
math.AP2017
Existence of Weak Solutions for a Diffuse Interface Model for Two-Phase Flow with Surfactants
Helmut Abels, Harald Garcke, Josef Weber
Two-phase flow of two Newtonian incompressible viscous fluids with a soluble surfactant and different densities of the fluids can be modeled within the diffuse interface approach.…
physics.flu-dyn2016
Two-phase flow with surfactants: Diffuse interface models and their analysis
Helmut Abels, Harald Garcke, Kei Fong Lam +1
New diffuse interface and sharp interface models for soluble and insoluble surfactants fulfilling energy inequalities are introduced. We discuss their relation with the help of asy…