2 papers
math.AP2026
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…
math.AP2025
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…