3 papers
math.AP2020
On a linearized Mullins-Sekerka/Stokes system for two-phase flows
Helmut Abels, Andreas Marquardt
We study a linearized Mullins-Sekerka/Stokes system in a bounded domain with various boundary conditions. This system plays an important role to prove the convergence of a Stokes/C…
math.AP2020
Sharp Interface Limit of a Stokes/Cahn-Hilliard System, Part I: Convergence Result
Helmut Abels, Andreas Marquardt
We consider the sharp interface limit of a coupled Stokes/Cahn\textendash Hilliard system in a two dimensional, bounded and smooth domain, i.e., we consider the limiting behavior o…
math.AP2020
Sharp Interface Limit of a Stokes/Cahn-Hilliard System, Part II: Approximate Solutions
Helmut Abels, Andreas Marquardt
We construct rigorously suitable approximate solutions to the Stokes/Cahn-Hilliard system by using the method of matched asymptotics expansions. This is a main step in the proof of…