20 citations · 59 across the 8 of their papers we have counts for
10 papers
Local Well-Posedness for Relaxational Fluid Vesicle Dynamics
Matthias Köhne, Daniel Lengeler
We prove the local well-posedness of a basic model for relaxational fluid vesicle dynamics by a contraction mapping argument. Our approach is based on the maximal -regularity…
Asymptotic stability of local Helfrich minimizers
Daniel Lengeler
We show that local minimizers of the Canham-Helfrich energy are asymptotically stable with respect to a model for relaxational fluid vesicle dynamics that we already studied in pre…
On a Stokes-type system arising in fluid vesicle dynamics
Daniel Lengeler
This article is the first in a series of papers on the analysis of a basic model for fluid vesicle dynamics. There are two variants of this model, a parabolic one decribing purely…
On Sharp Interface Limits for Diffuse Interface Models for Two-Phase Flows
Helmut Abels, Daniel Lengeler
We discuss the sharp interface limit of a diffuse interface model for a two-phase flow of two partly miscible viscous Newtonian fluids of different densities, when a certain parame…
Global weak solutions for an incompressible, generalized Newtonian fluid interacting with a linearly elastic Koiter shell
Daniel Lengeler
In this paper we analyze the interaction of an incompressible, generalized Newtonian fluid with a linearly elastic Koiter shell whose motion is restricted to transverse displacemen…
Global weak solutions for an incompressible Newtonian fluid interacting with a linearly elastic Koiter shell
Daniel Lengeler, Michael Ruzicka
In this paper we analyze the interaction of an incompressible Newtonian fluid with a linearly elastic Koiter shell whose motion is restricted to transverse displacements. The middl…