7 citations · 10 across the 5 of their papers we have counts for
4 papers · 1 filter
Small deformations of a near cylindrical tube for the Canham-Helfrich Energy with applications to biological membranes
Charles M. Elliott, Carsten Gräser, Philip J. Herbert
In this article we develop a quadratic energy which approximates the Canham-Helfrich energy for a tube-like surface with clamped boundary and area constraint. The energy is suited…
An evolving space framework for Oseen equations on a moving domain
Ana Djurdjevac, Carsten Gräser, Philip J. Herbert
This article considers non-stationary incompressible linear fluid equations in a moving domain. We demonstrate the existence and uniqueness of an appropriate weak formulation of th…
On differentiability of the membrane-mediated mechanical interaction energy of discrete-continuum membrane-particle models
Tobias Kies, Carsten Gräser
We consider a discrete-continuum model of a biomembrane with embedded particles. While the membrane is represented by a continuous surface, embedded particles are described by rigi…
A note on Poincaré- and Friedrichs-type inequalities
Carsten Gräser
We introduce a simple criterion to check coercivity of bilinear forms on subspaces of Hilbert-spaces and Banach-spaces. The presented criterion allows to derive many standard and n…