2 citations · 2 across the 4 of their papers we have counts for
4 papers
Breathing and moving vesicles in a geometric mechanochemical model
Alexander Meiners, Hannes Uecker
We consider a geometric mechanochemical model of vesicles which couples the Helfrich flow for the shape of a lipid bilayer vesicle membrane with a reaction-diffusion equations…
Helfrich cylinders -- instabilities, bifurcations and amplitude equations
Alexander Meiners, Hannes Uecker
Combining local bifurcation analysis with numerical continuation and bifurcation methods we study bifurcations from cylindrical vesicles described by the Helfrich equation with vol…
Differential geometric bifurcation problems in pde2path -- algorithms and tutorial examples
Alexander Meiners, Hannes Uecker
We describe how some differential geometric bifurcation problems can be treated with the MATLAB continuation and bifurcation toolbox pde2path. The basic setup consists in solving t…
Spectral zeta function on discrete tori and Epstein-Riemann conjecture
Alexander Meiners, Boris Vertman
We consider the combinatorial Laplacian on a sequence of discrete tori which approximate the m-dimensional torus. In the special case m=1, Friedli and Karlsson derived an asymptoti…