3 papers
math.AP2026
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…
nlin.PS2026
Localized spatiotemporal reaction-diffusion patterns on a line and a disk arising from a subcritical finite wavenumber Hopf instability
Edgar Knobloch, Saar O. Modai, Hannes Uecker +1
Spatiotemporal localized and extended structures associated with a subcritical finite wavenumber Hopf bifurcation are studied in the Purwins model (a three-variable FitzHugh-Nagumo…
math.AP2025
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…