12 citations · 19 across the 4 of their papers we have counts for
6 papers
Universal wrinkling of supported elastic rings
Benjamin Foster, Nicolás Verschueren, Edgar Knobloch +1
An exactly solvable family of models describing the wrinkling of substrate-supported inextensible elastic rings under compression is identified. The resulting wrinkle profiles are…
Localized and extended patterns in the cubic-quintic Swift-Hohenberg equation on a disk
Nicolas Verschueren, Edgar Knobloch, Hannes Uecker
Axisymmetric and nonaxisymmetric patterns in the cubic-quintic Swift-Hohenberg equation posed on a disk with Neumann boundary conditions are studied via numerical continuation and…
Pressure-driven wrinkling of soft inner-lined tubes
Benjamin Foster, Nicolás Verschueren, Edgar Knobloch +1
Wrinkling of an inextensible elastic lining of an inner-lined tube under imposed pressure is considered. A simple equation modeling the elastic properties of the lining, the pressu…
Dissecting the snake: the transition from localized patterns to isolated spikes in pattern formation systems
Nicolas Verschueren, Alan Champneys
An investigation is undertaken of coupled reaction-diffusion systems in one spatial dimension that are able to support, in different regions of their parameter space, either an iso…
Tropical Tree Cover in a Heterogeneous Environment: a Reaction-diffusion Model
Bert Wuyts, Alan R. Champneys, Nicolas Verschueren +1
Observed bimodal tree cover distributions at particular environmental conditions and theoretical models indicate that some areas in the tropics can be in either of the alternative…
Effects of source and loss terms on the wave-pinning description of cell polarisation
Nicolas Verschueren, Alan Champneys
A system of two Schnakenberg-like reaction-diffusion equations is investigated analytically and numerically. The system has previously been used as a minimal model for concentratio…