4 papers
Analysis of mean-field approximation for Deffuant opinion dynamics on networks
Alina Dubovskaya, Susan C. Fennell, Kevin Burke +2
Mean-field equations have been developed recently to approximate the dynamics of the Deffuant model of opinion formation. These equations can describe both fully-mixed populations…
Dynamic buckling of elastic rings in a soap film
Finn Box, Ousmane Kodio, Doireann O'Kiely +3
Dynamic buckling may occur when a load is rapidly applied to, or removed from, an elastic object at rest. In contrast to its static counterpart, dynamic buckling offers a wide rang…
Impact on floating thin elastic sheets: A mathematical model
Doireann O'Kiely, Finn Box, Ousmane Kodio +2
We investigate impact of a sphere onto a floating elastic sheet and the resulting formation and evolution of wrinkles in the sheet. Following impact, we observe a radially propagat…
Dynamics of wrinkling in ultrathin elastic sheets
Finn Box, Doireann O'Kiely, Ousmane Kodio +3
The wrinkling of thin elastic objects provides a means of generating regular patterning at small scales in applications ranging from photovoltaics to microfluidic devices. Static w…