Research Repository

See what's under the surface


Bank-Laine functions, the Liouville transformation and the Eremenko-Lyubich class (2018)
Journal Article
Langley, J. (2018). Bank-Laine functions, the Liouville transformation and the Eremenko-Lyubich class. Journal d'Analyse Mathématique,

The Bank-Laine conjecture concerning the oscillation of solutions of second order homogeneous linear differential equations has recently been disproved by Bergweiler and Ere-menko. It is shown here, however, that the conjecture is true if the set of... Read More

The effect of forest dislocations on the evolution of a phase-field model for plastic slip (2018)
Journal Article
Dondl, P., Kurzke, M., & Wojtowytsch, S. (2019). The effect of forest dislocations on the evolution of a phase-field model for plastic slip. Archive for Rational Mechanics and Analysis, 232(1), 65–119. doi:10.1007/s00205-018-1317-2

We consider the gradient flow evolution of a phase-field model for crystal dislocations in a single slip system in the presence of forest dislocations. The model is based on a Peierls-Nabarro type energy penalizing non-integer slip and elastic stress... Read More