88 citations · 262 across the 9 of their papers we have counts for
6 papers · 1 filter
On the existence of minimisers for strain-gradient single-crystal plasticity
Keith Anguige, Patrick Dondl, Martin Kružík
We prove the existence of minimisers for a family of models related to the single-slip-to-single-plane relaxation of single-crystal, strain-gradient elastoplasticity with -har…
Global existence for a bulk/surface model for active-transport-induced polarisation in biological cells
Keith Anguige, Matthias Röger
We consider a coupled bulk/surface model for advection and diffusion of interacting chemical species in biological cells. Specifically, we consider a signalling protein that can ex…
Relaxation of the single-slip condition in strain-gradient plasticity
Keith Anguige, Patrick W. Dondl
We consider the variational formulation of both geometrically linear and geometrically nonlinear elasto-plasticity subject to a class of hard single-slip conditions. Such side cond…
Optimal energy scaling for a shear experiment in single-crystal plasticity with cross-hardening
Keith Anguige, Patrick Dondl
Consideration is given to a non-convex variational model for a shear experiment in the framework of single-crystal linearised plasticity with infinite cross-hardening. The rectangu…
A one-dimensional model for the interaction between cell-to-cell adhesion and chemotactic signalling
K. Anguige
We develop and analyse a discrete, one-dimensional model of cell motility which incorporates the effects of volume filling, cell-to-cell adhesion and chemotaxis. The formal continu…
Multi-phase Stefan problems for a nonlinear 1-d model of cell-to-cell adhesion and diffusion
K. Anguige
We consider a family of multi-phase Stefan problems for a certain 1-d model of cell-to-cell adhesion and diffusion, which takes the form of a nonlinear forward-backward parabolic e…