88 citations · 262 across the 9 of their papers we have counts for
10 papers
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…
A class of perfect-fluid cosmologies with polarised Gowdy symmetry and a Kasner-like singularity
Keith Anguige
We prove the existence of a class of perfect-fluid cosmologies with polarised Gowdy symmetry and a Kasner-like singularity. These solutions of the Einstein equations depend on four…
Isotropic cosmological singularities 2: The Einstein-Vlasov system
K. Anguige, K. P. Tod
We consider the conformal Einstein equations for massless collisionless gas cosmologies which admit an isotropic singularity. After developing the general theory, we restrict to sp…
Isotropic cosmological singularities 1: Polytropic perfect fluid spacetimes
K. Anguige, K. P. Tod
We consider the conformal Einstein equations for polytropic perfect fluid cosmologies which admit an isotropic singularity. For the polytropic index gamma strictly greater than 1 a…
Isotropic cosmological singularities 3: The Cauchy problem for the inhomogeneous conformal Einstein-Vlasov equations
K. Anguige
We consider the conformal Einstein equations for massless collisionless gas cosmologies which admit an isotropic singularity. It is shown that the Cauchy problem for these equation…