[BOOK][B] Singularities and Groups in Bifurcation Theory: Volume II

M Golubitsky, I Stewart, DG Schaeffer - 2012 - books.google.com
… In Case Study 5 we show, following Ball and Schaeffer [1983], that this scenario does occur
in equations modeling an elastic body … We shall use these ideas to restrict the form of (dg).· …

A two-current model for the dynamics of cardiac membrane

CC Mitchell, DG Schaeffer - Bulletin of mathematical biology, 2003 - Springer
… Thus the single equation (36), a bifurcation problem of the type studied in Golubitsky and
Schaeffer (1985), characterizes all 1 : 1 and 2 : 2 responses of our model. Moreover, …

Well-posed and ill-posed behaviour of the-rheology for granular flow

T Barker, DG Schaeffer, P Bohórquez… - Journal of Fluid …, 2015 - cambridge.org
… material with a von Mises yield surface, which Schaeffer (1987) showed were always ill-posed …
PITMAN, EB&SCHAEFFER, DG 1987 Stability of time dependent compressible granular …

Well-posed continuum equations for granular flow with compressibility and μ(I)-rheology

T Barker, DG Schaeffer… - Proceedings of the …, 2017 - royalsocietypublishing.org
Continuum modelling of granular flow has been plagued with the issue of ill-posed dynamic
equations for a long time. Equations for incompressible, two-dimensional flow based on the …

Forces on a slowly rotating, rough cylinder in a Couette device containing a dry, frictional powder

GI Tardos, MI Khan, DG Schaeffer - Physics of Fluids, 1998 - pubs.aip.org
In the present work, a fine, dry powder was sheared in a Couette device: ie, sheared
between concentric vertical cylinders. The torque generated on the rough, inner cylinder was …

Condition for alternans and stability of the 1: 1 response pattern in a “memory” model of paced cardiac dynamics

EG Tolkacheva, DG Schaeffer, DJ Gauthier… - Physical review E, 2003 - APS
We analyze a mathematical model of paced cardiac muscle consisting of a map relating the
duration of an action potential to the preceding diastolic interval as well as the preceding …

Qualitative analysis of a model for boundary effects in the Taylor problem

DG Schaeffer - … Proceedings of the Cambridge Philosophical Society, 1980 - cambridge.org
SCHAEFFER independent of z and it turns out that T(vp v,, vm) has the same 2-dependence
as simple products of the components of Vj, Vj, vm. Thus the inner product (1-14) will …

[HTML][HTML] Principles that govern competition or co-existence in Rho-GTPase driven polarization

…, TC Elston, TP Witelski, DG Schaeffer… - PLoS computational …, 2018 - journals.plos.org
Rho-GTPases are master regulators of polarity establishment and cell morphology. Positive
feedback enables concentration of Rho-GTPases into clusters at the cell cortex, from where …

Granular friction, Coulomb failure, and the fluid-solid transition for horizontally shaken granular materials

G Metcalfe, SGK Tennakoon, L Kondic, DG Schaeffer… - Physical Review E, 2002 - APS
We present the results of an extensive series of experiments, molecular dynamics simulations,
and models that address horizontal shaking of a layer of granular material. The goal of …

Constitutive relations for compressible granular flow in the inertial regime

DG Schaeffer, T Barker, D Tsuji, P Gremaud… - Journal of Fluid …, 2019 - cambridge.org
Granular flows occur in a wide range of situations of practical interest to industry, in our
natural environment and in our everyday lives. This paper focuses on granular flow in the so-…