All Outputs (5)

Asymptotic analysis of a doubly nonlinear diffusion equation (2015)
Journal Article
King, J. R. (2016). Asymptotic analysis of a doubly nonlinear diffusion equation. Nonlinear Analysis: Theory, Methods and Applications, 138, https://doi.org/10.1016/j.na.2015.12.003

investigate the doubly nonlinear diffusion equation
∂u/∂t=1/n ∇.(u^m│∇u│^n-1) ∇u) and the same equation expressed in terms of a `pressure' variable. We classify various classes of compacted supported solutions, as well as finite-mass solutions that... Read More about Asymptotic analysis of a doubly nonlinear diffusion equation.

Pushed and pulled fronts in a discrete reaction-diffusion equation (2015)
Journal Article
King, J. R., & O'Dea, R. D. (2015). Pushed and pulled fronts in a discrete reaction-diffusion equation. Journal of Engineering Mathematics, https://doi.org/10.1007/s10665-015-9829-3

We consider the propagation of wave fronts connecting unstable and stable uniform solutions to a discrete reaction-diffusion equation on a one-dimensional integer lattice. The dependence of the wavespeed on the coupling strength µ between lattice poi... Read More about Pushed and pulled fronts in a discrete reaction-diffusion equation.

The Hele-Shaw injection problem for an extremely shear-thinning fluid (2015)
Journal Article

We consider Hele-Shaw flows driven by injection of a highly shear-thinning power-law fluid (of exponent n) in the absence of surface tension. We formulate the problem in terms of the streamfunction ψ, which satisfies the p-Laplacian equation ∇·(|∇ψ|p... Read More about The Hele-Shaw injection problem for an extremely shear-thinning fluid.

FlowerNet: a gene expression correlation metwork for anther and pollen development (2015)
Journal Article
Pearce, S., Ferguson, A., King, J., & Wilson, Z. A. (2015). FlowerNet: a gene expression correlation metwork for anther and pollen development. Plant Physiology, 167(4), https://doi.org/10.1104/pp.114.253807

Floral formation, in particular anther and pollen development, is a complex biological process with critical importance for seed set and for targeted plant breeding. Many key transcription factors regulating this process have been identified; however... Read More about FlowerNet: a gene expression correlation metwork for anther and pollen development.

Enhanced waterlogging tolerance in barley by manipulation of expression of the N-end rule pathway E3 ligase PROTEOLYSIS6 (2015)
Journal Article
Mendiondo, G. M., Gibbs, D. J., Szurman-Zubrzycka, M., Korn, A., Marquez, J., Szarejko, I., …Holdsworth, M. J. (2016). Enhanced waterlogging tolerance in barley by manipulation of expression of the N-end rule pathway E3 ligase PROTEOLYSIS6. Plant Biotechnology Journal, 14(1), 40-50. https://doi.org/10.1111/pbi.12334

© 2016 Society for Experimental Biology, Association of Applied Biologists and John Wiley & Sons Ltd. Increased tolerance of crops to low oxygen (hypoxia) during flooding is a key target for food security. In Arabidopsis thaliana (L.) Heynh., the N... Read More about Enhanced waterlogging tolerance in barley by manipulation of expression of the N-end rule pathway E3 ligase PROTEOLYSIS6.