All Outputs (6)

Necessary conditions for breathers on continuous media to approximate breathers on discrete lattices (2015)
Journal Article
Smith, W., & Wattis, J. (2015). Necessary conditions for breathers on continuous media to approximate breathers on discrete lattices. European Journal of Applied Mathematics, 27(1), https://doi.org/10.1017/S0956792515000273

We start by considering the sine-Gordon partial differential equation (PDE with an arbitrary perturbation. Using the method of Kuzmak-Luke, we investigate those conditions the perturbation must satisfy in order for a breather solution to be a vali... Read More about Necessary conditions for breathers on continuous media to approximate breathers on discrete lattices.

Random sequential adsorption with two components: asymptotic analysis and finite size effects (2015)
Journal Article
Reeve, L., & Wattis, J. A. (2015). Random sequential adsorption with two components: asymptotic analysis and finite size effects. Journal of Physics A: Mathematical and Theoretical, 48(23), Article 235001. https://doi.org/10.1088/1751-8113/48/23/235001

We consider the model of random sequential adsorption (RSA) in which two lengths of rod-like polymer compete for binding on a long straight rigid one-dimensional substrate. We take all lengths to be discrete, assume that binding is irreversible, and... Read More about Random sequential adsorption with two components: asymptotic analysis and finite size effects.

Mathematical modelling of hepatic lipid metabolism (2015)
Journal Article
Pratt, A. C., Wattis, J. A., & Salter, A. M. (2015). Mathematical modelling of hepatic lipid metabolism. Mathematical Biosciences, 262, https://doi.org/10.1016/j.mbs.2014.12.012

The aim of this paper is to develop a mathematical model capable of simulating the metabolic response to a variety of mixed meals in fed and fasted conditions with particular emphasis placed on the hepatic triglyceride element of the model. Model va... Read More about Mathematical modelling of hepatic lipid metabolism.

Behaviour of the extended Toda lattice (2015)
Journal Article
Wattis, J. A., Gordoa, P. R., & Pickering, A. (2015). Behaviour of the extended Toda lattice. Communications in Nonlinear Science and Numerical Simulation, 28, https://doi.org/10.1016/j.cnsns.2015.04.006

We consider the first member of an extended Toda lattice hierarchy. This system of equations is differential with respect to one independent variable and differential-delay with respect to a second independent variable. We use asymptotic analysis to... Read More about Behaviour of the extended Toda lattice.

Scaling behavior near jamming in random sequential adsorption (2015)
Journal Article
Purves, B., Reeve, L., Wattis, J. A., & Mao, Y. (2015). Scaling behavior near jamming in random sequential adsorption. Physical Review E, 91(2), Article 022118. https://doi.org/10.1103/PhysRevE.91.022118

For the Random Sequential Adsorption model, we introduce the ‘availability’ as a new variable corresponding to the number of available locations in which an adsorbate can be accommodated. We investigate the relation of the availability to the coverag... Read More about Scaling behavior near jamming in random sequential adsorption.

Decay of bound states in a sine-Gordon equation with double well potentials (2015)
Journal Article
Ali, A., Susanto, H., & Wattis, J. A. (2015). Decay of bound states in a sine-Gordon equation with double well potentials. Journal of Mathematical Physics, 56, Article 051502. https://doi.org/10.1063/1.4917284

We consider a spatially inhomogeneous sine-Gordon equation with a double-well potential, describing long Josephson junctions with phase-shifts. We discuss the interactions of symmetric and antisymmetric bound states in the system. Using a multiple sc... Read More about Decay of bound states in a sine-Gordon equation with double well potentials.