In this paper we introduce two models of opinion dynamics in oligopoly markets and apply them to a situation, where a new entrant challenges two incumbents of the same size. The models differ in the way the two forces influencing consumer choice - (local) social interactions and (global)...

This introductory article presents the special Discussion and Debate volume 'From black swans to dragon-kings, is there life beyond power laws?'. We summarize and put in perspective the contributions into three main themes: (i) mechanisms for dragon-kings, (ii) detection of dragon-kings and...

This contribution investigates the impact of the deployment of tidal stream turbine arrays on sediment dynamics and seabed morphology in the Pentland Firth, Scotland. The Pentland Firth is arguably the premier tidal stream site in the world and engineering developments are progressing rapidly....

An ordinary differential equation (ODE) form of the radial return algorithm, which is essentially a Prandtl-Reuss material model, is combined with a strain-rate hardening model to produce an ODE that describes deviatoric stress through a prescribed density rise. An analytical solution is found...

The high cost of microalgae cultivation is one of the major hurdles in large scale production of microalgal biofuels. Cultivation in closed photobioreactors (PBR) to achieve high culture concentrations is a potential solution. However, existing PBR designs do not have the desired efficiencies,...

We review equilibrium properties for the dynamics of a single particle evolving in a visco-elastic medium under the effect of hydrodynamic backflow which includes added mass and Basset force. Arbitrary equilibrium forces acting upon the particle are also included. We discuss the derivation of...