We propose a model for transport of solutes in a porous medium participating in a dissolu-tion/precipitation reaction, in general not in equilibrium. For an unbounded spatial domain, travelling wave solutions exist, if and only if the charge distribution is constant and we deal with a dissolution situation. The travelling wave in fact exhibits a sharp dissolution front. The wave is given in a n...

The average travelling speed increases in a nontrivial manner with the travel distance. This leads to scaling-like relations on quite extended spatial scales, for all mobility modes taken together and also for a given mobility mode in part. We offer a wide range of experimental results, investigating and quantifying this universal effect and its measurable causes. The increasing travelling spee...

The nonexistence of heteroclinic travelling waves in an atomistic model for martensitic phase transitions is the focus of this study. The elastic energy is assumed to be piecewise quadratic, with two wells representing two stable phases. We demonstrate that there is no travelling wave joining bounded strains in the different wells of this potential for a range of wave speeds significantly lower...

For a simple one dimensional lattice version of a travelling wave equation, we obtain an exact relation between the initial condition and the position of the front at any later time. This exact relation takes the form of an inverse problem: given the times tn at which the travelling wave reaches the positions n, one can deduce the initial profile.We show, bymeans of complex analysis, that a num...

We introduce a new class of valid inequalities for the symmetric travelling salesman polytope. The family is not of the common handle-tooth variety. We show that these inequalities are all facet-inducing and have Chvv atal rank 2.

We report from an ethnographical study of mobile service technicians at Telia Nära examining the process of travelling as a mobile activity, for the purpose of designing for new mobile IT use. Taking a point of departure from information appliance as a vision for designing information technology and activity theory as a framework for grasping activities in context elaboration is made upon how t...

The persuasive game, Travelling Rose, aims to enhance walking activities of elderly residents living in neighbourhoods characterized by a low socioeconomic status. The game consists of a wooden pass-on box containing user-reports and instructions on how to find a companion, how to generate a surprise together, how to give this surprise a fellow neighbourhood member, and how to pass on the Trave...

Periodic travelling waves have been reported in a number of recent spatio-temporal field studies of populations undergoing multi-year cycles. Mathematical modelling has a major role to play in understanding these results and informing future empirical studies. We review the relevant field data and summarize the statistical methods used to detect periodic waves. We then discuss the mathematical ...