Modelling of several phenomena (evolution of tumor cells or environmental models, among others) involve a partial differential equation defined in a time-evolving or non-cylindrical domain. This issue has been widely considered in the literature for different kind of partial differential equations (see references in [8]), however the evolution of the domain is usually described either by means ...

Dynamics in a distributed system are self-stabilizing if they are guaranteed to reach a stable state regardless of how the system is initialized. Game dynamics are uncoupled if each player’s behavior is independent of the other players’ preferences. For uncoupled players, recognizing an equilibrium is a distributed computational task. Self-stabilizing uncoupled dynamics, then, capture both resi...

A reduction of the Dirac-Maxwell equations in the case of static cylindrical symmetry is performed. The behaviour of the resulting system of o.d.e.s is examined analytically and numerical solutions presented. There are two classes of solutions. • The first type of solution is a Dirac field surrounding a charged " wire. " The Dirac field is highly localised, being concentrated in cylindrical she...

Self-dual structures whose dual counterparts are themselves possess unique hidden symmetry, beyond the description of classical spatial symmetry groups. Here we propose a strategy based on nematic monolayer attractive half-cylindrical colloids to self-assemble these exotic structures. This system can be seen as 2D semidisks. By using Monte Carlo simulations, discover two isostatic self-dual cry...

In this paper, we construct a new model based on the coupling of thermoelasticity, plasma, and microelongation effect under volumetric absorption laser pulse. Three different thermoelasticity theories are applied to in 2D thermoelastic semiconducting medium whose properties temperature-dependent. The surface is exposed radiation having spatial temporal Gaussian distributions; addition, consider...