The extreme characteristics of the run-up of transient long waves are studied in this paper. First we give a brief overview of the existing theory which is mainly based on the hodograph transformation [9]. Then, using numerical simulations, we build on the work of Stefanakis et al. (2011) [37] for an infinite sloping beach and we find that resonant run-up amplification of monochromatic waves is...

Metamaterial (Smith, Pendry et al. 2004) interacts with electromagnetic waves in a resonant manner, affording us new giving rise to a new route for subwavelength photonic devices, such as compact antenna substrate (Li, Hang et al. 2005) and subwavelength resonant cavity (Zhou, Li et al. 2005; Li, Hao et al. 2006). Planar-type configuration,thanks to layer-by-layer fabrication technique, has bee...

We consider a markovian multiserver queue with a finite waiting line in which a customer may decide to leave and give up service if its waiting time in queue exceeds its random deadline. We focus on the performance measure in terms of the probability of being served under both transient and stationary regimes. We investigate monotonicity properties of first and second order of this performance ...

The deficiencies of stationary models applied to financial time series are well documented. A special form of non-stationarity, where the underlying generator switches between (approximately) stationary regimes, seems particularly appropriate for financial markets. We use a dynamic switching (modelled by a hidden Markov model) combined with a linear dynamical system in a hybrid switching state ...

The deeciencies of stationary models applied to nancial time series are well documented. A special form of non-stationarity, where the underlying generator switches between (approximately) stationary regimes, seems particularly appropriate for nancial markets. We use a dynamic switching (modelled by a hidden Markov model) combined with a linear dynamical system in a hybrid switching state space...

Until now, the analysis of long wave run-up on a plane beach has been focused on finding its maximum value, failing to capture the existence of resonant regimes. One-dimensional numerical simulations in the framework of the nonlinear shallow water equations are used to investigate the boundary value problem for plane and nontrivial beaches. Monochromatic waves, as well as virtual wave-gage reco...

Topics covered: 1. Landscape dynamics concepts – stability, persistence, resistance, resilience and recovery 2. Landscape equilibrium concepts – absolute constancy, shifting mosaic-steady state, stationary processes, bounded equilibrium 3. Nonequilibrium landscapes – role of legacies, landscape uniqueness, importance of scale 4. Disturbance and landscape equilibrium – scaling of disturbance reg...

A theory is provided to analyze the dynamics of delay-coupled pools of spiking neurons based on stability analysis of stationary firing. Transitions between stable and unstable regimes can be predicted by bifurcation analysis of the underlying integral dynamics. Close to the bifurcation point the network exhibits slowly changing activities and allows for slow collective phenomena like continuou...

The effects of an external force on a diffusive process subjected to a backbone structure are investigated by considering the system governed by a Fokker-Planck equation with drift terms. Our results show an anomalous spreading which may present different diffusive regimes connected to anomalous diffusion and stationary states.

We consider the direct and indirect detection signatures of WIMPs χ in kinematic regimes with a heavier, but nearly degenerate, charged state χ. For small splittings of O(10) MeV, the scattering of WIMPs off nuclei may be dominated by inelastic recombination processes mediated by the formation of (χN) bound states, leading to a distinct signature for direct detection. These cross-sections are b...