We study optical bistability of stationary light transmission in nonlinear periodic structures of finite and semi-infinite length. For finite-length structures, the system exhibits instability mechanisms typical for dissipative dynamical systems. We construct a LeraySchauder stability index and show that it equals the sign of the Evans function in λ = 0. As a consequence, stationary solutions w...

In this contribution we study the spectral stability problem for periodic traveling gravity-capillary waves on a two-dimensional fluid of infinite depth. We use a perturbative approach that computes the spectrum of the linearized water wave operator as an analytic function of the wave amplitude/slope. We extend the highly accurate method of Transformed Field Expansions to address surface tensio...

Extratropical tropospheric variability is investigated during Northern Hemisphere winter in the context of feedbacks between the meridional slope of the isentropic surfaces and the generation of eddy activity in the lower troposphere. The results reveal that at mid-high latitudes, periods of anomalously large tropospheric eddy heat fluxes (and thus wave generation) are preceded by anomalously s...

Steady premixed flames subjected to space-periodic steady forcing are studied via inhomogeneous Michelson-Sivashinsky (MS) and then Burgers equations. For both, the flame slope is posited to comprise contributions from complex poles to locate, and from a base-slope profile chosen in three classes (pairs of cotangents, single-sine functions or sums thereof). Base-slope-dependent equations for th...

Objetive: One major cause of Medial Opening-Wedge High Tibial Osteotomy (MOW-HTO) failure is inadvertent Posterior Tibial Slope (PTS) increase. To avoid this complication, posterior placement of the wedge plate is traditionally recommended. However, in the attempt of achieving such positioning, surgeon may encounter some undesired consequences, like medial collateral ligament disruption, instab...

The 2002–2003 Stromboli eruption triggered the failure of part of the Sciara del Fuoco slope, which generated a tsunami that struck the island and the northern coastline of Sicily. The Sciara del Fuoco is a very steep slope where all lava flows from the craters’ emplacement; most lateral eruptions usually take place from fissures propagating in this sector of the volcano. The eruption went on t...