We deal with initial-boundary value problems describing vertical vibrations of viscoelastic von Kármán-Donnell shells with a rigid inner obstacle. The short memory (Kelvin-Voigt) material is considered. A weak formulation of the problem is in the form of the hyperbolic variational inequality. We solve the problem using the penalization method.

A simple expression is derived to compute the total Gaussian linewidth of a Voigt line that is broadened by sinusoidal magnetic-field modulation as follows: delta HPPG(Hm)2 = delta HPPG(0)2 + kappa 2Hm2, where delta HPPG(Hm) is the Gaussian linewidth observed with an modulation amplitude Hm/2 and delta HPPG(0) is the Gaussian linewidth in the limit of zero modulation. The field modulation contr...

Citation: Kleinteich J, Hildebrand F, Bahram M, Voigt AY, Wood SA, Jungblut AD, Küpper FC, Quesada A, Camacho A, Pearce DA, Convey P, Vincent WF, Zarfl C, Bork P and Dietrich DR (2017) Pole-to-Pole Connections: Similarities between Arctic and Antarctic Microbiomes and Their Vulnerability to Environmental Change. Front. Ecol. Evol. 5:137. doi: 10.3389/fevo.2017.00137 Pole-to-Pole Connections: Si...

2014 The scattering factor of polyelectrolyte solutions in the absence of added salt presents a peak at a scattering vector qm which varies like C 1/2. This has been sometimes interpreted in terms of a local orientational order of cylinders. The variation holds however through many concentration regimes, and other explanations in term of correlation holes have been proposed. We evaluate the dif...

Necessary and sufficient conditions are given for a substochastic semigroup on L obtained through the Kato–Voigt perturbation theorem to be either stochastic or strongly stable. We show how such semigroups are related to piecewise deterministic Markov process, provide a probabilistic interpretation of our results, and apply them to fragmentation equations.