Stochastic inviscid shell models: well-posedness and anomalous dissipation

In this paper we study a stochastic version of an inviscid shell model of turbulence with multiplicative noise. The deterministic counterpart of this model is quite general and includes inviscid GOY and Sabra shell models of turbulence. We prove global weak existence and uniqueness of solutions for any finite energy initial condition. Moreover energy dissipation of the system is proved in spite of its formal energy conservation.Comment: v2 has updated introductio

The combined use of corticotomy and clear aligners: a case report

OBJECTIVE:   To describe an orthodontic treatment that combines an esthetic approach (clear aligners) with surgery (alveolar corticotomy). MATERIALS AND METHODS:   A patient with moderate dental crowding and Class I skeletal and molar relationships was selected. Orthodontic records of the patient were taken. Periodontal indexes, oral health-related quality of life (OHRQoL), and treatment time were evaluated. After we reflected a full-thickness flap beyond the teeth apices, the cortical bone was exposed on the buccal aspect and a modified corticotomy procedure was performed. Interproximal corticotomy cuts were extended through the entire thickness of the cortical layer, just barely penetrating into medullary bone. Orthodontic force was applied on the teeth immediately after surgery. RESULTS:   Total treatment time was 2 months. Periodontal indexes were improved after correction of crowding. A deterioration of OHRQoL was limited to 3 days following surgery. CONCLUSION:   This case report may encourage the use, limited to selected cases, of corticotomy associated with clear aligners to treat moderate crowding

Towards a new generation of photodetectors: The VSiPMT

The VSiPMT (Vacuum Silicon PhotoMultiplier Tube) is an innovative design we launch for a revolutionary hybrid photon detector. The main idea is to replace the classical dynode chain of a PMT with a SiPM, which therefore acts as an electron detector and amplifier. The aim is to match the large sensitive area of a photocathode with the performances of the SiPM technology. The VSiPMT will have many attractive features and its strongest points are the low power consumption and the excellent photon-counting capability. We proved the feasibility of the idea thanks to an R&D project, started with a Geant4-based simulation study and carried on with an essential experimental activity where we tested the performances of a special non-windowed MPPC by Hamamatsu as electron detector and current amplifier. In this work, we present the results of the full characterization of the first industrial prototypes of VSiPMT

Full Characterization of the First 1 Inch Industrial Prototype of a New Concept Photodetector

The VSiPMT (Vacuum Silicon PhotoMultiplier Tube) is an original design for an innovative light detector we proposed with the aim to create new scientific instrumentation for industrial applications and physics research. The idea behind this device is to replace the classical dynode chain of a photomultiplier tube with a silicon photomultiplier, the latter acting as an electron detector and amplifier. The VSiPMT offers very attractive features and unprecedented performance, definitely superior to every other photodetector with comparable sensitive surface, such as: negligible power cosumption, excellent photon counting, easy low-voltage-based stabilization and very good time performance. After the feasibility test of the idea, Hamamatsu Photonics realized for our research group two VSiPMT industrial prototypes, that have been fully characterized. The results of the full characterization of the 1-inch industrial prototype are presented in this work.Comment: 11 pages, 14 figure

Global regularity for a slightly supercritical hyperdissipative Navier-Stokes system

We prove global existence of smooth solutions for a slightly supercritical hyperdissipative Navier--Stokes under the optimal condition on the correction to the dissipation. This proves a conjecture formulated by Tao [Tao2009]

Global regularity for a logarithmically supercritical hyperdissipative dyadic equation

We prove global existence of smooth solutions for a slightly supercritical dyadic model. We consider a generalized version of the dyadic model introduced by Katz-Pavlovic [KatPav2004] and add a viscosity term with critical exponent and a supercritical correction. This model catches for the dyadic a conjecture that for Navier-Stokes equations was formulated by Tao [Tao2009