Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model

In this paper we introduce and analyze an algorithm for continuous data assimilation for a three-dimensional Brinkman-Forchheimer-extended Darcy (3D BFeD) model of porous media. This model is believed to be accurate when the flow velocity is too large for Darcy's law to be valid, and additionally the porosity is not too small. The algorithm is inspired by ideas developed for designing finite-parameters feedback control for dissipative systems. It aims to obtaining improved estimates of the state of the physical system by incorporating deterministic or noisy measurements and observations. Specifically, the algorithm involves a feedback control that nudges the large scales of the approximate solution toward those of the reference solution associated with the spatial measurements. In the first part of the paper, we present few results of existence and uniqueness of weak and strong solutions of the 3D BFeD system. The second part is devoted to the setting and convergence analysis of the data assimilation algorithm

Is AlOH the Astrochemical Reservoir Molecule of AlO?: Insights from Excited Electronic States

Very recently, the optical bands of the 2Σ+ ← X2Σ+system of AlO have been identified in the red supergiant star VYCMa. In an effort to explain the origin of this transition, we used state-of-the-art quantum chemical calculations with proven high accuracy to compute the lowest singlet and triplet electronic states of the AlOH and HAlO isomers as well as their equilibrium geometry and electronic properties. Our calculated potential energy surfaces implicate the three singlet electronic states 21A′, 31A′, and 11A″ in the photodissociation of the [Al,O,H] system. Only AlO, H, Al, and OH products can occur through the photodissociation of [Al,O,H]; AlH and O are not allowed. For the photodissociation of AlOH, the AlO product can occur only in its excited states AlO(2Π) and AlO(2Σ+)

Global Well-Posedness of a 3D MHD Model in Porous Media

In this paper we show the global well-posedness of solutions to a three-dimensional magnetohydrodynamical (MHD) model in porous media. Compared to the classical MHD equations, our system involves a nonlinear damping term in the momentum equations due to the "Brinkman-Forcheimer-extended-Darcy" law of flow in porous media

Toward the detection of the triatomic negative ion SPN−: Spectroscopy and potential energy surfaces

High level theoretical calculations using coupled-cluster theory were performed to provide an accurate description of the electronic structure, spectroscopic properties, and stability of the triatomic negative ion comprising S, N, and P. The adiabatic electron affinities (AEAs) and vertical detachment energies (VDEs) of PNS, SPN, PSN, and cyc-PSN were calculated. The predicted AEA and VDE of the linear SPN isomer are large: 2.24 and 3.04 eV, respectively. The potential energy surfaces (PESs) of the lowest-lying electronic states of the SPN isomer along the PN and SP bond lengths and bond angle were mapped. A set of spectroscopic parameters for SPN, PNS, and PSN in their electronic ground states is obtained from the 3D PESs to help detect these species in the gas phase. The electronic excited state SPN (12A”) is predicted to be stable with a long lifetime calculated to be 189.7 µs. The formation of SPN in its electronic ground state through the bimolecular collision between S + PN and N + PS is also discussed

Biochemical composition of three Tunisian silverside (fish) populations caught in open sea, lagoon and island coasts

Fatty acid and amino acid profiles were determined in three silverside populations caught in Tunisian waters Atherina boyeri (open sea), Atherina lagunae (lagoon) and Atherina sp. (island coasts). Saturated fatty acids reached in total lipids 43.54%, 36.96% in marine and 33.64% in insular silverside and A. lagunae, in which eicosapentaenoic acid, docosahexaenoic acid and linoleic acid were the prominent fatty acids. The n-3/n-6 index showed a significant level indicating a tendency to accumulate n-3 fatty acids in A. boyeri and A. lagunae and n-6 fatty acids in Atherina sp. Total amino acid content ranged from 528 to 588 mg/g crude protein, in which, glutamic acid was the most abundant. Methionine had the lowest essential amino acid score in A. boyeri and Atherina sp. (0.73 and 0.71, respectively)while tryptophan had the lowest in A. lagunae (0.07)

Predictions of selected flavour observables within the Standard Model

This letter gathers a selection of Standard Model predictions issued from the metrology of the CKM parameters performed by the CKMfitter group. The selection includes purely leptonic decays of neutral and charged B, D and K mesons. In the light of the expected measurements from the LHCb experiment, a special attention is given to the radiative decay modes of B mesons as well as to the B-meson mixing observables, in particular the semileptonic charge asymmetries a^d,s_SL which have been recently investigated by the D0 experiment at Tevatron. Constraints arising from rare kaon decays are addressed, in light of both current results and expected performances of future rare kaon experiments. All results have been obtained with the CKMfitter analysis package, featuring the frequentist statistical approach and using Rfit to handle theoretical uncertainties.Comment: 8 pages, 1 figure, 2 tables. Typos corrected and discussion of agreement between SM and data update

L’atteinte nerveuse au cours du syndrome de gougerot - sjögren, a propos d’un cas

Description Les complications neurologiques au cours du syndrome de Gougerot-Sjögren se voient dans 8,5 à 70 % des cas. Les données de la littérature concernant le système nerveux périphérique sont nombreuses et assez concordantes. En revanche les données concernant les manifestations centrales sont beaucoup plus rares et discordantes. Objectifs Décrire les différentes atteintes neurologiques qui peuvent se voir au cours du syndrome de Gougerot- Sjögren. Résultats Les auteurs rapportent l’observation d’une femme de 67 ans qui présentait une hypertrophie de toutes les glandes salivaires associée à une paralysie du facial droit et une hypoesthésie du territoire du trijumeau homolatéral. Les explorations paracliniques comprenant une biopsie labiale et une IRM cérébrale ont permis de conclure en faveur d’un syndrome de Gougerot-Sjögren. La patiente a bénéficié d’un traitement corticoïde par voie générale avec régression totale des atteintes salivaire et nerveuse au bout de 2 mois Conclusion Le syndrome de Gougerot-Sjögren est une pathologie chronique auto-immune qui touche essentiellement les glandes exocrines. Il peut associer aussi une atteinte extra-glandulaire. L’atteinte nerveuse est possible mais rarement vue dans le cadre de ce syndrome (20%). L’atteinte des paires crâniennes est encore plusrare et prédomine surtout sur le trijumeau