Well-posedness for degenerate third order equations with delay and applications to inverse problems

[EN] In this paper, we study well-posedness for the following third-order in time equation with delay <disp-formula idoperators defined on a Banach space X with domains D(A) and D(B) such that t)is the state function taking values in X and u(t): (-, 0] X defined as u(t)() = u(t+) for < 0 belongs to an appropriate phase space where F and G are bounded linear operators. Using operator-valued Fourier multiplier techniques we provide optimal conditions for well-posedness of equation (0.1) in periodic Lebesgue-Bochner spaces Lp(T,X), periodic Besov spaces Bp,qs(T,X) and periodic Triebel-Lizorkin spaces Fp,qs(T,X). A novel application to an inverse problem is given.The first, second and third authors have been supported by MEC, grant MTM2016-75963-P. The second author has been supported by AICO/2016/30. The fourth author has been supported by MEC, grant MTM2015-65825-P.Conejero, JA.; Lizama, C.; Murillo-Arcila, M.; Seoane Sepúlveda, JB. (2019). 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Sulforaphane-enriched extracts from glucoraphanin-rich broccoli exert antimicrobial activity against gut pathogens in vitro and innovative cooking methods increase in vivo intestinal delivery of sulforaphane

Purpose Studies on broccoli (Brassica oleracea var. italica) indicate beneficial effects against a range of chronic diseases, commonly attributed to their bioactive phytochemicals. Sulforaphane, the bioactive form of glucoraphanin, is formed by the action of the indigenous enzyme myrosinase. This study explored the role that digestion and cooking practices play in bioactivity and bioavailability, especially the rarely considered dose delivered to the colon. Methods The antimicrobial activity of sulforaphane extracts from raw, cooked super broccoli and cooked super broccoli plus mustard seeds (as a source myrosinase) was assessed. The persistence of broccoli phytochemicals in the upper gastrointestinal tract was analysed in the ileal fluid of 11 ileostomates fed, in a cross-over design, super broccoli soup prepared with and without mustard seeds. Results The raw super broccoli had no antimicrobial activity, except against Bacillus cereus, but cooked super broccoli (with and without mustard seeds) showed considerable antimicrobial activity against various tested pathogens. The recovery of sulforaphane in ileal fluids post soup consumption was < 1% but addition of mustard seeds increased colon-available sulforaphane 6-fold. However, when sulforaphane was extracted from the ileal fluid with the highest sulforaphane content and tested against Escherichia coli K12, no inhibitory effects were observed. Analysis of glucosinolates composition in ileal fluids revealed noticeable inter-individual differences, with six “responding” participants showing increases in glucosinolates after broccoli soup consumption. Conclusions Sulforaphane-rich broccoli extracts caused potent antimicrobial effects in vitro, and the consumption of sulforaphane-enriched broccoli soup may inhibit bacterial growth in the stomach and upper small intestine, but not in the terminal ileum or the colon

Determination of the characteristics of an electric arc plasma contaminated by vapors from insulators

Number of industrial insulators: 10Results are presented from an experimental study (at atmospheric pressure) carried out on plasma penetrated by vapors from different industrial insulators. The data describe the influence of each insulator type upon the characteristics of the electric arc plasma, i.e. the resulting increase of the temperature, electronic density, electric field, and extinction velocity of the arc. Measurements were made spectrometrically and by means of probe

Influence of the nature of the metal on the conductivity of an argon-metal plasma

Number of materials: 16The importance of the value of the metal first ionisation potential in a low temperature region (T<8000K) is shown through a theoretical investigation of plasmas contaminated by various metals, for a temperature range between 5000K and 14000K

Mesure de la tension aux bornes d'un arc électrique

3La séparation des deux contacts d'un appareil de coupure traversé par un courant crée un arc électrique dont l'intensité et la durée sont liées au dispositif de coupure. La tension d'arc est l'une des grandeurs permettant de caractériser ce phénomène. Lors de l'interruption du courant, la tension varie très rapidement en fonction du temps et son amplitude est importante. La chaîne d'acquisition de mesures ne supporte pas des tensions d'entrées supérieures à 10 V. De ce fait, il faut intercaler entre l'arc et la chaîne un dispositif de mesure qui doit : - transmettre une image fidèle des variations de la tension en fonction du temps, donc avoir un temps de réponse très court pour pouvoir mesurer les signaux rapides et être linéaire afin d'éviter tout traitement informatique ; - réduire l'amplitude du signal pour le rendre compatible avec l'appareillage de mesure ; - permettre une isolation galvanique entre l'appareillage de mesure et l'arc pour assurer la protection du matériel et des personnes. On utilise, généralement, un appareil commercial « LEM » (système à Liaisons Electriques et Mécaniques), mais ce système linéaire est peu rapide pour des signaux transitoires. Nous avons, donc, étudié un dispositif à photocoupleurs qui doit assurer, comme le LEM, la linéarité et l'isolation galvanique

Development and study of cement and a phosphocalciques ceramic as medical use

The hydroxyapatite (Ca$_{10}$(PO$_{4})_{6}$(OH)$_{2})$ has a structure and a chemical composition very close to those of the mineral phase of calcified tissues. It is thus used for a long time in orthopedic and odontological surgery. In the past few years, cements which evolve toward the hydroxyapatite have been the object of several studies. This communication reports the synthesis and the study of new phosphocalcic cement, which evolves after hardening, towards a hydroxyapatite. The cement is composed of tricalcium phosphate a type ($\alpha$-Ca$_{3}$(PO$_{4})_{2})$, calcium hydroxide (Ca(OH)$_{2})$ and phosphoric acid (H$_{3}$PO$_{4})$. The sintering of hardened cement, leads to ceramics having a structure and chemical composition close to those of the bone's mineral phase. The trisodium phosphate is used as melting agent to increase the hardness of ceramics and to decrease the sintering temperature, without affecting the physicochemical properties of ceramics