Gevrey regularity and Analyticity for the solutions of the Vlasov-Navier-Stokes system

In this paper, we prove propagation of $\frac{1}{s}$-Gevrey regularity $(s \in (0, 1))$ and Analyticity $(s=1)$ for the Vlasov-Navier-Stokes system on $\mathbb{T}^d \times \mathbb{R}^d$ (or $\mathbb{R}^d\times\mathbb{R}^d$) using a Fourier space method in analogy to the results proved for the Euler system in [KV09] and [LO97] and for Vlasov-Poisson system in [VR21]. More precisely, we give quantitative estimates for the growth of the $\frac{1}{s}$-Gevrey norm and decay of the regularity radius for the solution of the system in terms of the force field $\nabla_x u$, the local density $\rho_f$ and the volume of the support in the velocity variable of the distribution of particles $f$. In particular, this implies existence of $\frac{1}{s}$-Gevrey $(s \in (0, 1))$ and Analytic $(s = 1)$ solutions for the Vlasov-Navier-Stokes system in $\mathbb{T}^d\times\mathbb{R}^d$ (or $\mathbb{R}^d\times\mathbb{R}^d$) and global Gevrey solutions in $\mathbb{T}^3\times\mathbb{R}^3$

Volatile compounds and biological activities of aerial parts of Pituranthos scoparius (Coss and Dur) Schinz (Apiaceae) from Hoggar, southern Algeria

Purpose: To determine the chemical composition as well as in vitro antimicrobial and antioxidant activities of the Pituranthos scoparius essential oil.Methods: The chemical composition of a hydro-distilled essential oil of P.scoparius was analyzed by GC and GC/MS systems. Antioxidant activity was evaluated using 2,2-diphenyl-1-picrylhydrazyl (DPPH) and β-carotene-linoleic acid assays while antimicrobial activity was screened using the disk diffusion method against a panel of six bacterial (Bacillus subtilis, Staphylococcus aureus, Escherichia coli, Pseudomonas aeruginosa, Klebseilla pneumonia, Agrobacterium tumefaciens) and four fungal strains (Candida albicans, Mucor sp, Aspergillus flavus, Penicilium expansum).Results: A total of 46 constituents were identified, representing 85.6 % of the oil; limonene (46.9 %) and 1,8-cineole (7.6 %) were the main components. The free radical scavenging activity of the oil was moderate with IC50 of 11.21 mg/mL. The oil showed weak to strong antimicrobial activity against all the microorganisms strains tested with minimum inhibitory concentration (MIC) ranging from 2.000 to 0.019 mg/mL.Conclusion: These findings indicate that the essential oil of P.scoparius has a potential for use as a preservative and flavorant in processed foods.Keywords: Pituranthos scoparius, Essential oil, Antioxidant activity, Antimicrobial activity, Flavoran

A Multiple Cell Proportional Counter for Continuous Airborne Radon Assessment

A new proportional counter type, baptized Multiple Cell Proportional Counter (MCPC), intended for continuous airborne radon activity measurements is described and its operation principle presented. This gas-flow proportional counter, consisting in a pile-up of 20 separate proportional counters elements, uses an argon-propane (1%) as a binary gas mixture to which is admixed an appropriate fraction of ambient air, in which radon activity concentration has to be continuously measured through a periodic counting of the áparticles emitted by 222Rn and its short-lived decay products within the sensitive volume. A Monte Carlo simulation code, RADON-MCPC, which takes into account the major physical processes that determine directly the detector performances, has been written and used for design optimization purposes. According to preliminary design calculations the MCPC model, should achieve a radon counting efficiency greater than 100 %. The simulation results show that the admixture of 10 % of ambient air seems to be sufficient to continuously assess radon concentration levels ranging from about 15 Bq/m3 up to 1.5 105 kBq/m3 for an integral counting period of 10 minutes, when setting the energy discrimination at 250 keV. The expected radon sensitivity is about 11 cpm /100 Bq⋅m-3, achieving thus a measurement accuracy of ± 10 Bq/m3 at a mean radon concentration level of 100 Bq/m3 with a detector time response of 10 min. The preliminary experimental á spectra registered show a great agreement with those obtained through the simulation code

Theoretical study of the structural stability, electronic and magnetic properties of XVSb (X == Fe, Ni, and Co) half-Heusler compounds

The structural, electronic and magnetic properties of half-Heusler compounds XVSb (X $=$ Fe, Co and Ni) are investigated by using the density functional theory with generalized gradient approximation (GGA), and Tran-Blaha modified Becke-Johnson (TB-mBJ) exchange potential approximation. It is found that the half-metallic gaps are generally reasonably widened by mBJ as compared to the GGA approximation. The magnetic proprieties of XVSb (X $=$ Fe, Co and Ni) are well defined within mBJ with an exact integer value of magnetic moment. The band gaps given by TB-mBJ are in good agreement with the available theoretical data. The FeVSb exhibits a semiconductor nature. The CoVSb and NiVSb present half-metallic behaviour with total magnetic moment of $1\mu_\text{B}$ and $2\mu_\text{B}$ in good agreement with Slater-Pauling rule. These alloys seem to be a potential candidate of spintronic devices.Comment: 9 pages, 5 figure

A polynomial characterization of Hilbert spaces

In this paper, we obtain a new characterization of Hilbert spaces by means of polynomial mappings, extending the linear result of Kwapień

Free Radicals and Extrinsic Skin Aging

Human skin is constantly directly exposed to the air, solar radiation, environmental pollutants, or other mechanical and chemical insults, which are capable of inducing the generation of free radicals as well as reactive oxygen species (ROS) of our own metabolism. Extrinsic skin damage develops due to several factors: ionizing radiation, severe physical and psychological stress, alcohol intake, poor nutrition, overeating, environmental pollution, and exposure to UV radiation (UVR). It is estimated that among all these environmental factors, UVR contributes up to 80%. UV-induced generation of ROS in the skin develops oxidative stress, when their formation exceeds the antioxidant defence ability of the target cell. The primary mechanism by which UVR initiates molecular responses in human skin is via photochemical generation of ROS mainly formation of superoxide anion (O2−∙), hydrogen peroxide (H2O2), hydroxyl radical (OH∙), and singlet oxygen (1O2). The only protection of our skin is in its endogenous protection (melanin and enzymatic antioxidants) and antioxidants we consume from the food (vitamin A, C, E, etc.). The most important strategy to reduce the risk of sun UVR damage is to avoid the sun exposure and the use of sunscreens. The next step is the use of exogenous antioxidants orally or by topical application and interventions in preventing oxidative stress and in enhanced DNA repair

Virtually (r; r₁, … , rₙ; s)-nuclear multilinear operators

In this paper, the space of virtually (r; r₁,…, rₙ; s)-nuclear multilinear operators between Banach spaces is introduced, some of its properties are described and its topological dual is characterized as a Banach space of multiple absolutely (r′ ; r₁′ ,..., rₙ' ; s′ )-summing multilinear operators.Ministerio de Educación Superior e Investigación Científica (MESRS), Algeria. Project CNEPRU B05620120016.peerReviewe

Virtually (r; r₁, … , rₙ; s)-nuclear multilinear operators

In this paper, the space of virtually (r; r₁,…, rₙ; s)-nuclear multilinear operators between Banach spaces is introduced, some of its properties are described and its topological dual is characterized as a Banach space of multiple absolutely (r′ ; r₁′ ,..., rₙ' ; s′ )-summing multilinear operators.Ministerio de Educación Superior e Investigación Científica (MESRS), Algeria. Project CNEPRU B05620120016.peerReviewe

Amniotic amputation

Amniotic band syndrome (ABS) is an uncommon, congenital fetal abnormality. Lower extremity limb defects are the common manifestations of ABS. The most common features include congenital distal ring constrictions, intrauterine amputations, and acrosyndactyly. Rare cases of craniofacial and visceral defects were reported. A female newborn, born at 33 weeks of gestation from a 43 years-old mother, gravida 6 para 6. The newborn was eutrophic (birth weight was 2500g, length was 46 cm and head circumference was 31 cm). Pregnancy was uneventful. Prenatal ultrasonography follow-up showed no abnormalities. Postnatal examination showed signs consistent with the diagnosis of amniotic bands syndrome at the newborn's left limbs. The newborn presented syndactyly, lymphedema, with distal agenesis of the 2nd, 3rd, and 4th fingers; ring constrictions of the great toe, and distal agenesis of the 2nd toe. No other birth defect was associated. The newborn was discharged on the tenth day of life. He was referred for orthopedic management of these anomalies.Pan African Medical Journal 2015; 2