Lower bounds on blow up solutions of the three-dimensional Navier-Stokes equations in homogeneous Sobolev spaces

Suppose that u(t) is a solution of the three-dimensional Navier-Stokes equations, either on the whole space or with periodic boundary conditions, that has a singularity at time T. In this paper we show that the norm of u(T - t) in the homogeneous Sobolev space (H)over dot(s) must be bounded below by c(s)t(-(2s-1)/4) for 1/2 < s < 5/2 (s not equal 3/2), where c(s) is an absolute constant depending only on s; and by c(s)parallel to u(0)parallel to((5-2s)/5)(L2)t(-2s/5) for s > 5/2. (The result for 1/2 < s < 3/2 follows from well-known lower bounds on blowup in Lp spaces.) We show in particular that the local existence time in (H)over dot(s)(R-3) depends only on the (H)over dot(s)-norm for 1/2 < s < 5/2, s not equal 3/2. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4762841]

Effect of citrate ions on the electrochemical behaviour of low-carbon steel in borate buffer solutions

The electrochemical behaviour of cold-rolled low carbon steel was studied on both active and passive potential regions in borate buffer solutions with and without the addition of sodium citrate (NaCit). In the active region anodic charges increased significantly and RCT values decreased with citrate, due to the formation of soluble complexes. In the passive potential region the film formed at +0.4 V in borate buffer solution with and without 0.010 M NaCit is probably enriched by Fe3O4 oxide, while films formed at +0.8 V are probably enriched by gamma-Fe2O3. The equivalent circuit [R-s(R(CT)Q)] fitted all experimental impedance data. (C) 2003 Elsevier Ltd. All rights reserved.

Electrochemical behaviour of heat-treated Al-Zn-Mg alloys in chloride solutions containing sulphate

The electrochemical corrosion and passivation of Al-5Zn-1.7Mg-0.23Cu-0.053Nb alloys, submitted to different heat treatments (cold-rolled, annealed, quenched and aged, and quenched in two steps and aged), in sulphate-containing chloride solutions, has been studied by means of cyclic polarization, electrochemical impedance spectroscopy (EIS), scanning electron microscopy (SEM), energy-dispersive X-ray (EDX), and X-ray photoelectron spectroscopy (XPS). The cyclic polarization curves showed that sulphate addition to the chloride solution produced a poor reproducible shift of the breakdown potential to more positive potentials. The repassivation potentials, much more reproducible, and practically separating the passive from the pitting potential region, were slightly displaced in the negative direction with that addition. When the alloys were potentiodynamically polarized in the passive potential region, sulphate was incorporated in the oxide film, thus precluding chloride ingress. In addition, Zn depletion was favoured, whereas Mg losses were avoided. Different equivalent circuits corresponding to different alloys and potentials in the passive and pitting regions were employed to account for the electrochemical processes taking place in each condition. This work shows that sulphate makes these alloys more sensitive to corrosion, increasing the fracture properties of the surface layer and favouring the pitting attack over greater areas than chloride alone. (C) 2002 Elsevier B.V. Ltd. All rights reserved.

Effect of hydrogen charging on the stability of SAE 10B22 steel surface in alkaline solutions

The influence of hydrogen charging into a quenched and tempered boron steel membrane electrode (SAE 10B22) was studied using borate buffer (pH 8.4) and NaOH solutions (pH 12.7), with or without the addition of 0.01 M EDTA. At the hydrogen input side, hydrogen charging influenced cyclic voltammograms increasing the anodic charge of iron(II) hydroxide formation, and decreasing the donor density of passive films. These results suggest that the hydrogen ingress caused instability of metallic surface, increasing the surface area activity. (C) 2005 Elsevier Ltd. All rights reserved.

Ascite neoplásica: efeito da solução aquosa de fenol, ácido acético e glicerina sobre o tumor ascítico de Ehrlich

OBJETIVO: Verificar o efeito da solução composta por fenol, ácido acético e glicerina sobre o tumor ascítico de Ehrlich. MÉTODOS: Utilizou-se 283 camundongos divididos em 2 protocolos (animais portadores e não portadores de tumor) procedendo-se a injeção de 0,25 ml, 0,10 ml e 0,05 ml da solução teste e 0,25 ml de solução salina, o sacrifício foi realizado após 3 e 6 dias do tratamento, analisando, a seguir, a contagem diferencial de células presentes no líquido ascítico. RESULTADOS: Observou-se que nos animais portadores de tumor houve uma redução significante do número de células tumorais e aumento do número de células inflamatórias, nos animais sem tumor observou-se influxo de células inflamatórias para a cavidade peritoneal. CONCLUSÃO: A solução proposta causa, in vivo, a diminuição do número de células tumorais e aumento do número de células inflamatórias no líquido ascítico.

ISOENZYMATIC POLYMORPHISM and ACTIVITY of PEROXIDASES of COMMON BEAN(Phaseolus vulgaris L.) UNDER SALINE STRESS

Uma das utilizações da técnica de cultura de tecidos para o melhoramento vegetal é a identificação de linhas de células que apresentem tolerância ao estresse salino. Para se estudar os mecanismos bioquímicos envolvidos na expressão genética da tolerância a salinidade, calos oriundos de eixos embrionários de quatro cultivares de feijão (Phaseolus vulgaris L.; cultivares IAC - carioca, IAPAR 14, JALO-EEP 558, BAT - 93), foram cultivados em meio sólido Murashige & Skoog (1962), suplementado com NaCl nas concentrações de 0, 20, 40, 60 e 80 mM. Após 14 dias de incubação, os calos foram coletados e analisados quanto aos padrões isoenzimáticos e de atividade das peroxidases. Os cultivares BAT e IAPAR apresentaram duas zonas de atividade em comum na região anódica e apenas uma zona enzimática específica a cada um deles (migração mais rápida).Possivelmente as duas zonas anódicas intermediárias sejam produtos do mesmo loco enzimático, porém com alelos diferentes, consequentemente diferentes mobilidades eletroforéticas. O cv. JALO apresentou duas zonas anódicas de atividade em comum com os cultivares IAC e IAPAR com uma zona anódica exclusiva de migração mais lenta, a qual apresentou atividade mais intensa de todos os cultivares analisados. Este cultivar revelou ainda uma zona catódica provavelmente dimérica e heterozigota nos indivíduos de todos os tratamentos aplicados. Provavelmente, esta é a mesma zona que ocorre em homozigose com fixação do alelo lento para os indivíduos de todos os tratamentos efetuados nos cultivares BAT e IAPAR. O cv. IAC apresentou duas bandas anódicas em comum com os cv. IAPAR e JALO. Apresentou também a banda anódica mais rápida em comum com o cv. IAPAR e uma banda anódica exclusiva de migração mais lenta. Curiosamente, os indivíduos deste cv. mantidos em meio suplementado com 20 mM de NaCl não apresentaram atividade nas três zonas anódicas mais lentas. Ocorreu no cv. IAC uma única zona de atividade catódica, dimérica e heterozigota para os indivíduos provenientes de todos os tratamentos, composta provavelmente de dois alelos diferentes da zona correspondente ao cv. JALO. Amostras provenientes dos tratamentos 40 e 60 mM de NaCl, desta zona catódica, apresentaram maior atividade enzimática. A análise da atividade da peroxidase no extrato bruto, revelou que os cultivares responderam diferentemente ao aumento da concentração salina no meio de cultura, com aumento pronunciado dessa atividade nos cultivares IAC e JALO.

Accelerating solutions of perfect fluid hydrodynamics for initial energy density and life-time measurements in heavy ion collisions

A new class of accelerating, exact, explicit and simple solutions of relativistic hydrodynamics is presented. Since these new solutions yield a finite rapidity distribution, they lead to an advanced estimate of the initial energy density and life-time of high energy heavy ion collisions. Accelerating solutions are also given for spherical expansions in arbitrary number of spatial dimensions.

Magnetic properties of Cu1+xMn2-xO4 and Ni1+xMn2-xO4 solid solutions

Magnetic properties of two spinel oxides solid solutions, Cul+xMn2-xO4 and Ni1+xMn2-xO4 are reported. These series are characterized by two magnetic transitions: the upper one, of ferrimagnetic type, occurs at about 85 K (for copper-based) and at 105-110 K (for nickel-based spinels), independently of the x-content: the lower transition may be related to a Neel-type collinear ordering and takes place at 30 and 45 K, respectively. Application of moderate fields (H > 250 Oe) make both transitions to merge into one broad maximum in the magnetization, which takes place at lower temperature when applying larger fields. Magnetization cycles with temperature (ZFC/FC) or field (loops) allowed us to well characterize the ordered state. The effective moment follows the expected behavior when manganese ions are being substituted by ions of lower magnetic moment (Ni(2+)andCU(2+)). (c) 2007 Elsevier Ltd. All rights reserved.

Structural studies on lead-cadmium fluoride solid solutions

(1-x)PbF2-(x)CdF2 solid solutions (with 0.1 less than or equal to x less than or equal to 0.5) were obtained by hyper-quenching the melt. Structural characteristics have been studied by X-ray diffraction (XRD) and extended X-ray absorption fine structure (EXAFS). A cubic solid solution was obtained in which the lattice parameter decreases with increasing CdF2 content. High anionic disorder was evidenced from EXAFS investigations, whereas cations remain in the FCC arrangement. Pb L-3-edge EXAFS results illustrate clearly the occurrence of CdxPb1-xF2 mixed crystals by the introduction of Cd atoms in the second Pb coordination shell. (C) 2002 Elsevier B.V. B.V. All rights reserved.

HYPOTHALAMIC-LESIONS INCREASE SALINE INGESTION INDUCED BY INJECTION OF ANGIOTENSIN-II INTO AV3V IN RATS

Water and 3% NaCl intake were increased by the injection of 4 ng angiotensin II (ANG II) into the anteroventral third ventricle (AV3V) region of rats. Pretreatment with two specific ANG II receptor antagonists, [octanoyl-Leu8]ANG II and [Leu8]ANG II, significantly reduced ANG II-induced water and saline intake. This inhibition lasted approximately 30 min, with partial recovery at 60 min. In rats with electrolytic lesion of the bilateral ventromedial nucleus of hypothalamus (VMH), the effect of ANG II on water intake was not different from that observed in sham rats, but saline ingestion increased. In summary, the present results show that the AV3V region is an important central structure for ANG II-induced saline ingestion. Lesion of the VMH increases the response to ANG II, showing an interaction between the AV3V region and the VMH in the regulation of salt ingestion.

Fluorescence study of the interaction between metal ions and methyl methacrylate methacrylic acid copolymers in aqueous solutions: thallium(I), calcium(II), and terbium(III)

The binding of the cations thallium(I), calcium(II) and terbium(III) to methyl methacrylate-methacrylic acid copolymers with different fractions of acid groups (x) has been studied in aqueous solution at, various pH values using the fluorescence of covalently bonded 9-vinyl anthracene as a probe. In all cases, the extent of binding increases as a function of the charge of the polymer with either increasing fraction of carboxylic acids or of pH. However, differences are observed in the behavior of the three cations, With Tl(I), quenching of the anthracene group fluorescence is observed. indicating that the thallium(I) approaches the probe and suggesting that the alkylanthracene is probably in a relatively polar region. Binding constants have been determined from anthracene quenching data and from studies with the fluorescent-probe sodium pyrenetetrasulfonate, Good agreement is obtained between the two methods, and values for the binding constants increase from 250 to 950 M-1 as x increases from 0.39 to 1. It is suggested that the cation is held in the polyelectrolyte domain, partly by Debye-Huckel effects and partly by more specific interactions. Stronger binding is found with calcium(II) and terbium(III), and in this case increases in fluorescence intensity are observed on complexation due to the anthracene group being in a more hydrophobic region, probably as a result of conformational changes in the polymer chain. In the former case the stoichiometry of the interaction was determined from the fluorescence data to involve two carboxylate groups bound per calcium. Association constants were found using murexide as an indicator of free calcium to vary from 8400 to 37 000 M-1 as x increases from 0.39 to 1. It is suggested that in this case specific calcium(II)-carboxylate interactions contribute to the binding. With terbium(III), a greater increase in the probe fluorescence intensity was observed than with calcium, and it is suggested that the interaction with the polymer is even stronger, leading to a more pronounced conformational change in the polymer. It is proposed that the terbium(III) interacts with sis carboxylic groups on the polymer chain, with three being coordinated and three attracted by electrostatic interactions.

Diffusion coefficients during osmotic dehydration of tomatoes in ternary solutions

The apparent diffusion coefficients for sucrose, NaCl and water during osmotic dehydration of tomatoes in ternary solutions were determined. Long time experiments (up to 60 h) were carried out in order to determine equilibrium concentrations inside tomatoes, whereas short time experiments (up to 4 h) were performed to provide detailed information on kinetics of water loss and solids gain at the beginning of osmotic treatment. The mass transfer rates for water and solutes showed to be dependent of NaCl and sucrose concentrations in osmotic solution and simple regression models as functions of solutes concentration were determined for diffusion coefficients. Salt and sucrose diffusivities showed to be interdependent, with increasing NaCl concentration causing the enhancement of water loss, at the same time that higher sucrose contents hindered the excessive salt penetration. (C) 2003 Elsevier Ltd. All rights reserved.