27 resultados para Initial value problems
em Repositório Científico do Instituto Politécnico de Lisboa - Portugal
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The population growth of a Staphylococcus aureus culture, an active colloidal system of spherical cells, was followed by rheological measurements, under steady-state and oscillatory shear flows. We observed a rich viscoelastic behavior as a consequence of the bacteria activity, namely, of their multiplication and density-dependent aggregation properties. In the early stages of growth (lag and exponential phases), the viscosity increases by about a factor of 20, presenting several drops and full recoveries. This allows us to evoke the existence of a percolation phenomenon. Remarkably, as the bacteria reach their late phase of development, in which the population stabilizes, the viscosity returns close to its initial value. Most probably, this is caused by a change in the bacteria physiological activity and in particular, by the decrease of their adhesion properties. The viscous and elastic moduli exhibit power-law behaviors compatible with the "soft glassy materials" model, whose exponents are dependent on the bacteria growth stage. DOI: 10.1103/PhysRevE.87.030701.
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We prove existence, uniqueness, and stability of solutions of the prescribed curvature problem (u'/root 1 + u'(2))' = au - b/root 1 + u'(2) in [0, 1], u'(0) = u(1) = 0, for any given a > 0 and b > 0. We also develop a linear monotone iterative scheme for approximating the solution. This equation has been proposed as a model of the corneal shape in the recent paper (Okrasinski and Plociniczak in Nonlinear Anal., Real World Appl. 13:1498-1505, 2012), where a simplified version obtained by partial linearization has been investigated.
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The activity of growing living bacteria was investigated using real-time and in situ rheology-in stationary and oscillatory shear. Two different strains of the human pathogen Staphylococcus aureus-strain COL and its isogenic cell wall autolysis mutant, RUSAL9-were considered in this work. For low bacteria density, strain COL forms small clusters, while the mutant, presenting deficient cell separation, forms irregular larger aggregates. In the early stages of growth, when subjected to a stationary shear, the viscosity of the cultures of both strains increases with the population of cells. As the bacteria reach the exponential phase of growth, the viscosity of the cultures of the two strains follows different and rich behaviors, with no counterpart in the optical density or in the population's colony-forming units measurements. While the viscosity of strain COL culture keeps increasing during the exponential phase and returns close to its initial value for the late phase of growth, where the population stabilizes, the viscosity of the mutant strain culture decreases steeply, still in the exponential phase, remains constant for some time, and increases again, reaching a constant plateau at a maximum value for the late phase of growth. These complex viscoelastic behaviors, which were observed to be shear-stress-dependent, are a consequence of two coupled effects: the cell density continuous increase and its changing interacting properties. The viscous and elastic moduli of strain COL culture, obtained with oscillatory shear, exhibit power-law behaviors whose exponents are dependent on the bacteria growth stage. The viscous and elastic moduli of the mutant culture have complex behaviors, emerging from the different relaxation times that are associated with the large molecules of the medium and the self-organized structures of bacteria. Nevertheless, these behaviors reflect the bacteria growth stage.
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We prove existence, uniqueness, and stability of solutions of the prescribed curvature problem (u'/root 1 + u'(2))' = au - b/root 1 + u'(2) in [0, 1], u'(0) = u(1) = 0, for any given a > 0 and b > 0. We also develop a linear monotone iterative scheme for approximating the solution. This equation has been proposed as a model of the corneal shape in the recent paper (Okrasinski and Plociniczak in Nonlinear Anal., Real World Appl. 13:1498-1505, 2012), where a simplified version obtained by partial linearization has been investigated.
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n this paper we make an exhaustive study of the fourth order linear operator u((4)) + M u coupled with the clamped beam conditions u(0) = u(1) = u'(0) = u'(1) = 0. We obtain the exact values on the real parameter M for which this operator satisfies an anti-maximum principle. Such a property is equivalent to the fact that the related Green's function is nonnegative in [0, 1] x [0, 1]. When M < 0 we obtain the best estimate by means of the spectral theory and for M > 0 we attain the optimal value by studying the oscillation properties of the solutions of the homogeneous equation u((4)) + M u = 0. By using the method of lower and upper solutions we deduce the existence of solutions for nonlinear problems coupled with this boundary conditions. (C) 2011 Elsevier Ltd. All rights reserved.
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Mestrado em Contabilidade e Gestão das Instituições Financeiras
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This work presents for the first time a systematic study on the optimization of the electrochemical cleaning time of a mercury film when it is used as a working electrode material in the analysis of toxic metals, such as Pb2+, used as model metal, in real samples by SWASV. The optimization study for the film’s cleaning time aimed at attaining a Pb2+ minimum value in the film after the re-oxidation step of the pre-concentrated metal, given the impossibility of complete removal of traces of the electroactive species from the film. This value was kept constant in each concentration range studied ensuring thus that all assays were performed in initial identical conditions. An assay performed on a synthetic sample was taken as reference. In it, given the absence of matrix effects, and after the electrochemical cleaning step, a direct proportionality was observed between the residual amounts of Pb2+ in the film (which for the cleaning time used was never completely removed) and Pb2+ concentration in the solution. This fact determined a high correlation between Pb2+ peak current and Pb2+ concentration which was not observed when real samples (tree leaves) were analyzed. This behavior may result from the presence of the interfering surfactants always present in real samples of complex matrix. Cleaning time optimization was performed for the following Pb2+ concentration ranges in the real samples of complex matrix: 0.006-0.020, 0.020-0.080, 0.060-0.200 and 0.100-0.600 ppb. As expected, in order to obtain identical levels of film’s cleaning efficiency, the need for longer cleaning times has been observed for higher concentrations. The optimized cleaning times for the concentration ranges under study were 120, 150, 180 e 300 s, respectively.
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Three different methods were used to introduce 1.0 wt.% of Pt in bifunctional Pt/MCM-22 zeolite catalysts: ion exchange with Pt(NH3)(4)(2+), incipient wetness impregnation with PtCl6H2 and mechanical mixture with Pt/Al2O3. The Pt dispersion was estimated by transmission electron microscopy and the hydrogenating activity with toluene hydrogenation at 110 degrees C. From these experiments, it can be concluded that with the ion exchanged sample, platinum was located within the inner micropores and on the outer surface, whereas with the impregnated one, platinum was essentially on the outer surface under the form of large particles. With all the samples there is a fast initial decrease in the activity for n-hexane hydroisomerisation at 250 degrees C. With exchanged and impregnated samples, this decrease is followed by a plateau, the activity value being then higher with impregnated sample. For the sample prepared by mechanical mixture a continuous decrease in activity can be observed. All these differences can be related with the distinct locations of Pt.
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Formaldehyde was the first air pollutant, which already in the 1970s emerged as a specifically non-industrial indoor air quality problem. Yet formaldehyde remained an indoor air quality issue and the formaldehyde level in residential indoor air is among the highest of any indoor air contaminant. Formaldehyde concentrations in 4 different indoor settings (schools, office buildings, new dwellings and occupied dwellings) in Portugal were measured using Photo Ionization Detection (PID) equipment (11,7 eV lamps). All the settings presented results higher than the reference value proposed by Portuguese legislation. Furthermore, occupied dwellings showed 3 units with results above the reference. We could conclude that formaldehyde presence is a reality in monitored indoor settings. Concentration levels are higher than the Portuguese reference value for indoor settings and these can indicate health problems for occupants.
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Este trabalho foi efectuado com o propósito de interpretar, compreender e explicar algumas ferramentas de simulação de processos, em particular o Aspen Energy Analyzer (AEA), o Aspen Economic Evaluation (AEE) e o seu funcionamento integrado com o Aspen Hysys(AH). O AH é uma ferramenta de modelação de processos para a concepção de projectos de engenharia química, o AEA é uma ferramenta de modelação de redes de integração energética. O AEE integrado no AH é uma ferramenta que permite incorporar estudos económicos numa fase preliminar do desenvolvimento de um projecto de engenharia. A abordagem a este trabalho foi efectuada através do estudo de Casos. O Caso I foi baseado na resolução de um problema no AEA através da construção e optimização de uma rede de permutadores de calor. Os Casos II e III foram baseados na construção de um flowsheet de produção de Benzeno e de Cloreto de Vinil, respectivamente, e cada Caso foi dividido em dois cenários diferentes. Para o efeito foram utilizados os softwares AEA para a integração energética dos processos, o AH para construção do fluxograma do processo e o AEE para os estudos económicos dos diferentes cenários. Finalmente, os Casos IV e V dizem respeito à resolução de um problema de integração energética. O Caso IV foi baseado num problema de optimização da rede de permutadores através do aumento da sua área. Já o Caso V foi baseado na informação inicial das correntes do caso anterior e em dois cenários diferentes, nos quais foi estudada a influência dos preços das utilidades na construção da rede de permutadores. A conclusão foi que as ferramentas de modelação, particularmente o AH, o AEA e o AEE são uma mais-valia extraordinária para ajudar o utilizador na tomada de decisões em fases bastante preliminares da engenharia de processos.
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Neste trabalho estudou-se a lixiviação em meio sulfúrico do zinco e outros metais de valor de um concentrado zinco, tendo-se realizado ensaios de lixiviação à pressão atmosférica e em autoclave. Nos estudos de lixiviação utilizou-se o ião férrico (sulfato férrico) como agente oxidante e avaliaram-se os efeitos de diversas variáveis como a razão sólido/líquido, concentração do ião Fe (III), temperatura, a pressão de oxigénio e a presença de enxofre elementar na eficiência da lixiviação. Os ensaios de lixiviação em autoclave sob pressão de oxigénio foram realizados para verificar o efeito da manutenção da quantidade de Fe (III) na lixívia, por oxidação do Fe(II) com oxigénio. Os resultados obtidos mostraram que à pressão atmosférica para uma razão sólido/líquido de 5% foi possível lixiviar no máximo 59% de zinco e 22% de cobre com solução de 0,25 M de Fe2(SO4)3 e 0,50 M de H2SO4 em 2 horas a 60ºC e com uma razão sólido/líquido de 5% foi possível lixiviar no máximo 65% de zinco e 23% de cobre com uma solução de 0,5 M de Fe2(SO4)3 e 0,25 M de H2SO4 em 2 horas a 80ºC. Efectuar a lixiviação do concentrado de zinco sobre pressão de oxigénio permitiu aumentar a cinética da reacção de lixiviação, tendo sido possível lixiviar 97% de zinco e 48% do cobre em 2 horas de lixiviação com uma solução de 0,25 M Fe2(SO4)3 e 0,5 M H2SO4 a 95 ºC e a 6 bar de pressão de oxigénio (à entrada do reactor) com uma razão sólido/líquido de 5%. Utilizando razão sólido/líquido de 10 % foi possível lixiviar 93% de zinco e 54% do cobre com uma solução de 0,50 M Fe2(SO4)3 e 1,25 M H2SO4 a 95 ºC e a 6 bar de pressão de oxigénio, e para uma razão sólido/líquido de 20 % foi possível lixiviar 84% de zinco e 39% do cobre com uma solução de 0,11 M Fe2(SO4)3 e 2,00 M H2SO4 a 95 ºC e a 10 bar de pressão. As análises de difracção de Raios X efectuados aos resíduos de lixiviação revelaram que o enxofre era maioritariamente oxidado a enxofre elementar. Assim, para um dos ensaios de lixiviação em autoclave, verificou-se que a remoção com tetracloreto de carbono do enxofre elementar formado num primeiro andar de lixiviação (s/l=20%, 0,11 M Fe2(SO4)3 e 2,00 M H2SO4 a 95 ºC e a 10 bar de pressão) permitia aumentar a percentagem de zinco no segundo andar de 42 para 68%. Por último, o estudo do efeito da temperatura permitiu calcular como base nas velocidades iniciais do zinco a energia de activação para a lixiviação do zinco que foi de 39 ± 1.40 kJ/mol para a lixiviação em autoclave e de 38 ± 1.40 kJ/mol para a lixiviação à pressão atmosférica, o que é indicativo do controlo reaccional.
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Thirty years ago, G.N. de Oliveira has proposed the following completion problems: Describe the possible characteristic polynomials of [C-ij], i,j is an element of {1, 2}, where C-1,C-1 and C-2,C-2 are square submatrices, when some of the blocks C-ij are fixed and the others vary. Several of these problems remain unsolved. This paper gives the solution, over the field of real numbers, of Oliveira's problem where the blocks C-1,C-1, C-2,C-2 are fixed and the others vary.
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Nowadays, the cooperative intelligent transport systems are part of a largest system. Transportations are modal operations integrated in logistics and, logistics is the main process of the supply chain management. The supply chain strategic management as a simultaneous local and global value chain is a collaborative/cooperative organization of stakeholders, many times in co-opetition, to perform a service to the customers respecting the time, place, price and quality levels. The transportation, like other logistics operations must add value, which is achieved in this case through compression lead times and order fulfillments. The complex supplier's network and the distribution channels must be efficient and the integral visibility (monitoring and tracing) of supply chain is a significant source of competitive advantage. Nowadays, the competition is not discussed between companies but among supply chains. This paper aims to evidence the current and emerging manufacturing and logistics system challenges as a new field of opportunities for the automation and control systems research community. Furthermore, the paper forecasts the use of radio frequency identification (RFID) technologies integrated into an information and communication technologies (ICT) framework based on distributed artificial intelligence (DAI) supported by a multi-agent system (MAS), as the most value advantage of supply chain management (SCM) in a cooperative intelligent logistics systems. Logistical platforms (production or distribution) as nodes of added value of supplying and distribution networks are proposed as critical points of the visibility of the inventory, where these technological needs are more evident.
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Although stock prices fluctuate, the variations are relatively small and are frequently assumed to be normal distributed on a large time scale. But sometimes these fluctuations can become determinant, especially when unforeseen large drops in asset prices are observed that could result in huge losses or even in market crashes. The evidence shows that these events happen far more often than would be expected under the generalized assumption of normal distributed financial returns. Thus it is crucial to properly model the distribution tails so as to be able to predict the frequency and magnitude of extreme stock price returns. In this paper we follow the approach suggested by McNeil and Frey (2000) and combine the GARCH-type models with the Extreme Value Theory (EVT) to estimate the tails of three financial index returns DJI,FTSE 100 and NIKKEI 225 representing three important financial areas in the world. Our results indicate that EVT-based conditional quantile estimates are much more accurate than those from conventional AR-GARCH models assuming normal or Student’s t-distribution innovations when doing out-of-sample estimation (within the insample estimation, this is so for the right tail of the distribution of returns).
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Os reguladores de tensão LDO são utilizados intensivamente na actual indústria de electrónica, são uma parte essencial de um bloco de gestão de potência para um SoC. O aumento de produtos portáteis alimentados por baterias levou ao crescimento de soluções totalmente integradas, o que degrada o rendimento dos blocos analógicos que o constituem face às perturbações introduzidas na alimentação. Desta forma, surge a necessidade de procurar soluções cada vez mais optimizadas, impondo assim novas soluções, e/ou melhoramentos dos circuitos de gestão de potência, tendo como objectivo final o aumento do desempenho e da autonomia dos dispositivos electrónicos. Normalmente este tipo de reguladores tem a corrente de saída limitada, devido a problemas de estabilidade associados. Numa tentativa de evitar a instabilidade para as correntes de carga definidas e aumentar o PSRR do mesmo, é apresentado um método de implementação que tem como objectivo melhorar estas características, em que se pretende aumentar o rendimento e melhorar a resposta à variação da carga. No entanto, a técnica apresentada utiliza polarização adaptativa do estágio de potência, o que implica um aumento da corrente de consumo. O regulador LDO foi implementado na tecnologia CMOS UMC 0.18μm e ocupa uma área inferior a 0,2mm2. Os resultados da simulação mostram que o mesmo suporta uma transição de corrente 10μA para 100mA, com uma queda de tensão entre a tensão de alimentação e a tensão de saída inferior a 200mV. A estabilidade é assegurada para todas as correntes de carga. O tempo de estabelecimento é inferior a 6μs e as variações da tensão de saída relativamente a seu valor nominal são inferiores a 5mV. A corrente de consumo varia entre os 140μA até 200μA, o que permite atingir as especificações proposta para um PSRR de 40dB@10kHz.