A Weak Maximum Principle for Optimal Control Problems with Nonsmooth Mixed Constraints

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

A Markovian model market-Akerlof's lemons and the asymmetry of information

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Dissipation and its consequences in the scaling exponents for a family of two-dimensional mappings

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Dynamical scaling in fractal structures in the aggregation of tetraethoxysilane-derived sonogels

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Níveis críticos de fósforo em Brachiaria decunbens (Stapf) Prain, Brachiaria humidicola (Rendle) Schweickerdt, Digitaria decumbens Stent, Hypharrhenia rufa (Ness) Stapf, Melinis minutiflora Pal de Beauv, Panicum maximum Jacq. e Pennisetum purpureum Schum

Plantas dos capins braquiaria brachiaria decumbens Stapf (Prain) , quicuio da Amazonia, (Brachiaria humidicola (Rendle) Schweickerdt), pangola (Digitaria decumbens Stent), jaraguá (Hyphrrhenia rufa (Ness) Stapf), gordura (Melinis minutiflora Pal de Beauv), colonião (Panicum maximum Jacq) e napier (Pennisetwn purpure um Schum) foram cultivadas em solução nutritiva completa contendo, 0,12; 0,48; 1,94; 7,75 e 31,00 mg de fósforo por litro, com o objetivo de determinar os níveis críticos internos e externos de fosforo, e avaliar a eficiência com que absorvem e utilizam o fósforo. Aos setenta e cinco dias as plantas foram coletadas, separadas em caules, folhas, bainhas e raízes. Após secagem a 80ºC, as amostras foram pesadas e analisadas para fósforo na matéria seca. Curvas representativas do peso da matéria seca e da concentração de fósforo na matéria seca em função dos níveis de fosforo da solução nutritiva foram obtidas a partir de dados calculados de equações de regressão. Verificou-se que: - As espécies diferiram quanto à necessidade externa de fósforo, sendo B. humidicola e H. rufa as menos exigentes. Seguiram-se em ordem crescente B. decumbens, M. minutiflora, P. maximum, P. purpureum e D. decumbens. - Os níveis críticos internos de fósforo variaram entre as espécies, sendo maior em D. decumbens (0,38%) que nas demais. Seguiram-se em ordem decrescente B. decumbens (0,32%), B. humidioola (0,26%), M. minutiflora (0,24%), P. maximum (o,24%) e P. purpureum (0,20%). - A eficiência de absorção e utilização, do fósforo foi maior para B. humidicola. Seguiram-se em ordem decrescente P. purpureum, P. maximum, D. decumbens , B. decumbens e M. minutiflora.

Efeito de concentrações de espalhante adesionante e doses de glyphosate no controle de Brachiaria decumbens e Panicum maximum

Foram avaliadas as interações entre o glyphosate e o espalhante adesionante correspondente ao condensado de alcoolfenóis com óxido de eteno e sulfonados orgânicos quanto à redução de tensão superficial e ao controle de Panicum maximum e Brachiaria decumbens. Os produtos comerciais apresentavam 360 g e.a./l e 466 g i.a./l, respectivamente. O herbicida reduziu o efeito do espalhante sobre a tensão superficial. Na concentração de 0,1% de p.c., o espalhante maximizou o controle das duas espécies pelo glyphosate. P. maximum mostrou-se menos sensível ao glyphosate que B. decumbens, exigindo doses 24,05% superiores.

Sistema radicular do Panicum maximum Jacq. cv. IPR-86 Milênio adubado com nitrogênio e submetido à lotação rotacionada

Avaliou-se o efeito do nitrogênio no sistema radicular da espécie Panicum maximum Jacq. cv. IPR-86 Milênio, sob pastejo. As doses de N utilizadas foram 0; 150; 300 e 450 kg/ha.ano. As densidades de raízes no pré-pastejo foram avaliadas no quinto ano de aplicação de N, em três profundidades (0-10; 10-20 e 20-40 cm), com crescimento aos 7; 14; 21 e 35 dias após o pastejo. O método de pastejo utilizado foi o de lotação rotacionada. Os valores máximos de densidades de comprimento e de massa das raízes no pré e no pós-pastejo foram obtidos nas doses de N de 204; 206; 192 e 197 kg/ha, respectivamente. Nas doses de N de 0, 150 e 300 kg/ha, o crescimento das raízes (em densidade de comprimento) aumentou, em média, até 29 dias após o pastejo, enquanto, na dose 450 kg/ha, o aumento foi linear. Independentemente da dose de N, 60 a 25% do sistema radicular do cultivar IPR-86 Milênio concentrou-se nas camadas de 0-10 e 10-20 cm de profundidade, respectivamente.

Dynamical scaling properties of nanoporous undoped and Sb-doped SnO2 supported thin films during tri- and bidimensional structure coarsening

The coarsening of the nanoporous structure developed in undoped and 3% Sb-doped SnO2 sol-gel dip-coated films deposited on a mica substrate was studied by time-resolved small-angle x-ray scattering (SAXS) during in situ isothermal treatments at 450 and 650 degrees C. The time dependence of the structure function derived from the experimental SAXS data is in reasonable agreement with the predictions of the statistical theory of dynamical scaling, thus suggesting that the coarsening process in the studied nanoporous structures exhibits dynamical self-similar properties. The kinetic exponents of the power time dependence of the characteristic scaling length of undoped SnO2 and 3% Sb-doped SnO2 films are similar (alpha approximate to 0.09), this value being invariant with respect to the firing temperature. In the case of undoped SnO2 films, another kinetic exponent, alpha('), corresponding to the maximum of the structure function was determined to be approximately equal to three times the value of the exponent alpha, as expected for the random tridimensional coarsening process in the dynamical scaling regime. Instead, for 3% Sb-doped SnO2 films fired at 650 degrees C, we have determined that alpha(')approximate to 2 alpha, thus suggesting a bidimensional coarsening of the porous structure. The analyses of the dynamical scaling functions and their asymptotic behavior at high q (q being the modulus of the scattering vector) provided additional evidence for the two-dimensional features of the pore structure of 3% Sb-doped SnO2 films. The presented experimental results support the hypotheses of the validity of the dynamic scaling concept to describe the coarsening process in anisotropic nanoporous systems.

Variação na estrutura da vegetação de duas cultivares de Panicum maximum jacq. (colonião e tabiatã) submetidas a diferentes tipos de manejo. Composição em proteína bruta e digestibilidade In vitro da matéria seca

This work was carried out at FCAV-UNESP, Campus of Jaboticabal, Brazil, to study the effects of nitrogen fertilization (0 and 50 kg N/ha/cut), three sucessive periods of growth (December 21st 1987, January 25th 1988 and February 29th 1988)) and three cutting ages (28, 35 and 42 days) on composition in crude protein and in vitro dry matter digestibility of two cultivars of Panicum maximum Jacq. i.e., Coloniao and Tobiata. Plants were harvested in five vertical layers above soil level (0-20, 20-40, 40-60, 60-80 and over 80 cm). The samples were divided in: green leaves, green stems and dry material. Generally, values of in vitro dry matter digestibility and the levels of crude protein of both cultivars were greater in the higher layers of the vegetation, with a decrease, however, for the other layers and more advanced phases of plants development, mainly with no N fertilization.

Lap number properties for p-Laplacian problems investigated by Lyapunov methods

In this work we consider a one-dimensional quasilinear parabolic equation and we prove that the lap number of any solution cannot increase through orbits as the time passes if the initial data is a continuous function. We deal with the lap number functional as a Lyapunov function, and apply lap number properties to reach an understanding on the asymptotic behavior of a particular problem. (c) 2006 Published by Elsevier Ltd.

Analysing the new Saturnian rings, R/2004 S1 and R/2004 S2

The Cassini-Huygens arrival into the Saturnian system brought a large amount of data about the satellites and rings. Two diffuse rings were found in the region between the A ring and Prometheus. R/2004 S1 is coorbital to Atlas and R/2004 S2 is close to Prometheus. In this work we analysed the closest approach between Prometheus and both rings. As a result we found that the satellite removes particles from R/2004 S2 ring. Long-term numerical simulations showed that some particles can cross the F ring region . The well known region of the F ring, where small satellites are present and particles are being taking from the ring, gains a new insight with the presence of particles from R/2004 S2 ring. The computation of the Lyapunov Characteristic Exponent reveled that the R/2004 S2 ring lies in a chaotic region while R/2004 S1 ring and Atlas are in a stable region. Atlas is responsible for the formation of three regimes in the R/2004 S1 ring, as expected for a satellite embedded in a ring.

In situ degradability of hand harvested or extrusa samples of Tanzania grass (Panicum maximum, Jacq.)

In order to compare the in situ degradability of tanzania grass samples obtained as by extrusa or hand plucked, three ruminal fistulated cows were used in a completely randomized block design with split-plot scheme. Five grams of extrusa or hand harvested grasses were placed in nylon bags rumen incubated during 3, 6, 12, 24, 48, 96 and 120 hours. The degradability of DM, CP, NDF and ADF were, in this sequence, 62.59, 80.88, 50.73 and 46.65%, for hand-harvested grass; and 79.53, 90.97, 71.21 and 65.68%, for extrusa. In situ degradability data of hand harvested samples were not reliable.

Genetic parameters of milk, fat, and protein yields in the first three lactations, using an animal model and restricted maximum likelihood

Milk, fat, and protein yields of Holstein cows from the States of New York and California in the United States were used to estimate (co)variances among yields in the first three lactations, using an animal model and a derivative-free restricted maximum likelihood (REML) algorithm, and to verify if yields in different lactations are the same trait. The data were split in 20 samples, 10 from each state, with means of 5463 and 5543 cows per sample from California and New York. Mean heritability estimates for milk, fat, and protein yields for California data were, respectively, 0.34, 0.35, and 0.40 for first; 0.31, 0.33, and 0.39 for second; and 0.28, 0.31, and 0.37 for third lactations. For New York data, estimates were 0.35, 0.40, and 0.34 for first; 0.34, 0.44, and 0.38 for second; and 0.32, 0.43, and 0.38 for third lactations. Means of estimates of genetic correlations between first and second, first and third, and second and third lactations for California data were 0.86, 0.77, and 0.96 for milk; 0.89, 0.84, and 0.97 for fat; and 0.90, 0.84, and 0.97 for protein yields. Mean estimates for New York data were 0.87, 0.81, and 0.97 for milk; 0.91, 0.86, and 0.98 for fat; and 0.88, 0.82, and 0.98 for protein yields. Environmental correlations varied from 0.30 to 0.50 and were larger between second and third lactations. Phenotypic correlations were similar for both states and varied from 0.52 to 0.66 for milk, fat and protein yields. These estimates are consistent with previous estimates obtained with animal models. Yields in different lactations are not statistically the same trait but for selection programs such yields can be modelled as the same trait because of the high genetic correlations.

Maximum number of flux lines inside columnar defects

We set new limits for the maximum number of fluxons trapped inside columnar defects, for both cases of metallic and insulated cores. We show that the saturation limit predicted by the Mkrtchyan and Shmidt theory is just a first approximation to our results, because it does not consider the presence of the remaining flux lines exterior to the defects.

The strands of the F ring disturbed by its closest satellites

Some Voyager images showed that the F ring of Saturn is composed of at least four separate, non-intersecting, strands covering about 45 degrees in longitude. According to Murray et al. [Murray, C.D., Gordon, M., Giuliatti Winter, S.M. Unraveling the strands of Saturn's F ring. Icarus 129, 304, 1997.] this structure may be caused by undetected satellites embedded in the gaps.Due to precession, the satellites Prometheus and Pandora and the ring particles can experience periodic close encounters. Giuliatti Winter et al. [Giuliatti Winter, S.M, Murray, C.D., Gordon, M. Perturbations to Saturn's F-ring strands at their closest approach to Prometheus. Plan. Space Sciences, 48, 817, 2000.] analysed the behaviour of these four strands at closest approach with the satellite Prometheus. Their work suggests that Prometheus can induce the ring particles to scatter in the direction of the planet, thus increasing the population of small bodies in this region.In this work we analysed the effects of Prometheus on the radial structure of Saturn's F ring during the Voyager and early Cassini epochs. Our results show that at Voyager epoch Prometheus, and also Pandora, had a negligible influence in the strands. However, during the Cassini encounter Prometheus could affect the strands significantly, scattering particles of the inner strand in the direction of the planet. This process can contribute to the replenishment of material in the region between the F ring and the A ring, where two rings have recently been discovered [Porco, C. et al. Cassini imaging science. Initial results on Saturn's rings and small Satellites. Science, 307, 1226, 2005].We also analyse the behaviour of undetected satellites under the effects of these two satellites by computing the Lyapunov Characteristic Exponent. Our results show that these satellites have a chaotic behaviour which leads to a much more complex scenario. The new satellite S/2004 S6 also presents a chaotic behaviour with can alter the dynamic of the system, since this satellite crosses the orbit of the strands. (C) 2006 COSPAR. Published by Elsevier Ltd. All rights reserved.