Decay of the radius of spatial analyticity for the modified KdV equation and the nonlinear Schr\"odinger equation with third order dispersion

We consider the initial value problems (IVPs) for the modified Korteweg-de Vries (mKdV) equation \begin{equation*} \label{mKdV} \left\{\begin{array}{l} \partial_t u+ \partial_x^3u+\mu u^2\partial_xu =0, \quad x\in\mathbb{R},\; t\in \mathbb{R} , \\ u(x,0) = u_0(x), \end{array}\right. \end{equation*} where $u$ is a real valued function and $\mu=\pm 1$, and the cubic nonlinear Schr\"odinger equation with third order dispersion (tNLS equation in short) \begin{equation*} \label{t-NLS} \left\{\begin{array}{l} \partial_t v+i\alpha \partial_x^2v+\beta \partial_x^3v+i\gamma |v|^2v = 0, \quad x\in\mathbb{R},\; t\in\mathbb{R} , \\ v(x,0) = v_0(x), \end{array}\right. \end{equation*} where $\alpha, \beta$ and $\gamma$ are real constants and $v$ is a complex valued function. In both problems, the initial data $u_0$ and $v_0$ are analytic on $\mathbb{R}$ and have uniform radius of analyticity $\sigma_0$ in the space variable. We prove that the both IVPs are locally well-posed for such data by establishing an analytic version of the trilinear estimates, and showed that the radius of spatial analyticity of the solution remains the same $\sigma_0$ till some lifespan $0<T_0\le 1$. We also consider the evolution of the radius of spatial analyticity $\sigma(t)$ when the local solution extends globally in time and prove that for any time $T\ge T_0$ it is bounded from below by $c T^{-\frac43}$, for the mKdV equation in the defocusing case ($\mu = -1$) and by $c T^{-(4+\varepsilon)}$, $\varepsilon>0$, for the tNLS equation. The result for the mKdV equation improves the one obtained in [ J. L. Bona, Z. Gruji\'c and H. Kalisch, Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation, Ann Inst. H. Poincar\'e 22 (2005) 783--797] and, as far as we know, the result for the tNLS equation is the new one.Comment: 20 page

O traçado urbano e o sistema viário: barreiras para um desenvolvimento social na cidade de Viçosa-MG

Peer Reviewe

Dos cartas: Jan Toorop y el dibujo simbolista

Este artigo versa sobre o conteúdo imagético de duas cartas com desenhos de Jan Toorop, que fazem parte da coleção pertencente à Fondation Custodia. O texto investiga a capacidade do desenho, no suporte epistolar, de capturar um instante da trajetória do artista. Para além de uma função meramente documental, a ilustração se torna um registro da expressão e criação do artista que a concebeu.Este artículo versa sobre el contenido de imágenes de dos cartas con dibujos de Jan Toorop, que forman parte de la colección perteneciente a la Fondation Custodia. El texto investiga la capacidad del dibujo, en el soporte epistolar, de capturar un instante de la trayectoria del artista. Además de una función meramente documental, la ilustración se convierte en un registro de la expresión y la creación del artista que la concibió.Facultad de Bellas Arte

Dos cartas: Jan Toorop y el dibujo simbolista

Este artigo versa sobre o conteúdo imagético de duas cartas com desenhos de Jan Toorop, que fazem parte da coleção pertencente à Fondation Custodia. O texto investiga a capacidade do desenho, no suporte epistolar, de capturar um instante da trajetória do artista. Para além de uma função meramente documental, a ilustração se torna um registro da expressão e criação do artista que a concebeu.Este artículo versa sobre el contenido de imágenes de dos cartas con dibujos de Jan Toorop, que forman parte de la colección perteneciente a la Fondation Custodia. El texto investiga la capacidad del dibujo, en el soporte epistolar, de capturar un instante de la trayectoria del artista. Además de una función meramente documental, la ilustración se convierte en un registro de la expresión y la creación del artista que la concibió.Facultad de Bellas Arte

Quasiharmonic elastic constants corrected for deviatoric thermal stresses

The quasiharmonic approximation (QHA), in its simplest form also called the statically constrained (SC) QHA, has been shown to be a straightforward method to compute thermoelastic properties of crystals. Recently we showed that for non-cubic solids SC-QHA calculations develop deviatoric thermal stresses at high temperatures. Relaxation of these stresses leads to a series of corrections to the free energy that may be taken to any desired order, up to self-consistency. Here we show how to correct the elastic constants obtained using the SC-QHA. We exemplify the procedure by correcting to first order the elastic constants of MgSiO$_3$-perovskite and MgSiO$_3$-post-perovskite, the major phases of the Earth's lower mantle. We show that this first order correction is quite satisfactory for obtaining the aggregated elastic averages of these minerals and their velocities in the lower mantle. This type of correction is also shown to be applicable to experimental measurements of elastic constants in situations where deviatoric stresses can develop, such as in diamond anvil cells.Comment: 4 figures, 1 table, submitted to Phys. Rev. B, July 200

Sugarcane Serine Peptidase Inhibitors, Serine Peptidases, And Clp Protease System Subunits Associated With Sugarcane Borer (diatraea Saccharalis) Herbivory And Wounding

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Sugarcane's (Saccharum spp.) response to Diatraea saccharalis (F.) (Lepidoptera: (Crambidae) herbivory was investigated using a macroarray spotted with 248 sugarcane Expressed Sequence Tags (ESTs) encoding serine peptidase inhibitors, serine peptidases. and Clp protease system subunits. Our results showed that after nine hours of herbivory, 13 sugarcane genes were upregulated and nine were downregulated. Among the upregulated genes, nine were similar to serine peptidase inhibitors and four were similar to Bowman-Birk Inhibitors (BBIs). Phylogenetic analysis revealed that these sequences belong to a phylogenetic group of sugarcane BBIs that are potentially involved in plant defense against insect predation. The remaining four upregulated genes included serine peptidases and one homolog to the Arabidopsis AAA+ chaperone subunit ClpD, which is a member of the Clp protease system. Among the downregulated genes, five were homologous to serine peptidases and four were homologous to Arabidopsis Clp subunits (three homologous to Clp AAA+ chaperones and one to a ClpP-related ClpR subunit). Although the roles of serine peptidase inhibitors in plant defenses against herbivory have been extensively investigated, the roles of plant serine peptidases and the Clp protease system represent a new and underexplored field of study. The up- and downregulated D. saccharalis genes presented in this study may be candidate genes for the further investigation of the sugarcane response to herbivory.179Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP) [2014/50275-9]Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq) [482737/2012-3]FAPESP [2004/09713-0, 2009/15920-2, 1998/15534-9, 2013/12577-0]CNPq/PDJ fellowship [168124/2014-9]Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq

A Study on the Reliability of an On-Site Oral Fluid Drug Test in a Recreational Context

The reliability of DrugWipe 5A on site test for principal drugs of abuse (cannabis, amphetamines, cocaine, and opiates) detection in oral fluid was assessed by comparing the on-site results with headspace solid-phase microextraction (HS-SPME) gas chromatography-mass spectrometry (GC-MS) analysis on samples extracted by the device collection pad. Oral fluid samples were collected at recreational settings (e.g., discos, pubs, and music bars) of Rome metropolitan area. Eighty-three club goers underwent the on-site drug screening test with one device. Independently from the result obtained, a second device was used just to collect another oral fluid sample subsequently extracted and analyzed in the laboratory following HS-SPME procedure, gas chromatographic separation by a capillary column, and MS detection by electron impact ionization. DrugWipe 5A on-site test showed 54 samples (65.1%) positive to one or more drugs of abuse, whereas 75 samples (90.4%) tested positive for one or more substances following GC-MS assay. Comparing the obtained results, the device showed sensitivity, specificity, and accuracy around 80% for amphetamines class. Sensitivity (67 and 50%) was obtained for cocaine and opiates, while both sensitivity and accuracy were unsuccessful (29 and 53%, resp.) for cannabis, underlying the limitation of the device for this latter drug class

HPLC microfractionation of flavones and antioxidant (radical scavenging) activity of Saccharum officinarum L.

The antioxidant activity of sugarcane (Saccharum officinarum L.) juice towards DPPH reagent was determined (EC50) and the main compounds with radical scavenging activity in juice and leaves extracts were identified by HPLC-UV/PAD analysis combined with HPLC microfractionation monitored by TLC using &#946;-carotene and DPPH as the detection reagents. In sugarcane leaves, luteolin-8-C-(rhamnosylglucoside) (1) was the most important compound with radical scavenging activity; in sugarcane juice, the flavones diosmetin-8-C-glucoside (2), vitexin (3) schaftoside (9), isoschaftoside (10) and 4',5'-dimethyl-luteolin-8-C-glucoside (11) were the most relevant compounds. The content of juice flavonoids (0.241 ± 0.001 mg total flavonoids/mL juice), comparable to other food sources of flavonoids, suggest the potential of sugarcane as a dietary source of natural antioxidants. However, the low antioxidant ability of sugarcane juice (EC50 = 100.2 ± 2.6 g L-1) also points to the need for further studies about the dietary intake of sugarcane flavonoids and its effects on human health.A atividade antioxidante do suco de cana-de-açúcar (Saccharum officinarum L.) frente ao reagente DPPH foi avaliada (EC50) e as principais substâncias com atividade seqüestradora de radicais livres do suco e extratos de folhas foram identificadas por CLAE-UV/DAD combinada com CLAE-microfracionamento monitorado por CCD, usando &#946;-caroteno e DPPH como reagentes de detecção. As substâncias mais importantes com atividade seqüestradora de radicais livres foram: nas folhas, luteolina-8-C-(ramnosilglucosídeo) (1); no suco, as flavonas diosmetina-8-C-glucosídeo (2), vitexina (3), schaftosídeo (9), isoschaftosídeo (10) e 4',5'-dimetil-luteolina-8-C-glucosídeo (11). O conteúdo de flavonóides totais do suco (0,241 ± 0,001 mg flavonóides totais/mL suco), comparável ao de outras fontes de flavonóides, sugere o potencial da cana-de-açúcar como fonte alimentícia de antioxidantes naturais. Porém, a baixa capacidade antioxidante da garapa (EC50 = 100,2 ± 2,6 g L-1) indica a necessidade de estudos sobre o consumo na dieta e seus efeitos na saúde humana.FAPESPCNP

Factors affecting the home range size of felids (Mammalia, Carnivora) with emphasis on three American species

El objetivo de este estudio fue evaluar los factores que influyen en el tamaño del ámbito hogareño de felinos en los niveles inter- e intraespecífico. En nivel interespecífico, evaluamos la influencia de la masa corporal en el ámbito hogareño de 19 especies de felinos, controlando la filogenia. A nivel de especies, evaluamos el efecto del sexo y el hábitat (abierto vs. cerrado) sobre el ámbito hogareño de tres especies de felinos americanos, Panthera onca, Leopardus pardalis y Puma concolor, para los cuales existe una buena cantidad de información. Los datos de masa corporal, sexo y ámbito hogareño fueron extraídos de la base de datos Pantheria (para 19 especies, para comparación interespecífica) y 48 estudios para la variación intraespecífica. Evaluamos la influencia de la masa corporal en el tamaño del ámbito hogareño de felinos utilizando un análisis filogenético de los mínimos cuadrados generalizados. Evaluamos la existencia de dimorfismo sexual en el ámbito hogareño y la masa corporal usando una prueba t pareada. Finalmente, investigamos la influencia del hábitat en el ámbito hogareño utilizando un modelo ANOVA. Nuestros resultados mostraron que el tamaño del ámbito hogareño está asociado positivamente con la masa corporal en felinos. A nivel intraespecífico, confirmamos que la masa corporal y el ámbito hogareño de los machos son mayores que los de las hembras en P. onca y L. pardalis y P. concolor. Además, el ámbito hogareño de P. onca aumenta en hábitats abiertos (i.e., pastizales, desiertos y matorrales), tal como se esperaba. En general, nuestros resultados confirman que los mayores ámbitos hogareños están asociados con un tamaño corporal más grande en los animales que necesitan más recursos alimentarios o recursos específicos (como presas para felinos) para satisfacer las tasas metabólicas. Además, el ámbito hogareño de los tres felinos parece estar muy influenciado por los atributos de reproducción, así como por la calidad del hábitat. Esto sugiere una conexión con la distribución espacial de alimentos (presas) y las oportunidades de apareamiento.We evaluated several factors that might be related to the home-range size of felids at both inter and intraspecific levels. At the interspecific level, we tested the influence of body mass on home range size of 19 felid species, while controlling for phylogeny. At the species level, we evaluated the effect of sex and habitat type (open vs. closed) on the home range size of three species of felids occurring in America, Panthera onca, Leopardus pardalis and Puma concolor, which are among the most studied species concerning home ranges. Body mass, sex, and home range data were extracted from the Pantheria database (for 19 species, for interspecific comparisons) and from 48 studies for intraspecific comparisons. We assessed the influence of body mass on the home range size of felids using phylogenetic generalized least squares analysis. We evaluated the existence of sexual dimorphism on both home range size and body mass using paired t-tests. Finally, we investigated the influence of habitat type (open vs. closed) on home range size using ANOVA. Our results show that home range size is positively influenced by body mass in felids. At the intraspecific level, we confirmed that both the body mass and home range are larger for males than for the females in P. onca, L. pardalis and P. concolor. Moreover, the average home range size of P. onca is larger in open (i.e., grasslands, deserts and shrublands) than in closed (i.e., forests) habitats. Overall, our results confirm that larger home ranges are associated with larger body sizes in animals that need a large amount of food resources or specific resources (such as the specific prey requirements of felids) to maintain their metabolic rates. Furthermore, home range size of these three felids seems to be strongly influenced by reproductive attributes as well as by habitat quality, suggesting a connection with the spatial distribution of both food (prey) and mates

Identification and characterisation of xylanolytic yeasts isolated from decaying wood and sugarcane bagasse in Brazil

In this study, yeasts associated with lignocellulosic materials in Brazil, including decaying wood and sugarcane bagasse, were isolated, and their ability to produce xylanolytic enzymes was investigated. A total of 358 yeast isolates were obtained, with 198 strains isolated from decaying wood and 160 strains isolated from decaying sugarcane bagasse samples. Seventy-five isolates possessed xylanase activity in solid medium and were identified as belonging to nine species: Candida intermedia, C. tropicalis, Meyerozyma guilliermondii, Scheffersomyces shehatae, Sugiyamaella smithiae, Cryptococcus diffluens, Cr. heveanensis, Cr. laurentii and Trichosporon mycotoxinivorans. Twenty-one isolates were further screened for total xylanase activity in liquid medium with xylan, and five xylanolytic yeasts were selected for further characterization, which included quantitative analysis of growth in xylan and xylose and xylanase and ß-d-xylosidase activities. The yeasts showing the highest growth rate and cell density in xylan, Cr. laurentii UFMG-HB-48, Su. smithiae UFMG-HM-80.1 and Sc. shehatae UFMG-HM-9.1a, were, simultaneously, those exhibiting higher xylanase activity. Xylan induced the highest level of (extracellular) xylanase activity in Cr. laurentii UFMG-HB-48 and the highest level of (intracellular, extracellular and membrane-associated) ß-d-xylosidase activity in Su. smithiae UFMG-HM-80.1. Also, significant ß-d-xylosidase levels were detected in xylan-induced cultures of Cr. laurentii UFMG-HB-48 and Sc. shehatae UFMG-HM-9.1a, mainly in extracellular and intracellular spaces, respectively. Under xylose induction, Cr. laurentii UFMG-HB-48 showed the highest intracellular ß-d-xylosidase activity among all the yeast tested. C. tropicalis UFMG-HB 93a showed its higher (intracellular) ß-d-xylosidase activity under xylose induction and higher at 30 °C than at 50 °C. This study revealed different xylanolytic abilities and strategies in yeasts to metabolise xylan and/or its hydrolysis products (xylo-oligosaccharides and xylose). Xylanolytic yeasts are able to secrete xylanolytic enzymes mainly when induced by xylan and present different strategies (intra- and/or extracellular hydrolysis) for the metabolism of xylo-oligosaccharides. Some of the unique xylanolytic traits identified here should be further explored for their applicability in specific biotechnological processes