DAMPED WAVE EQUATIONS WITH FAST GROWING DISSIPATIVE NONLINEARITIES

Let a > 0, Omega subset of R(N) be a bounded smooth domain and - A denotes the Laplace operator with Dirichlet boundary condition in L(2)(Omega). We study the damped wave problem {u(tt) + au(t) + Au - f(u), t > 0, u(0) = u(0) is an element of H(0)(1)(Omega), u(t)(0) = v(0) is an element of L(2)(Omega), where f : R -> R is a continuously differentiable function satisfying the growth condition vertical bar f(s) - f (t)vertical bar <= C vertical bar s - t vertical bar(1 + vertical bar s vertical bar(rho-1) + vertical bar t vertical bar(rho-1)), 1 < rho < (N - 2)/(N + 2), (N >= 3), and the dissipativeness condition limsup(vertical bar s vertical bar ->infinity) s/f(s) < lambda(1) with lambda(1) being the first eigenvalue of A. We construct the global weak solutions of this problem as the limits as eta -> 0(+) of the solutions of wave equations involving the strong damping term 2 eta A(1/2)u with eta > 0. We define a subclass LS subset of C ([0, infinity), L(2)(Omega) x H(-1)(Omega)) boolean AND L(infinity)([0, infinity), H(0)(1)(Omega) x L(2)(Omega)) of the `limit` solutions such that through each initial condition from H(0)(1)(Omega) x L(2)(Omega) passes at least one solution of the class LS. We show that the class LS has bounded dissipativeness property in H(0)(1)(Omega) x L(2)(Omega) and we construct a closed bounded invariant subset A of H(0)(1)(Omega) x L(2)(Omega), which is weakly compact in H(0)(1)(Omega) x L(2)(Omega) and compact in H({I})(s)(Omega) x H(s-1)(Omega), s is an element of [0, 1). Furthermore A attracts bounded subsets of H(0)(1)(Omega) x L(2)(Omega) in H({I})(s)(Omega) x H(s-1)(Omega), for each s is an element of [0, 1). For N = 3, 4, 5 we also prove a local uniqueness result for the case of smooth initial data.

THE IMPLICIT FUNCTION THEOREM FOR CONTINUOUS FUNCTIONS

In the present paper we obtain a new homological version of the implicit function theorem and some versions of the Darboux theorem. Such results are proved for continuous maps on topological manifolds. As a consequence. some versions of these classic theorems are proved when we consider differenciable (not necessarily C-1) maps.

Percolation in a network with long-range connections: Implications for cytoskeletal structure and function

Cell shape, signaling, and integrity depend on cytoskeletal organization. In this study we describe the cytoskeleton as a simple network of filamentary proteins (links) anchored by complex protein structures (nodes). The structure of this network is regulated by a distance-dependent probability of link formation as P = p/d(s), where p regulates the network density and s controls how fast the probability for link formation decays with node distance (d). It was previously shown that the regulation of the link lengths is crucial for the mechanical behavior of the cells. Here we examined the ability of the two-dimensional network to percolate (i.e. to have end-to-end connectivity), and found that the percolation threshold depends strongly on s. The system undergoes a transition around s = 2. The percolation threshold of networks with s < 2 decreases with increasing system size L, while the percolation threshold for networks with s > 2 converges to a finite value. We speculate that s < 2 may represent a condition in which cells can accommodate deformation while still preserving their mechanical integrity. Additionally, we measured the length distribution of F-actin filaments from publicly available images of a variety of cell types. In agreement with model predictions, cells originating from more deformable tissues show longer F-actin cytoskeletal filaments. (C) 2008 Elsevier B.V. All rights reserved.

Longitudinal scaling property of the charge balance function in Au plus Au collisions at root s(NN)=200 GeV

We present measurements of the charge balance function, from the charged particles, for diverse pseudorapidity and transverse momentum ranges in Au + Au collisions at root S(NN) = 200 GeV using the STAR detector at RHIC. We observe that the balance function is boost-invariant within the pseudorapidity coverage vertical bar-1.3, 1.3 vertical bar. The balance function properly scaled by the width of the observed pseudorapidity window does not depend on the position or size of the pseudorapidity window. This scaling property also holds for particles in different transverse momentum ranges. In addition, we find that the width of the balance function decreases monotonically with increasing transverse momentum for all centrality classes. (c) 2010 Elsevier B.V. All rights reserved.

Renal ischemia in rats: Mitochondria function and laser autofluorescence

Ischemia-reperfusion injury is the major cause of organ dysfunction or even nonfunction following transplantation. It can attenuate the long-term survival of transplanted organs. To evaluate the severity of renal ischemia injury determined by histology, we applied laser(442 nm and 532 nm) induced fluorescence (LIF), mitochondria respiration, and membrane swelling to evaluate 28 Wistar rats that underwent left kidney warm ischemia for 20, 40, 60, or 80 minutes. LIF performed before ischemia (control) was repeated at 20, 40, 60, and 80 minutes thereafter. We harvested left kidney tissue samples immediately after LIF determination for histology and mitochondrial analyses: state 3 and 4 respiration, respiration control rate (RCR), and membrane swelling. The association of optic spectroscopy with histological damage showed: LIF, 442 nm (r(2) = 0.39, P < .001) and 532 nm, (r(2) = 0.18, P = .003); reflecting laser/fluorescence-induced, 442 nm (r(2) = 0.20, P = .002) and 532 nm (r(2) = 0.004, P = .67). The associations between mitochondria function and tissue damage were: state 3 respiration (r(2) = 0.43, P = .0004), state 4 respiration (r(2) = 0.03, P = 0.38), RCR (r(2) = 0.28, P = .007), and membrane swelling (r(2) = 0.02, P = .43). The intensity of fluorescence emitted by tissue excited by laser, especially at a wave length of 442 nm, was determined in real time. Mitochondrial state 3 respiration and respiratory control ratio also exhibited good correlations with the grade of ischemic tissue damage.

Electrochemical behavior of the cistein and diphosfonate for stainless steel in media of HCl 1 mol L(-1)

Amino acids and self assembled monolayers (SAM`s) have been studied as to their inhibiting action on the corrosion of metallic materials. The objective of work is to study the electrochemical behavior of the cisteincisteine, the diphosfonate and the mixture of both in inhibiting the action of corrosion on stainless steel 304 in HCl 1 molL(-1). As the following techniques were used: open circuit potential (OCP), potenciostatic anodic polarization (A P), chronoamperomeny (CA), electrochemical impedance spectroscopy (EIS) and optical microscopy (OM). The results of CA showed that cisteine has a double effect, catalytic and inhibiting, in function of the immersion time of the metallic part in the electrolytic solution. AP curves have shown lesser current density for the system containing cisteine diphosfonate suggesting an inhibiting synergic action. These results have been confirmed by EIS and OM.

Fragmented messages : a reading of L.P. Hartley's novel The go-between

A intenção deste trabalho é efetuar uma leitura do romance O Mensageiro, do autor inglês L.P. Hartley, na forma de uma jornada ao país estrangeiro do passado do protagonista-narrador. Tal leitura é uma espécie de convite aceito para a viagem, que esteticamente deixa sugestões sob a forma de truques, fragmentos de mensagens veladas, expressões ambíguas, sombras, vazios no caminho. Todavia, Mercúrio, o mensageiro dos antigos deuses, o protetor dos viajantes, o trapaceiro, é agora um ser indistinto, cuja imagem e função passou por grandes transformações ao longo da viagem até a modernidade. Guerras, restos de experiências traumáticas coletivas e pessoais são recuperadas na rota movediça do narrador melancólico, sob a forma de substância própria para a narração. Nietzsche e Walter Benjamin são companheiros na trajetória, provendo o suporte teórico básico para a viagem.

Transfer function-noise modeling and spatial interpolation to evaluate the risk of extreme (shallow) water-table levels in the Brazilian Cerrados

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Effects of 15d-PGJ(2)-loaded poly(D,L-lactide-co-glycolide) nanocapsules on inflammation

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

Burrows with Chimneys of the Fiddler Crab Uca thayeri: Construction, Occurrence, and Function

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

Dynamics of some limnological characteristics in pacu (Piaractus mesopotamicus) culture tanks as function of handling

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

Impacto de inimigos naturais e de fatores meteorológicos sobre uma população de Brevicoryne brassicae (L.) (Hemiptera: Aphididae) em couve

Neste estudo, visou-se avaliar o impacto de inimigos naturais e de fatores meteorológicos na população do pulgão Brevicoryne brassicae (L.), na cultura da couve, usando-se correlação simples e análise de regressão múltipla com seleção de variáveis pelo método stepwise. A amostragem de B. brassicae foi realizada por procura visual e dos inimigos naturais através de armadilhas de sucção e de solo. Formas ápteras de B. brassicae começaram a infestar a couve em julho, atingindo pico populacional em setembro. Os fatores que apresentaram correlação significativa com a população de B. brassicae, no período que abrangeu todo o levantamento populacional, foram Diaeretiella rapae (Mc'Intosh), aranhas presentes no solo, precipitação pluviométrica e umidade relativa, sugerindo que tais fatores tiveram função importante na mortalidade do pulgão. No período de maior crescimento e declínio populacional de B. brassicae, aranhas presentes no solo mostraram-se como o fator de mortalidade mais significativo relacionado com a variação da densidade populacional do pulgão.

Lima beans production and economic revenue as function of organic and mineral fertilization

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Qualidade de melão rendilhado (Cucumis melo L.) em função do sistema de cultivo

Objetivou-se com este trabalho avaliar a qualidade de frutos de cinco cultivares de melão rendilhado (Cucumis melo L.), cultivados em casa de vegetação, em função do sistema de produção. O experimento foi instalado em casa de vegetação na UNESP-FCAV, Jaboticabal-SP, no período de novembro de 2005 à fevereiro de 2006. O experimento foi delineado em esquema fatorial 5 X 2, em blocos casualizados com quatro repetições. Os tratamentos resultaram da combinação de cinco híbridos de melão rendilhado: Maxim, Bônus 2, Shinju 200, Fantasy e Louis e dois sistemas de cultivo: no solo e em substrato de fibra da casca de coco. As características avaliadas foram: massa fresca do fruto, espessura de mesocarpo, intensidade de rendilhamento da casca, pH, sólidos solúveis totais, acidez titulável, índice de maturação (RATIO), e vitamina C. Não houve interação significativa entre os sistemas de cultivo e cultivares para nenhuma das características avaliadas. O cultivo de melão em substrato resultou em frutos com qualidade superior ao cultivo em solo. Os híbridos Louis e Fantasy foram os que apresentaram melhor desempenho qualitativo de frutos.

Development of mint (Mentha piperita L.) grown on biosolids: evaluation of productivity and essential oil content

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)