Ce travail de thèse est constitué de l'étude de deux problèmes inverses associés à des équations paraboliques à coefficients périodiques. Dans la première partie, on a considéré une équation parabolique à coefficients et condition initiale périodiques. Notre travail a consisté à aborder le cas de coefficient à régularité faible et à minimiser les contraintes d'observations requises pour établir notre résultat de reconstruction du potentiel. On a commencé par établir un résultat d'existence et d'unicité de la solution dans un espace d'énergie adéquat. Ensuite, on a énoncé un principe du maximum adapté aux hypothèses du problème étudié et on a travaillé avec des coefficients mesurables et bornés. Enfin, on a reconstruit le potentiel en établissant une inégalité de Carleman. Le résultat d'identification a été obtenu via une inégalité de stabilité de type Lipschitz. Dans le second travail, on s'est intéressé à la détermination d'un coefficient périodique en espace du terme de réaction dans une équation de réaction-diffusion définie dans l'espace entier $mathbb{R}$. On établit un résultat d'unicité en utilisant un nouveau type d'observations. La nature du problème étudié, posé dans l'espace $mathbb{R}$, nous a permis d'utiliser la notion de vitesse asymptotique de propagation. On a prouvé l'existence de cette vitesse et on l'a caractérisé. On a surdéterminé le problème inverse en choisissant une famille de conditions initiales à décroi-ssance exponentielle. Notre principal résultat est que ce coefficient est déterminé de façon unique, à une symétrie près, par l'observation d'un continuum de vitesses asymptotiques de propagation. / This thesis consists in the study of two problems associated to inverse para-bolic equations with periodic coefficients. We are interested in identifying one coefficient by using two different methods. In the first part, we consider a parabolic equation with periodic coefficients and periodic initial condition. Our work consists to consider the case of coefficient with weak regularity and to minimize the constraints of observations which are required to establish our reconstruction result. We establish a result of existence and uniqueness of the solution in adequate energy space. Then we prove a maximum principle adapted to the hypothesis of the problem studied and we work with measurable and bounded coefficients. Finally, we reconstruct the potential by establishing a Carleman estimate. The identification result was achieved via an inequality of stability. In the second work, we are interested to determine a periodic coefficient of the reaction term defined in the whole space $mathbb{R}$. We establish a uniqueness result by using a new type of observations. The nature of the studied problem allowed us to use the notion of asymptotic speed of propagation. We prove the existence of this speed and we give its characterization. We overdetermin the inverse problem by choosing a family of initial conditions exponentially decaying. Our main result is that the coefficient is uniquely determined up to a symmetry, by the observation of a continuum of asymptotic speed of propagation.

Ce travail constitue une approche innovante mettant en complémentarité diverses techniques de caractérisation physicochimique, électrique et structurale. Menées sur un polymère époxyde, ces études ont pour principal objectif la compréhension des phénomènes et propriétés diélectriques associés aux charges d’espace, ainsi que le suivi de leur évolution dans le temps ou suite à l’application de contraintes extérieures. Les mesures de spectroscopie d’impédance et de courant de dépolarisation thermo-stimulé (CDTS), ont mis en évidence des processus de relaxations dipolaires et interfaciales. L’origine de ces phénomènes a pu être expliquée à partir des analyses physico-chimiques et structurales. Tout d’abord à l’aide des mesures de fluorescence X qui ont révélé la présence de deux types d’impuretés, pouvant créer des états énergétiques plus ou moins profonds dans la bande interdite. Ensuite, par des mesures en réflectométrie X qui ont mis en évidence plusieurs structures ordonnées au sein d’une matrice amorphe. Cette hétérogénéité structurale explique les mécanismes de piégeage et d’accumulation des charges d’espaces aux interfaces. De même, l’ordre local favorisant la mobilité des charges, ces résultats donnent une première réponse quant à la valeur relativement élevée de la conductivité électrique du polymère, telle qu’elle a pu être déterminée à partir des mesures des caractéristiques courant-tension. Des études de vieillissement accéléré ont également été menées. Les différents recuits appliqués ont contribué à la création de charges qui sont piégées dans des niveaux énergétiques de plus en plus profonds. Cela s’est traduit par une diminution de la quantité de charges qui relaxent par activation thermique ainsi que par une diminution de la conductivité électrique des échantillons. Ces changements de propriétés électriques ont été corrélés aux changements structuraux qui se sont produits au sein du polymère, et dont la principale manifestation est la disparition progressive des structures ordonnées. Cette disparition de l’ordre local a aussi été observée en l’absence de contraintes thermiques (vieillissement naturel), où il a été montré que le comportement superficiel et en volume des échantillons n’était pas identique. / This work constitutes an innovative approach in epoxy based polymer characterization, where complementary physico-chemical, electric and structural techniques are used. The main objective of these studies is to understand both dielectric phenomena and properties associated to the space charges, as well as to follow-up their evolution in time or after the application of external constraints.Impedance spectroscopy and thermo-stimulated depolarization current (TSDC), measurements have highlighted dipolar and interfacial relaxations processes. Origin of these phenomena has been explained from physico-chemical and structural analyses. First, X-ray fluorescence measurements revealed the presence of two types of impurities, which are able to create deep energetic levels in the forbidden energy band. Then, X ray reflectometry measurements highlighted several periodic structures within an amorphous matrix. This structural heterogeneity explains the mechanisms of trapping and accumulation of space charges at the interfaces and gives a first reply as for the relatively high value of the polymer electric conductivity, calculated from current-voltage measurements.Accelerated ageing studies have been also carried out. They have shown that annealing creates charges which are trapped in increasingly deep energetic levels. Consequently, both the quantity of released charges and annealed samples conductivities have decreased.These electric properties changes have been correlated with the structural changes occurring within the polymer, and whose principal manifestation is the progressive disappearance of the ordered structures. This disappearance of the local periodicity has also been observed in the absence of thermal constraints (natural ageing), where it was shown that samples surface’s behavior is different from the bulk.

Made available in DSpace on 2016-04-27T16:57:34Z (GMT). No. of bitstreams: 1 Ricardo Ferreira dos Santos.pdf: 3136122 bytes, checksum: e26236b0fe2ca0324d70372150107eea (MD5) Previous issue date: 2014-11-13 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / This research forms part of the studies for the use of Mathematical Modeling as a teaching strategy. In her a modeling activity for teaching the sine function is presented. The research had two main objectives: to analyze the effects of mathematical modeling in high school in order to achieve meaningful learning; and evaluate a proposed approach for modeling, through stages and phases. In this second case it was intended to verify that the protoganismo teacher in presenting the phenomenon preserves the desired features of modeling, increase students' interest in mathematics and motivates you to construct new knowledge. The subjects were fifteen students of the second year of high school to a public school in Sao Paulo, with voluntary participation. This is a qualitative research, developed through participant observation. The model used is shown in Curriculum Proposal of the State of São Paulo. The research is guided by conceptions of modeling Beltrão (2009), Bassanezi (2006) and Ausubel learning theory. The activities were developed using as anchor metric relations in right triangle, the coordinates of points on the Cartesian plane and the study of angles in the trigonometric circle. As a result it can be concluded that modeling can be used in basic education such as teaching methodology, brings results for student participation in the construction of their knowledge, but it is not an easy task because it requires changes in teacher pedagogical practice and student to have to take a participatory attitude. The approach of steps and phases was facilitator / Esta pesquisa se insere nos estudos de utilização da Modelagem Matemática como estratégia de ensino. Nela é apresentada uma atividade de modelagem para o ensino da função seno. A pesquisa teve dois objetivos principais: analisar os efeitos de uma modelagem matemática no Ensino Médio com vistas à alcançar uma aprendizagem significativa; e avaliar uma proposta de abordagem para a modelagem, por meio de etapas e fases. Nesse segundo caso pretendeu-se verificar se o protoganismo do professor na apresentação do fenômeno preserva as desejadas características da modelagem, ampliar o interesse dos alunos pela Matemática e motivá-los para a construção de um conhecimento novo. Os sujeitos da pesquisa foram quinze alunos do segundo ano do Ensino Médio de uma escola pública de São Paulo, com participação voluntária. A pesquisa é de natureza qualitativa, desenvolvida por meio da observação participante. O modelo utilizado é o apresentado na Proposta Curricular do Estado de São Paulo. A pesquisa norteia-se nas concepções de modelagem de Beltrão (2009), Bassanezi (2006) e na teoria de aprendizagem de Ausubel. As atividades foram desenvolvidas utilizando como âncora as relações métricas no triângulo retângulo, as coordenadas de pontos no plano cartesiano e o estudo de ângulos na circunferência trigonométrica. Como resultado pode-se concluir que a modelagem pode ser utilizada na Educação Básica como metodologia de ensino, traz resultados para a participação dos alunos na construção de seus conhecimentos, porém não é tarefa fácil, pois exige do professor mudanças em sua prática pedagógica e do aluno por ter que assumir uma atitude participativa. A abordagem de etapas e fases foi facilitadora

O presente trabalho pretende estudar a rev1sao constitucional periódica estabelecida na Constitu ição da República Portuguesa de 1976 como ferramenta de aprimoramento institucional, vislumbrando a sua adequação ao ordenamento constitucional brasileiro. Inicialmente, resgatam-se os conceitos ligados ao poder reformador para depois estabelecer a trad ição histórica da reforma constitucional em Portugal, traçando um paralelo comparativo com o procedimento de alteração constitucional adotado no Brasil. Para tanto, foi necessária a análise do instituto da revisão constitucional portuguesa , explicitando, em especial, a periodicidade revisional, para verificar, através da experiência lus itana, a eficácia do instituto em questão. Por fim, apresenta-se a revisão constitucional periódica como instrumento apto para gerar estabilidade constitucional aliado a sua capacidade de oportunizar periodicamente o aprimoramento das institu ições do Estado. / This study aims to investigate the periodic constitutional review established as an institutional improvement tool in the Portuguese Constitution of 1976, setting a sight on its adequacy concerning the Brazilian constitutional order. This research recovers the concepts related to the reforming power in order to establish the historical tradition of the constitutional reform in Portugal, drawing a comparison with the constitutional amendment procedure adopted in Brazil. Therefore, the analysis of the Portugues.e lnstitute of constitutional review was necessary to particularly explain the reviewing periodicity in order to verify the effectiveness of the institute through the Portuguese experience. Finally, this study presents the periodic constitutional review as an effective means to generate constitutional stability together with its facility to periodically provide the opportunity for improvement of the national institutions.

In this thesis / general feature selection methods and especially the use of periodicity and aperiodicity information in speaker verification task is searched. A software system is constructed to obtain periodicity and aperiodicity information from speech. Periodicity and aperiodicity information is obtained by using a 16 channel filterbank and analyzing channel outputs frame by frame according to the pitch of that frame. Pitch value of a frame is also found by using periodicity algorithms. Parzen window (kernel density estimation) is used to represent each person&rsquo / s selected phoneme. Constructed method is tested for different phonemes in order to find out its usability in different phonemes. Periodicity features are also used with MFCC features to find out their contribution to speaker identification problem.

In this thesis, first a higher order dynamic theory for anisotropic thermoelastic plates is developed. Then, based on this plate theory, two dynamic models, discrete and continuum models (DM and CM), are proposed for layered composites consisting of anisotropic thermoelastic layers. Of the two models, CM is more important, which is established in the study of periodic layered composites using smoothing operations. CM has the properties: it contains inherently the interface and Floquet conditions and facilitates the analysis of the composite, in particular, when the number of laminae in the composite is large / it contains all kinds of deformation modes of the layered composite / its validity range for frequencies and wave numbers may be enlarged by increasing, respectively, the orders of the theory and interface conditions. CM is assessed by comparing its prediction with the exact for the spectra of harmonic waves propagating in various directions of a two-phase periodic layered composite, as well as, for transient dynamic response of a composite slab induced by waves propagating perpendicular to layering. A good comparison is observed in the results and it is found that the model predicts very well the periodic structure of spectra with passing and stopping bands for harmonic waves propagating perpendicular to layering. In view of the results, the physical significance of Floquet wave number is also discussed in the study.

Thesis (M.Sc.) Uppsala : Sveriges lantbruksuniv.

Determinadas espécies arbóreas apresentam ciclos anuais de crescimento e dormência, registrados no lenho por conspícuas estruturas anatômicas – os anéis de crescimento. Nessas árvores pode-se determinar a idade e taxas de crescimento, com resolução calendária anual, através da análise temporal dos anéis de crescimento (dendrocronologia), bem como estudar a variação dessas estruturas segundo as condições ambientais (dendroecologia). Pesquisas recentes têm descrito anéis de crescimento anuais num grande número de espécies tropicais e subtropicais. A exemplo do que ocorre em zonas temperadas e áridas, o desenvolvimento da dendroecologia pode contribuir substancialmente ao conhecimento da dinâmica do clima e da vegetação em ecossistemas tropicais e subtropicais. Nesta tese eu reviso e desenvolvo estudos dendroecológicos em biomas brasileiros, principalmente, em ecossistemas subtropicais montanos, visando solidificar a dendroecologia no país. Segundo ampla revisão bibliográfica, estudos relacionados à dendroecologia nos biomas brasileiros, em sua maioria, versam sobre a anatomia e periodicidade de formação de anéis de crescimento na flora; poucos efetivamente relacionam séries anuais de anéis de crescimento com variações do ambiente. As pesquisas estão concentradas em biomas florestais, notadamente na Amazônia. No intuito de facilitar estudos futuros, apresento uma compilação de 124 espécies que formam anéis anuais. Pesquisas inéditas sobre anéis de crescimento em Araucaria angustifolia, espécie típica de formações florestais e campestres em regiões montanas do sul e sudeste do Brasil, comprovam seu potencial dendroecológico. Através de análise da atividade cambial demonstro que esta espécie forma anéis de crescimento anuais, relacionados à variação sazonal de temperatura e fotoperíodo. Estudando séries temporais de largura de anéis de crescimento verifiquei a existência de padrões regionais de crescimento, relacionados à variação interanual do clima, principalmente da temperatura. Regionalmente, A. angustifolia parece sensível a déficit hídrico em Dezembro e Janeiro, bem como responde de forma complexa às condições térmicas em Maio e Junho. Padrões de crescimento divergente entre árvores de campo e de floresta podem estar relacionados ao regime de queimada da vegetação campestre, por sua vez, moderado pela precipitação no mês de ignição de queimadas (Agosto). / Certain tree species present annual cycles of growth and dormancy, imprinted in wood as conspicuous anatomical structures – the growth rings. Temporal analysis of annual growth rings (dendrochronology) allows the determination of tree age and growth rate, with calendar year resolution, and to study long-term relationship between tree-growth and environmental conditions (dendroecology). Recent studies have found annual growth rings in many tropical and subtropical species. As in temperate and arid zones, dendroecological investigations may contribute for understanding the dynamics of climate and vegetation in tropical and subtropical ecosystems. Here, I review and develop dendroecological studies in biomes of Brazil, aiming to support further advances. According to a broad literature review, dendroecological studies in Brazilian Biomes have focused mostly on anatomy and periodicity of growth ring formation; few of them relate growth ring time-series to environmental conditions. The studies are concentrated in forested biomes, noticebly in Amazonia. In order to assist future studies I present a compilation of 124 species that produce annual growth rings. Novel studies on Araucaria angustifolia, a typical conifer growing in forest and grassland ecosystems of south and southeast Brazilian highlands, confirm its dendroecological potential. By means of cambium activity examination I show that this species produces annual growth rings, related to seasonal variations of temperature and photoperiod. Analyses of ring-width time series revealed regional growth patterns related to inter-annual climate variations. In a regional extent, A. angustifolia trees are, probably, sensitive the water deficit in December and January, as well respond to thermal conditions of May and June, in a complex manner. Divergent patterns between grassland and forest trees may be related to grassland fire regimes, moderated by rainfall during the fire ignition period (August).

O presente trabalho pretende estudar a rev1sao constitucional periódica estabelecida na Constitu ição da República Portuguesa de 1976 como ferramenta de aprimoramento institucional, vislumbrando a sua adequação ao ordenamento constitucional brasileiro. Inicialmente, resgatam-se os conceitos ligados ao poder reformador para depois estabelecer a trad ição histórica da reforma constitucional em Portugal, traçando um paralelo comparativo com o procedimento de alteração constitucional adotado no Brasil. Para tanto, foi necessária a análise do instituto da revisão constitucional portuguesa , explicitando, em especial, a periodicidade revisional, para verificar, através da experiência lus itana, a eficácia do instituto em questão. Por fim, apresenta-se a revisão constitucional periódica como instrumento apto para gerar estabilidade constitucional aliado a sua capacidade de oportunizar periodicamente o aprimoramento das institu ições do Estado. / This study aims to investigate the periodic constitutional review established as an institutional improvement tool in the Portuguese Constitution of 1976, setting a sight on its adequacy concerning the Brazilian constitutional order. This research recovers the concepts related to the reforming power in order to establish the historical tradition of the constitutional reform in Portugal, drawing a comparison with the constitutional amendment procedure adopted in Brazil. Therefore, the analysis of the Portugues.e lnstitute of constitutional review was necessary to particularly explain the reviewing periodicity in order to verify the effectiveness of the institute through the Portuguese experience. Finally, this study presents the periodic constitutional review as an effective means to generate constitutional stability together with its facility to periodically provide the opportunity for improvement of the national institutions.

Determinadas espécies arbóreas apresentam ciclos anuais de crescimento e dormência, registrados no lenho por conspícuas estruturas anatômicas – os anéis de crescimento. Nessas árvores pode-se determinar a idade e taxas de crescimento, com resolução calendária anual, através da análise temporal dos anéis de crescimento (dendrocronologia), bem como estudar a variação dessas estruturas segundo as condições ambientais (dendroecologia). Pesquisas recentes têm descrito anéis de crescimento anuais num grande número de espécies tropicais e subtropicais. A exemplo do que ocorre em zonas temperadas e áridas, o desenvolvimento da dendroecologia pode contribuir substancialmente ao conhecimento da dinâmica do clima e da vegetação em ecossistemas tropicais e subtropicais. Nesta tese eu reviso e desenvolvo estudos dendroecológicos em biomas brasileiros, principalmente, em ecossistemas subtropicais montanos, visando solidificar a dendroecologia no país. Segundo ampla revisão bibliográfica, estudos relacionados à dendroecologia nos biomas brasileiros, em sua maioria, versam sobre a anatomia e periodicidade de formação de anéis de crescimento na flora; poucos efetivamente relacionam séries anuais de anéis de crescimento com variações do ambiente. As pesquisas estão concentradas em biomas florestais, notadamente na Amazônia. No intuito de facilitar estudos futuros, apresento uma compilação de 124 espécies que formam anéis anuais. Pesquisas inéditas sobre anéis de crescimento em Araucaria angustifolia, espécie típica de formações florestais e campestres em regiões montanas do sul e sudeste do Brasil, comprovam seu potencial dendroecológico. Através de análise da atividade cambial demonstro que esta espécie forma anéis de crescimento anuais, relacionados à variação sazonal de temperatura e fotoperíodo. Estudando séries temporais de largura de anéis de crescimento verifiquei a existência de padrões regionais de crescimento, relacionados à variação interanual do clima, principalmente da temperatura. Regionalmente, A. angustifolia parece sensível a déficit hídrico em Dezembro e Janeiro, bem como responde de forma complexa às condições térmicas em Maio e Junho. Padrões de crescimento divergente entre árvores de campo e de floresta podem estar relacionados ao regime de queimada da vegetação campestre, por sua vez, moderado pela precipitação no mês de ignição de queimadas (Agosto). / Certain tree species present annual cycles of growth and dormancy, imprinted in wood as conspicuous anatomical structures – the growth rings. Temporal analysis of annual growth rings (dendrochronology) allows the determination of tree age and growth rate, with calendar year resolution, and to study long-term relationship between tree-growth and environmental conditions (dendroecology). Recent studies have found annual growth rings in many tropical and subtropical species. As in temperate and arid zones, dendroecological investigations may contribute for understanding the dynamics of climate and vegetation in tropical and subtropical ecosystems. Here, I review and develop dendroecological studies in biomes of Brazil, aiming to support further advances. According to a broad literature review, dendroecological studies in Brazilian Biomes have focused mostly on anatomy and periodicity of growth ring formation; few of them relate growth ring time-series to environmental conditions. The studies are concentrated in forested biomes, noticebly in Amazonia. In order to assist future studies I present a compilation of 124 species that produce annual growth rings. Novel studies on Araucaria angustifolia, a typical conifer growing in forest and grassland ecosystems of south and southeast Brazilian highlands, confirm its dendroecological potential. By means of cambium activity examination I show that this species produces annual growth rings, related to seasonal variations of temperature and photoperiod. Analyses of ring-width time series revealed regional growth patterns related to inter-annual climate variations. In a regional extent, A. angustifolia trees are, probably, sensitive the water deficit in December and January, as well respond to thermal conditions of May and June, in a complex manner. Divergent patterns between grassland and forest trees may be related to grassland fire regimes, moderated by rainfall during the fire ignition period (August).