Thesis (M.S.)--State University of New York, Brockport, 2002. / Includes bibliographical references (leaves 45-49).

RODRIGUES, Jamires Ximenes. Superfícies orientáveis. 2017. 64 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2017. / Submitted by Jessyca Silva (jessyca@mat.ufc.br) on 2017-09-06T19:45:45Z No. of bitstreams: 1 2017_dis_jxrodrigues.pdf: 1541911 bytes, checksum: 16ceb535d5195a8d469a18be46c393d6 (MD5) / Rejected by Rocilda Sales (rocilda@ufc.br), reason: Bom dia, Estou devolvendo a dissertação de JAMIRES XIMENES RODRIGUES, pois há alguns elementos do texto que precisão ser alterados: 1- FICHA CATALOGRÁFICA ( está faltando a ficha catalográfica do trabalho, a mesma poderá ser elaborada no sistema CATALOG, no endereço eletrônico: http://fichacatalografica.ufc.br/ OBS.: a página em PDF com a ficha catalográfica deverá ser inserida antes da folha de aprovação. 2- REFERÊNCIAS e BIBLIOGRAFIA ( as referências a autores no interior do trabalho e a listagem bibliografica não estão de acordo com o padrão ABNT: No interior do texto, uma das formas de fazer referência a um autor é colocar o último sobrenome do mesmo e o ano da publicação. Ex: Lima (2010), e não Carmo [2] ou apenas um número aleatório, Ex: [8]. Além disso a listagem da Bibliografia não deve estar numerada, de acordo com o padrão ABNT. Assim retire a numeração progressiva da bibliografia e utilize outro meio para associar o link às referências no interior do texto. Atenciosamente, on 2017-09-08T11:47:07Z (GMT) / Submitted by Jessyca Silva (jessyca@mat.ufc.br) on 2017-09-11T14:42:21Z No. of bitstreams: 1 2017_dis_jxrodrigues.pdf: 1544364 bytes, checksum: dae77589d6bbe5a94020860940a57c83 (MD5) / Approved for entry into archive by Rocilda Sales (rocilda@ufc.br) on 2017-09-11T15:28:53Z (GMT) No. of bitstreams: 1 2017_dis_jxrodrigues.pdf: 1544364 bytes, checksum: dae77589d6bbe5a94020860940a57c83 (MD5) / Made available in DSpace on 2017-09-11T15:28:53Z (GMT). No. of bitstreams: 1 2017_dis_jxrodrigues.pdf: 1544364 bytes, checksum: dae77589d6bbe5a94020860940a57c83 (MD5) Previous issue date: 2017 / This work aims to present the concept of surfaces in Euclidean space and to present examples, starting from simpler cases as two-dimensional surfaces in R3, to general cases of m-dimensional surfaces in Rn. It is an introduction to the differential geometry of surfaces and of fundamental importance in the study of differentiable manifolds. The purpose is to prepare the reader for a connection with Riemannian geometry, an indispensable subject for masters and doctoral students in Mathematics. For a satisfactory understanding of this work it is necessary to be familiar with concepts of multivariable calculus and basic concepts of linear algebra. In addition, the present study presents the notion of orientable surface and non-orientable surface, presenting examples of each of these types of surfaces. / Esse trabalho tem como objetivo apresentar o conceito de superfícies no espaço euclidiano e apresentar exemplos, partindo de casos mais simples como superfícies bidimensionais em R3, a casos gerais de superfícies m-dimensionais em Rn. Trata-se de uma introdução à geometria diferencial de superfícies e de fundamental importância no estudo das variedades diferenciáveis. O propósito é preparar o leitor para uma conexão com a geometria riemanniana, estudo indispensável para alunos de mestrado e doutorado em matemática. Para um entendimento satisfatório desse trabalho é necessário estar familiarizado com conceitos de cálculo de várias variáveis e conceitos básicos de álgebra linear. Além disso, o presente estudo apresenta a noção de superfície orientável e superfície não orientável, apresentando exemplos de cada um desses tipos de superfícies.

Dans cette thèse nous étudions deux problèmes. Le premier est la non-existence de pointsrationnels non spéciaux sur des quotients d’Atkin-Lehner de courbes de Shimura. Le se-cond est l’absence de surfaces abéliennes rationnelles à multiplication potentiellementquaternioniques munies d’une structure de niveau. Ces deux problèmes sont liés car unesurface abélienne rationnelle simple à multiplication potentiellement quaternionique cor-respond à un point rationnel non spécial sur un certain quotient d’Atkin-Lehner de courbede Shimura.Dans une première partie nous expliquons comment vérifier un critère de Parent etYafaev en grande généralité pour prouver que dans les conditions du cas non ramifié deOgg, et si p est assez grand par rapport à q, alors le quotient X^pq/w_q n’a pas de pointrationnel non spécial.Dans une seconde partie nous déterminons une borne effective pour les structures deniveaux possibles pour une surface abélienne rationnelle acquérant sur un corps quadra-tique imaginaire fixé multiplication par un ordre fixé dans une algèbre de quaternions. / In this thesis we study two problems. The first one is the non-existence of rational non-special points on Atkin-Lehner quotients of Shimura curves. The second one is the absence of rational abelian surfaces with potential quaternionique multiplication endowed with a level structure. These two problems are linked because a simple rational abelian surface with potential quaternionique multiplication is associated to a rational non-special point on an Atkin-Lehner quotients of Shimura curve. In a first part of our work we explain how to verify in wide generality a criterium of Parent and Yafaev in order to prove that in the conditions of Ogg's non ramified case, and if $p$ is big enough compared two $q$, then the quotient $X^{pq}/w_q$ has no non-special rational point. In a second part we determine an effective born for possible level structures on rational abelian surfaces having, over a fixed quadratic field, multiplication by a fixed order in a quaternion algebra

Le contact unilatéral entre deux surfaces est un phénomène omniprésent en physique, en mécanique et en génie civil. Une surface nominalement lisse à l’échelle macroscopique est en réalité rugueuse à l’échelle microscopique. La présence de rugosités modifie considérablement la distribution des contraintes et le champ des déformations au voisinage des surfaces en contact. La prise en compte de rugosités surfaciques à l’échelle microscopique constitue souvent une clé pour appréhender et modéliser un grand nombre de phénomènes d’interface/surface observés à l’échelle macroscopique, tels que le frottement, l’adhésion, l’usure et la conductivité thermique ou électrique. Ce travail de thèse porte sur le contact unilatéral de deux demi-espaces dont les surfaces sont périodiquement rugueuses. Dans la première partie du travail où les deux demi-espaces sont constitués de deux matériaux linéairement élastiques, une approche numérique simple et efficace est proposée et élaborée en se basant sur la méthode des éléments de frontière et la méthode d’inversion matricielle et en exploitant la périodicité du problème en question. Cette approche numérique est d’abord comparée avec et validée par des résultats analytiques et ensuite appliquée à plusieurs cas d’intérêt pratique. Dans les deuxième et troisième parties du travail, l’approche numérique proposée dans le cas élastique est étendue aux cas où les demi-espaces sont formés de matériaux d’abord linéairement thermoélastiques et ensuite linéairement viscoélastiques. Des résultats analytiques existants dans ces deux cas sont utilisés comme benchmarks pour tester la précision et l’efficacité des approches résultantes. Des exemples numériques sont donnés pour mettre en évidence des phénomènes physiques / Unilateral contact between two surfaces is a phenomenon often present in physics, mechanics and civil engineering. A nominally smooth surface on a macroscopic scale is actually rough on the microscopic scale. The presence of surficial roughness considerably modifies the stress distribution and the strain field in the vicinity of the surfaces in contact. Consideration of surficial roughness at the microscopic scale is often a key to understanding and modeling a large number of macroscopic interface/surface phenomena such as friction, adhesion, wear and thermal or electrical conduction. This work focuses on the unilateral contact of two half-spaces whose surfaces are periodically rough. In the first part of the work where the two half-spaces consist of two linearly elastic materials, a simple and efficient numerical approach is proposed and elaborated on the basis of the boundary element method and the matrix inversion method and by exploiting the periodicity of the problem in question. This numerical approach is first compared with and validated by available analytical results and then applied to several cases of practical interest. In the second and third parts of the work, the numerical approach proposed in the elastic case is extended to cases where the half-spaces are formed of materials that are first linearly thermoelastic and then linearly viscoelastic. Some existing analytical results in these two cases are used as benchmarks to test the accuracy and efficiency of the resulting approaches. Numerical examples are given to bring out some physical phenomena

L'énergie nucléaire est l’un des moteurs de notre société moderne et, malgré des controverses, est considérée comme la forme d'énergie la plus efficace et la plus écologique. Néanmoins, elle est également à l'origine de nombreuses craintes : de part les déchets fortement radiotoxiques produits par les réacteurs et aussi les risques éventuels d’accidents nucléaires qui posent, sur la santé publique et l'environnement, de graves problèmes. Dans ce contexte, l'objectif de ce projet était de proposer de nouveaux matériaux innovants, capables de piéger efficacement les radionucléides dans les milieux aqueux contaminés. Un nouveau polymère est décrit et a été synthétisé à la fois en solution en utilisant la polymérisation radicalaire contrôlée de type Cu0-CRP mais également à partir de différents substrats comme le PET et le PVC, ce dernier s’étant révélé le plus efficace. Ces nouveaux matériaux ont ensuite été testés et se sont avérés très performants dans le piégeage de l'uranium et de nombreux lanthanides dans l'eau. Ces résultats ont de nombreuses applications potentielles dans l'industrie nucléaire. Ils peuvent être utilisés pour récupérer l'uranium de l'eau de mer comme une future source d'énergie renouvelable. Ils peuvent également contribuer à l'industrie de la gestion des déchets nucléaires, en permettant d’extraire les actinides et/ou lanthanides des effluents radioactifs. En plus, ces matériaux sont prometteurs dans le domaine du traitement des eaux radio-contaminées et la radiodétoxification des organismes vivants, y compris les humains. / Nuclear energy is the true engine of our modern day society and seen as the most efficient and clean form of energy. At the same time, it is the source of many concerns, with its highly radiotoxic waste produced by nuclear reactors and the public health and environmental risks that follow nuclear accidents. In this context, the aim of this project was to come up with new innovative materials, capable of efficiently trap radionuclides in contaminated aqueous media. A new polymer is reported and synthesized in solution as a free polymer, using the easy, cheap and fast metallic copper-mediated controlled radical polymerization (Cu0-CRP). The new polymer was also built from different substrates like PET and PVC, the latter being the most efficient. These new materials were later put to test and proved to be highly performing in trapping uranium and many lanthanides in water. These results have many implications in the nuclear industry. They can be used to harvest uranium from seawater as a future renewable energy source. They can also help the nuclear waste management industry. They are also a potential candidate for treating radio-contaminated environments and for radiodetoxification of living species, including humans.

This work is concerned with computing the invariant lattices of purely non-symplectic automorphisms of special elliptic K3 surfaces. Brandhorst gave a collection of K3 surfaces admitting purely non-symplectic automorphisms that are uniquely determined up to isomorphism by certain invariants. For many of these surfaces, the automorphism is also unique or the automorphism group of the surface is finite and with a nice isomorphism class. Understanding the invariant lattices of these automorphisms and surfaces is interesting because of these uniqueness properties and because it is possible to give explicit generators for the Picard and invariant lattices. We use the methods given by Comparin, Priddis and Sarti to describe the Picard lattice in terms of certain special curves from the elliptic fibration of the surface. We use symmetries of the Picard lattice and fixed-point theory to compute the invariant lattices explicitly. This is done for all of Brandhorst's elliptic K3 surfaces having trivial Mordell-Weil group.

Le 20ème siècle a vu le recul des maladies infectieuses grâce aux antibiotiques. Cependant leur importante utilisation a rendu certaines bactéries, comme Staphylococcus aureus ou Pseudomonas aeruginosa (multi)résistantes. Un des moyens de lutte est de réduire la consommation d’antibiotiques ou de cibler ceux qui seront actif sur une souche identifiée. Nous souhaitons développer des surfaces et des dispositifs sensibles pour la détection précoce, rapide de bactéries pathogènes dans des fluides. Cela permettra de limiter la contamination et donc l’usage de médicaments. Ce projet regroupe 3 partenaires qui travaillent en synergie en mettant à profit leur expertise en physico-chimie, chimie de synthèse et microbiologie. Des nano-objets fluorescents, biocompatibles, et sensibles à la croissance bactérienne seront immobilisés sur des surfaces de verre. Ils seront rendus sélectifs de bactéries pathogènes par des traitements post-synthétiques. Il s’agit in fine de mettre au point un dispositif de détection miniaturisé et de tester la résistance aux antibiotiques des pathogènes détectés. / Infectious diseases have recessed during the 20th century thanks to antibiotics. However, some bacterial strains like Staphylococcus aureus or Pseudomonas aeruginosa have become (multi)resistant to antibiotic treatments because of overuse. One way to combat this is to reduce consumption of drugs or to better target those that will eliminate a given strain. We wish to develop sensitive surfaces and devices for the early and rapid detection of pathogenic bacteria in fluids. They will help limit contaminations and the use of drugs. The project gathers 3 partners working in synergy because they combine expertise in physical-chemistry, synthetic chemistry and microbiology. Fluorescent nanoobjects that are biocompatible and sensitive to bacterial growth will be immobilized on glass surfaces. They will be selective for pathogenic bacteria by post-synthetic modifications. The final goal is to build miniaturized sensitive devices that can detect pathogens and further test their resistance to antibiotics.

No

A surface pretreatment for aluminum and titanium involving the reaction of phosphonic acid (RPO(OH)2), R=butyl or vinyl for aluminum and R=vinyl for titanium, has been investigated. The durability of phosphonic acid-pretreated samples was compared with that for P2-etched (ferric sulfate-sulfuric acid) adherends. Samples were bonded with LaRC-IA adhesive in a wedge test geometry. Environmental testing consisted of static and cyclical exposure for 240 hours in three atmospheres: 1) 170°C, 2 torr; 2) -20°C; 3) 60°C, 70% relative humidity. Crack propagation arrested within 48 hours. The order of durability in static environmental tests for aluminum was vinyl phosphonic acid > P2 > butyl phosphonic acid. The durability performance was reversed for cyclic testing. The durability of specimens using P2-etched titanium was superior to that for vinyl phosphonic acid-treated titanium in all environmental tests. / Master of Science

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