A Note on Iterations-based Derivations of High-order Homogenization Correctors for Multiscale Semi-linear Elliptic Equations

This Note aims at presenting a simple and efficient procedure to derive the structure of high-order corrector estimates for the homogenization limit applied to a semi-linear elliptic equation posed in perforated domains. Our working technique relies on monotone iterations combined with formal two-scale homogenization asymptotics. It can be adapted to handle more complex scenarios including for instance nonlinearities posed at the boundary of perforations and the vectorial case, when the model equations are coupled only through the nonlinear production terms.

Homogenization of eigenvalue problems in perforated domains

In this paper, we treat some eigenvalue problems in periodically perforated domains and study the asymptotic behaviour of the eigenvalues and the eigenvectors when the number of holes in the domain increases to infinity Using the method of asymptotic expansion, we give explicit formula for the homogenized coefficients and expansion for eigenvalues and eigenvectors. If we denote by ε the size of each hole in the domain, then we obtain the following aysmptotic expansion for the eigenvalues: Dirichlet: λε = ε−2 λ + λ0 +O (ε), Stekloff: λε = ελ1 +O (ε2), Neumann: λε = λ0 + ελ1 +O (ε2).Using the method of energy, we prove a theorem of convergence in each case considered here. We briefly study correctors in the case of Neumann eigenvalue problem.

Impact de l’hyperglycémie et de l’infection sur le transport ionique, la réparation épithéliale et l’action des correcteurs dans les voies aériennes en Fibrose kystique

La Fibrose kystique (FK), causée par des mutations du canal Cl- CFTR, entraîne une dysfonction de la sécrétion de Cl- et un débalancement dans la sécrétion des fluides. La diminution de la clairance mucociliaire qui s’en suit occasionne une accumulation du mucus. Cet environnement est alors favorable à l’installation d’infections et d’inflammation chroniques, responsables de lésions au niveau de l’épithélium respiratoire. Le vieillissement de la population FK, suite à la prise en charge plus appropriée de la maladie, est accompagné par l’émergence de pathologies associées, telles que le diabète. Celui-ci, ainsi que plusieurs autres facteurs comme l’infection à Pseudomonas aeruginosa, contribuent au déclin progressif de la fonction pulmonaire, principale cause de mortalité et de morbidité des patients FK. Le maintien de la fonction pulmonaire est dépendant notamment du transport ionique et liquidien régulant la clairance mucociliaire ainsi que de la réparation épithéliale nécessaire à la génération d’un épithélium fonctionnel en réponse aux agressions. Nous avons donc évalué l’impact de l’hyperglycémie et des exoproduits de P. aeruginosa sur ces deux mécanismes. Nos résultats ont tout d’abord montré qu’un niveau de glucose élevé diminue les courants Cl- CFTR et potassique et altère la réparation de l’épithélium bronchique FK et non FK. Nous avons aussi observé que l’hyperglycémie limite l’impact bénéfique de la correction de CFTR sur la réparation épithéliale. Dans un second temps, nous avons évalué l’impact de l’infection à Pseudomonas aeruginosa sur le CFTR, qui tient un rôle important dans la fonctionnalité de l’épithélium des voies aériennes non-FK. Nous avons noté que l’expression du CFTR ainsi que sa fonction sont réduites par l’exposition aux produits bactériens dans les cellules non-FK. De plus, ces exoproduits compromettent la maturation du CFTR muté par les correcteurs ainsi que leur bénéfice sur la réparation de l’épithélium FK. Finalement, nous avons testé différentes combinaisons de composés correcteurs et potentiateurs de CFTR afin de déterminer quelle stratégie serait la plus efficace afin de favoriser la réparation épithéliale bronchique FK malgré la présence d’infection.

O setor de seguros e o marketing de relacionamento

o grande crescimento do mercado segurador no Brasil trouxe, ao longo dos últimos, dificuldades para as empresas se relacionarem adequadamente com seus clientes (corretores e segurados), obrigando-as a repensarem seus negócios. Nesse contexto, o comportamento do consumidor do mercado securitário de automóvel assume conotação especial e passa a ser questão obrigatória na busca da vantagem competitiva. Assim, o objetivo geral do presente estudo é estabelecer procedimentos entre o corretor, o segurado e a seguradora, com um plano de ação de fidelização para maximizar resultados para as empresas, a partir de estratégias de marketing de relacionamento, baseadas na tríade cliente, corretor e seguradora. Para tanto, utiliza-se de um levantamento teórico e empírico da realidade do setor de seguros de automóvel, apurada no estágio atual, e apresenta conceitos e ferramentas de marketing de relacionamento que, adaptadas, poderiam levar ao aumento dos valores alTecadados pelas seguradoras, com conquista de novos clientes e retenção dos atuais. Os resultados indicam que há inúmeras felTamentas de marketing de relacionamento passíveis de aplicabilidade no segmento de seguros de automóvel, como sugere o estudo de caso da filial Niterói da organização pesquisada, capazes de fazer com que as empresas do setor incrementem seu potencial de receita e maximizem seu relacionamento com os COlTetores e com os consumidores finais.

Gestão ambiental e competitividade no setor da construção civil :um estudo sobre a aceitabilidade de práticas ambientais no mercado imobiliário

This work investigates the importance of Eco-Materiais applied in the civil construction and the necessity of knowledge of the real estate market, showing the importance of application of recycled products where inserted inside of a bigger scope of the sustainable development which has the subjects as the ambient management. In the theoretical referencial boarded the recycled and perfectly ecological products that demonstrate the applicability of this type of products in the sector of the civil construction, beyond the economic and social placesThe main popouse of the real estate sector is to show the awareness and demonstration in the negotiation of property constructed with these products, therefore, already it is practised by the market of the civil construction where much time sao commercialized by real estate and the its correctors lacking in same knowledge that is more deepened on these materials, having this evidence been made with statistical application of questionnaire and analyzed with base. We finish showing the statistical results with application of 142 questionnaires in a universe of 145 real estate from Natal/RN. With this, we may say that today exists a very strong concern with the environmental laws and the generated ambient impact in the civil construction and that the real estate sector has a feeling that the necessity of if inserting in this process, therefore, the real estate market in our State is in expansion and sensible to the necessity of changes, since the Natal/RN meets in the script of the tourism the International demanding of the professional that a globalized knowledge works with property, so the necessity of understanding the environmental laws and understanding application of the echo-materias used in the construction will give a better quality of life and at the same time to protect the nature

Error estimates for a neumann problem in highly oscillating thin domains

In this work we analyze the convergence of solutions of the Poisson equation with Neumann boundary conditions in a two-dimensional thin domain with highly oscillatory behavior. We consider the case where the height of the domain, amplitude and period of the oscillations are all of the same order, and given by a small parameter e > 0. Using an appropriate corrector approach, we show strong convergence and give error estimates when we replace the original solutions by the first-order expansion through the Multiple-Scale Method.

A objetivação da linguagem no (con)texto do vestibular : mo(vi)mentos na história e no político

In this study, we join up in the theoretical assumptions of the French Discourse Analysis in order to analyze effects of the demand of objectification of language in the context of vestibular essays. More specifically, we analyze the operation of said objectification via discourses constructed by the traditional vestibular exam due to the requirement to have, in the students’ essays, paraphrases of statements from the motivating texts (TM) of the test in question. From our perspective, the objectification mechanism of language, the paraphrase, in the vestibular, its logic of clarity and non-contradiction of ideas, is made by (in)determination of senses in the order of its speech and, also, in its practice: the correction of the vestibular essay. Therefore, in spite of what is assumed as guarantee to language in the moment of the vestibular essay, we suggest there are regularization-recognition conflicts of same senses— the constitutive senses of TM — in the evaluative speech of two vestibular-essay correctors(CA and CB). These correctors, with their history of reading (grammar and Linguistic Textual), stress the concept of paraphrase taken by the vestibular instance for the correction of students’ essays. Such stress creates a dispute of speeches: the speech of knowledge (university policy) versus the speech of produce (neoliberal policy); the latter as reading policy that favors literal meanings, consensus. Because of all this, we question: what are the effects of senses produced in (and about) vestibular essays by the demand of determining of the saying there instituted? To answer this question, we build analysis from clippings of documents that regulate the vestibular exam (institutional texts) in our country and, also, analysis of two vestibular essays in which at times appear, at times not, according to the judgment of CA and CB of essays, paraphrases of TM statements of the essay. The analysis, in theory, punctuates effects of sense of the objectification process of the saying in vestibular, and primarily the rarefaction of legal-position subject-of-knowing by the current institution of the subject-of-making. Moreover, our work comprises affiliations of sense that relates to the subject-speech relationship in evaluative exercise of vestibular essays, on the question of authorship.

Atomic resolution studies of oxide superlattices and ultrathin films

The ability to grow ultrathin films layer-by-layer with well-defined epitaxial relationships has allowed research groups worldwide to grow a range of artificial films and superlattices, first for semiconductors, and now with oxides. In the oxides thin film research community, there have been concerted efforts recently to develop a number of epitaxial oxide systems grown on single crystal oxide substrates that display a wide variety of novel interfacial functionality, such as enhanced ferromagnetic ordering, increased charge carrier density, increased optical absorption, etc, at interfaces. The magnitude of these novel properties is dependent upon the structure of thin films, especially interface sharpness, intermixing, defects, and strain, layering sequence in the case of superlattices and the density of interfaces relative to the film thicknesses. To understand the relationship between the interfacial thin film oxide atomic structure and its properties, atomic scale characterization is required. Transmission electron microscopy (TEM) offers the ability to study interfaces of films at high resolution. Scanning transmission electron microscopy (STEM) allows for real space imaging of materials with directly interpretable atomic number contrast. Electron energy loss spectroscopy (EELS), together with STEM, can probe the local chemical composition as well as local electronic states of transition metals and oxygen. Both techniques have been significantly improved by aberration correctors, which reduce the probe size to 1 Å, or less. Aberration correctors have thus made it possible to resolve individual atomic columns, and possibly probe the electronic structure at atomic scales. Separately, using electron probe forming lenses, structural information such as the crystal structure, strain, lattice mismatches, and superlattice ordering can be measured by nanoarea electron diffraction (NED). The combination of STEM, EELS, and NED techniques allows us to gain a fundamental understanding of the properties of oxide superlattices and ultrathin films and their relationship with the corresponding atomic and electronic structure. In this dissertation, I use the aforementioned electron microscopy techniques to investigate several oxide superlattice and ultrathin film systems. The major findings are summarized below. These results were obtained with stringent specimen preparation methods that I developed for high resolution studies, which are described in Chapter 2. The essential materials background and description of electron microscopy techniques are given in Chapter 1 and 2. In a LaMnO3-SrMnO3 superlattice, we demonstrate the interface of LaMnO3-SrMnO3 is sharper than the SrMnO3-LaMnO3 interface. Extra spectral weights in EELS are confined to the sharp interface, whereas at the rougher interface, the extra states are either not present or are not confined to the interface. Both the structural and electronic asymmetries correspond to asymmetric magnetic ordering at low temperature. In a short period LaMnO3-SrTiO3 superlattice for optical applications, we discovered a modified band structure in SrTiO3 ultrathin films relative to thick films and a SrTiO3 substrate, due to charge leakage from LaMnO3 in SrTiO3. This was measured by chemical shifts of the Ti L and O K edges using atomic scale EELS. The interfacial sharpness of LaAlO3 films grown on SrTiO3 was investigated by the STEM/EELS technique together with electron diffraction. This interface, when prepared under specific conditions, is conductive with high carrier mobility. Several suggestions for the conductive interface have been proposed, including a polar catastrophe model, where a large built-in electric field in LaAlO3 films results in electron charge transfer into the SrTiO3 substrate. Other suggested possibilities include oxygen vacancies at the interface and/or oxygen vacancies in the substrate. The abruptness of the interface as well as extent of intermixing has not been thoroughly investigated at high resolution, even though this can strongly influence the electrical transport properties. We found clear evidence for cation intermixing through the LaAlO3-SrTiO3 interface with high spatial resolution EELS and STEM, which contributes to the conduction at the interface. We also found structural defects, such as misfit dislocations, which leads to increased intermixing over coherent interfaces.