Made available in DSpace on 2014-06-11T19:23:32Z (GMT). No. of bitstreams: 0 Previous issue date: 2010-03-01Bitstream added on 2014-06-13T18:09:47Z : No. of bitstreams: 1 silva_ley_me_ift.pdf: 1027482 bytes, checksum: 33786f51e1c264a391590d7d9fd221a5 (MD5) / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) / Neste trabalho consideramos um gás diluído de átomos de Fermi a baixas temperaturas, com igual numero de átomos de espin para acima (↑) e espin para abaixo (↓) formando um conjunto de N pares de átomos fermiônicos prisioneiros pela ação de uma armadilha com diferentes simetrias, nos distintos limites: de interação fraca, no limite da unitariedade, e no chamado crossover BEC-unitariedade, empregando uma equação de funcional densidade cujas soluções descrevem adequadamente as características principais do superfluido, como são: a densidade de partículas, o tamanho médio, o potencial químico e a energia do sistema / In this work we considered a Fermi gas diluted at low temperatures, to equal number of atoms with spin up (↑) and spin down (↓) into a system of N fermion pairs prisoners for the action of a trap with different symmetries, in different limits: weak-coupling, unitarity limit, and the call crossover BEC-unitarity, using a densityfunctional equation whose solutions describe some characteristics of the superfluid appropriately, for example: density profiles of particles, radius, chemical potential and the energy of the system

In this thesis, we have a comprehensive study of the famous compound Gauss-Markov image model. In this model, a pixel in the image random field is determined by the surrounding pixels according to a predetermined line field. This model is useful in image restoration by applying two steps iteratively: restoring the line field by the assumed image field and restoring the image field by the just computed line field. CGM (Compound Gauss-Markov) image modeling is characterized by the line fields and the generating noise. In this thesis we apply combinations of techniques such as changing processing order, immediate updating, probability determination and different methods to find the best modeling. Furthermore, the effects of the above modeling are demonstrated by its energy, visual quality, and error resistance. Finally, by solving a set of nonlinear equations we apply the CGM model to an image restoration problem for image corrupted by a dusted lens.

Many physical phenomena can be described by nonlinear models. The last few decades have seen an enormous growth of the applicability of nonlinear models and of the development of related nonlinear concepts. This has been driven by modern computer power as well as by the discovery of new mathematical techniques, which include two contrasting themes: (i) the theory of dynamical systems, most popularly associated with the study of chaos, and (ii) the theory of integrable systems associated, among other things, with the study of solitons. In this dissertation, we study two nonlinear models. One is the 1-dimensional vibrating string satisfying wtt − wxx = 0 with van der Pol boundary conditions. We formulate the problem into an equivalent first order hyperbolic system, and use the method of characteristics to derive a nonlinear reflection relation caused by the nonlinear boundary conditions. Thus, the problem is reduced to the discrete iteration problem of the type un+1 = F (un). Periodic solutions are investigated, an invariant interval for the Abel equation is studied, and numerical simulations and visualizations with different coefficients are illustrated. The other model is the Korteweg-de Vries-Burgers (KdVB) equation. In this dissertation, we proposed two new approaches: One is what we currently call First Integral Method, which is based on the ring theory of commutative algebra. Applying the Hilbert-Nullstellensatz, we reduce the KdVB equation to a first-order integrable ordinary differential equation. The other approach is called the Coordinate Transformation Method, which involves a series of variable transformations. Some new results on the traveling wave solution are established by using these two methods, which not only are more general than the existing ones in the previous literature, but also indicate that some corresponding solutions presented in the literature contain errors. We clarify the errors and instead give a refined result.

Conventional coupling paradigms used nowadays to couple various physics components in reactor analysis problems can be inconsistent in their treatment of the nonlinear terms. This leads to usage of smaller time steps to maintain stability and accuracy requirements thereby increasing the computational time. These inconsistencies can be overcome using better approximations to the nonlinear operator in a time stepping strategy to regain the lost accuracy. This research aims at finding remedies that provide consistent coupling and time stepping strategies with good stability properties and higher orders of accuracy. Consistent coupling strategies, namely predictive and accelerated methods, were introduced for several reactor transient accident problems and the performance was analyzed for a 0-D and 1-D model. The results indicate that consistent approximations can be made to enhance the overall accuracy in conventional codes with such simple nonintrusive techniques. A detailed analysis of a monoblock coupling strategy using time adaptation was also implemented for several higher order Implicit Runge-Kutta (IRK) schemes. The conclusion from the results indicate that adaptive time stepping provided better accuracy and reliability in the solution fields than constant stepping methods even during discontinuities in the transients. Also, the computational and the total memory requirements for such schemes make them attractive alternatives to be used for conventional coupling codes.

Orientador: Sadhan Kumar Adhikari / Banca: Roberto André Kraenkel / Banca: Vanderlei Salvador Bagnato / Resumo: Neste trabalho consideramos um gás diluído de átomos de Fermi a baixas temperaturas, com igual numero de átomos de espin para acima (↑) e espin para abaixo (↓) formando um conjunto de N pares de átomos fermiônicos prisioneiros pela ação de uma armadilha com diferentes simetrias, nos distintos limites: de interação fraca, no limite da unitariedade, e no chamado crossover BEC-unitariedade, empregando uma equação de funcional densidade cujas soluções descrevem adequadamente as características principais do superfluido, como são: a densidade de partículas, o tamanho médio, o potencial químico e a energia do sistema / Abstract: In this work we considered a Fermi gas diluted at low temperatures, to equal number of atoms with spin up (↑) and spin down (↓) into a system of N fermion pairs prisoners for the action of a trap with different symmetries, in different limits: weak-coupling, unitarity limit, and the call crossover BEC-unitarity, using a densityfunctional equation whose solutions describe some characteristics of the superfluid appropriately, for example: density profiles of particles, radius, chemical potential and the energy of the system / Mestre

В работе описаны семь программ, реализующих численные методы решения нелинейных уравнений теплопроводности. / In the present work seven programs are described that realize numerical methods for solving nonlinear heat equation.

The current methodologies in body scanning diagnostic uses different simultaneous imaging modalities like Ultrasound (US), magnetic resonance imaging (MRI), single photon emission tomography (SPECT) and positron emission tomography (PET). The field requires combination of different modalities for effective use in clinical diagnostics. Such incorporation of different modalities has already been achieved. For example, PET-CT hybrid scanner is designed to acquire align functional and anatomical images and recently US-MRI scanner has successfully shown to improve diagnosis of prostate cancer. The non ionizing radiation hybrid US-MRI is of great interest in health care industry. Further these US and MRI modalities uses different contrast agents like micro-sized gas bubbles (MBs) encapsulated by surfactant for US and superparamagnetic nanoparticles for MRI imaging modalities to further enables new diagnostic opportunities and therapeutic applications. Recently in our 3MiCRON project, we have developed the multimodal contrast agent that could be supported for both US and MRI. This was achieved by coating the magnetic nanoparticles to the poly vinyl alcohol (PVA) surfactant shelled MBs. The nanoparticles in the shell effect the structure can alter the MBs performance as an ultrasound contrast agent. The present thesis is conducted to examine the acoustic and mechanical properties of such multimodal contrast agents. These multimodal contrast agents were prepared by coating the surface of PVA-shelled MBs by two following strategies: (1) The superparamagnetic iron oxide (Fe3O4) nano-particles (SPIONs) were chemically anchored to the surface of poly vinyl alcohol (PVA) shelled MBs namely MBs-chem and (2) in the second strategy the SPIONs were physical entrapped into the PVA shell while formation of PVA surface on the gas bubble were named as MBs-phys. To understand the scattering efficiency and viscoelastic properties of these modified agents, we investigated the backscattering power, attenuation coefficient and phase velocity measurements. Our acoustic experimental results indicate that both the modified MBs and non-modified plain PVA-shelled ultrasound contrast agents have the same echogenic response. The investigation of mechanical properties of modified MBs revealed that the attached SPIONs on the PVA shell has reduced the stiffness of MBs-chem shell, while, the SPIONs inside the shell has increased MBs-phys stiffness. As a result, MBs-chem exhibits soft shell behavior under ultrasound exposure than both MBs-phys. Finally, the images were obtained through the MRI investigations at the department of Radiology, Karolinksa Institute, has demonstrated that both MB types have enough magnetic susceptibility that further provides good detectability in vitro and in vivo. As an outlook, the modified magnetic gas bubbles, i.e. both MBs-chem and MBs-phys can be proposed as a potential contrast agent for both US and MR imaging and can be further utilized in potential therapeutic applications. / <p>QC 20131126</p>

Orientador: Sérgio Kurokawa / Resumo: Nos sistemas de potência, o conhecimento dos parâmetros das linhas de transmissão possibilita o ajuste preciso dos sistemas de proteção, facilita a aplicação de ferramentas e técnicas de análise do sistema elétrico, permite a correta localização de faltas, assim como o monitoramento de indicadores comuns de faltas, como a temperatura e a catenária do condutor. As metodologias de estimação de parâmetros de linha de transmissão baseadas na teoria da decomposição modal são restritas a configurações de torre específicas, nas quais a matriz de transformação da linha de transmissão é conhecida. Neste trabalho apresenta-se um método para a estimação de parâmetros de linhas de transmissão genéricas em regime permanente, utilizando os fatores de correntes e tensões nos terminais da linha. Estabelece-se um sistema de equações não linear indeterminado, a partir das relações fase-modo das correntes e tensões nos terminais da linha e as matrizes de impedância e admitância da linha. Para uma linha trifásica genérica as relações fase-modo são escritas em função dos elementos da matriz transformação, os quais são desconhecidos e uma parte das incógnitas do sistema de equações. O sistema de equações é complementado com equações adicionais para ser resolvido mediante o algoritmo de Newton-Raphson e estimar os parâmetros de linha de transmissão. Foram estimados os parâmetros para uma linha de transmissão trifásica com diferente configuração de torre operando com diferentes cargas para vários co... (Resumo completo, clicar acesso eletrônico abaixo) / Abstract: Accuracy in transmission lines parameters is essential in power systems since it allows precise adjustment of the protection systems, the application of tools and techniques for analysis of the electrical system, the correct identification of fault location, as well as the monitoring of fault indicators such as the temperature and the catenary of the conductor. Transmission line parameter estimation methodologies based on modal decomposition theory are restricted to specific tower configurations in which the transformation matrix of the transmission line is known. This work presents a method to estimate parameters of generic transmission lines in the steady state, using the voltage and currents phasor at the terminals of the line. A system of consistent non-linear equations is established from the phase-mode relations of these voltage and current phasors and the impedance and admittance matrices of the line. The phase-mode relations are written as a function of the elements within the transformation matrix, which are unknown and part of the variables to be estimated. The system of equations is solved using the Newton-Raphson algorithm to estimate both the transmission line parameters and the transformation matrix. The parameters were estimated for three-phase transmission lines for a particular tower configuration operating under different loads and lengths. The relative error of the estimated parameters evaluates the method’s accuracy and the influence of the line’s lumped r... (Complete abstract click electronic access below) / Doutor

[pt] Estudamos duas classes de equações diferenciais parciais, nomeadamente: uma equação de transferência radiativa e uma equação do calor duplamente não-linear. O primeiro modelo envolve uma equação não-local, na presença de um operador de espalhamento. Estuda-se a boa colocação do problema no semi-plano, no regime peaked. Prova-se um lema de averaging, que produz regularidade interior para o problema, além de regularização fracionária para as derivadas temporais da solução. O segundo conjunto de resultados da tese trata de uma equação de Trudinger com graus de não-linearidade distintos. Aproxima-se este problema pela p-equação do calor e importa-se regularidade da última para a primeira. Como consequência, mostra-se um resultado de regularidade melhorada no contexto não homogêneo. / [en] We consider two classes of partial differential equations. Namely: the radiative transfer equation and a doubly nonlinear model. The former concerns a nonlocal problema, driven by a scattering operator. We study the well-posedness of solutions in the peaked regime, for the half-space. A new averaging lemma yields interior regularity for the solutions and improved fractional regularization for the time derivatives. The second model we examine is a Trudinger equation with distinct nonlinearities degrees. Inspired by ideas launched by L. Caffarelli, we resort to approximation methods and prove improved regularity results for the solutions. The strategy is to relate our equation with p-caloric functions.