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Estabilidade de Standing waves
(Universidade Federal de São Carlos, 2014-03-13) Santos, Alisson Darós; Arruda Saraiva de Paiva, Lynnyngs Kelly; https://lattes.cnpq.br/1987217076305725; https://lattes.cnpq.br/6578656064045662
This work is concerned with the orbital stability of special solutions called "standing waves" for Hamiltonian systems in a real and invariant Hilbert space under the action of a specific group of isometries in such space. The stability investigated is orbital in the usual sense for a dynamical system and is with respect to perturbations of the initial condition. Initially we approach the problem in an abstract manner and then we show an application of the discussed method.
Espaços de Hardy e compacidade compensada
(Universidade Federal de São Carlos, 2014-03-13) Souza, Osmar do Nascimento; Hoepfner, Gustavo; https://lattes.cnpq.br/7742503790793940; https://lattes.cnpq.br/9839649733570632
This work is divided into two parts. In the first part, our goal is to present the theory of Hardy Spaces Hp(Rn), which coincides with the Lebesgue space Lp(Rn) for p > 1, is strictly contained in Lp(Rn) if p = 1, and is a space of distributions when 0 < p < 1. When 0 < p ^ 1, the Hardy spaces offers a better treatment involving harmonic analysis than the Lp spaces. Among other results, we prove the maximal characterization theorem of Hp, which gives equivalent definitions of Hp, based on different maximal functions. We will proof the atomic decom¬position theorem for Hp, which allow decompose any distribution in Hp to be written as a sum of Hp-atoms (measurable functions that satisfy certain properties). In this step, we use the strongly the of Whitney decomposition and generalized Calderon-Zygmund decomposition. In the second part, as a application, we will prove that nonlinear quantities (such as the Jacobian, divergent and rotational defined in Rn) identied by the compensated compactness theory belong, under natural conditions, the Hardy spaces. To this end, in addition to the results seen in the first part, will use the results as Sobolev immersions theorems ans the inequality Sobolev-Poincare. Furthermore, we will use the tings and results related to the context of differential forms.
Reabrindo a caixa de pandora: estudo de caso da atuação do BNDES e suas subsidiárias do ponto de vista do gerenciamento e operacionalização do risco
(Universidade Federal de São Carlos, 2014-03-13) Cavenaghi, Felipe; Donadone, Julio César; https://lattes.cnpq.br/7643906508178259; https://lattes.cnpq.br/4880147392951803
The National Bank for Economic and Social Development (BNDES), as a financial intermediary, has acted as a direct instrument of implementation of public policies for using this tool legitimized by economic field , made available through the framework of Private Equity . The uniformity of laws on banking prudence is a necessity imposed by the advancement of innovation and financial globalization . Incorporated the recommendations of Basel banking regulations in Brazil and accounting standards apply to all financial institutions authorized to operate by the Central Bank included therein BNDES and other development banks . This study aims at the implementation of these standards, considering that were designed initially to treat investment banking and retail, a scenario to understand the positioning and transformations of the bank in its organizational space.