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Estimativas ótimas para certos teoremas generalizados de Borsuk-Ulam e Ljusternik-Schnirelmann.
(Universidade Federal de São Carlos, 2005-07-28)
The classic Theorems of Borsuk-Ulam and Ljusternik-Schnirelmann have many generalizations, among which we point out that given by C. Schupp [12] and H. Steinlein [14]. Schupp generalizes the Borsuk-Ulam Theorem by replacing ...
O átomo de hidrogênio em 1, 2 e 3 dimensões
(Universidade Federal de São Carlos, 2007-08-10)
In this work we study the Hamiltonian of the hydrogen atom in 1, 2 and 3 dimensions. Especifically, it is defined as a self-adjoint operator in the Hilbert
space L2(Rn), n = 1, 2, 3. Nevertheless, the main goal is to study ...
Regularidade global Gevrey das soluções de certas classes de operadores parciais lineares de primeira ordem.
(Universidade Federal de São Carlos, 2004-01-01)
In this work we study global Gevrey hypoellipticity on the Euclidean 2-space R² for a class of first order linear partial differential operators with coeffcients in Cw2χ (R). Necessary and suffcient conditions for ...
Sistemas parabólicos : aplicações em fluidos com capilaridade trifásico
(Universidade Federal de São Carlos, 2009-03-06)
We study degenerate parabolic systems arised in three-phase capillary flows in porous media under a pressure control at the inflow and outflow boundaries. We perform a mathematical study of such systems for a class of ...
Propriedades assintóticas de uma equação de reação e difusão com p-Laplaciano degenerado
(Universidade Federal de São Carlos, 2006-02-23)
In this work we characterize the stationary solution set of a quasi-linear parabolic GOVERNADO for p-Laplacian, p > 2, and we stability properties of EQUILÍBRIOS. Furthermore, we do a comparision between this problem and ...
Existência global de soluções para uma classe de leis de conservação e algumas considerações sobre um sistema de leis de conservação
(Universidade Federal de São Carlos, 2006-03-09)
In this work, we will construct global solutions for a conservation law, due to C. M. Dafermos. Also we will discuss some properties for a class of systems of conservation laws, due to B. Rubino.
Pontos fixos e os contra-exemplos de Jiang
(Universidade Federal de São Carlos, 2009-02-27)
The aim of this work is construct the example, presented by Boju Jiang, of a self - map on a manifold with non - realizable Nielsen number. Firstly we will need to present the fixed point
theory and some results about ...
Soluções ondas viajantes da equação Korteweg-de Vries-Burgers
(Universidade Federal de São Carlos, 2006-12-05)
The aim in this work is to estudy the existence and certain qualitative properties of travellingwave
to the Korteweg-de Vries-Burgers (KdVB) equation. The asymptotic behaviour of these
waves is analysed when ε ↓ ...
Graduações de grupo na álgebra das matrizes triangulares superiores
(Universidade Federal de São Carlos, 2009-08-11)
In this work we study group gradings on the upper triangular matrices algebra UTn(F), which have several applications in the PI-algebra theory. Our main purpose is to exhibit a description of all _nite gradings of UTn(F) ...
Existência de padrões com difusibilidade variável e condição de fronteira de Neumann não linear
(Universidade Federal de São Carlos, 2009-03-24)
In this work we study a reaction-difusion problem with nonlinear Neumann boundary condition. The objective is to present suficient conditions on the diffusion coeficient so that the problem has an stable nonconstant ...