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Generalização da sequência curta de Fadell-Neuwirth para os grupos de tranças de superfícies
(Universidade Federal de São Carlos, 2014-02-17)
The objective of this work is to study the braid groups on topological surfaces as well as studying a generalization of the Fadell-Neuwirth short exact sequence. We treated also the existence of a cross-section for the ...
Transformada de Tjurina para singularidades determinantais
(Universidade Federal de São Carlos, 2017-07-19)
We study the Tjurina transforms of determinantal singularities and its properties.
Identidades polinomiais via identidades de grupo : a conjectura de Brian Hartley
(Universidade Federal de São Carlos, 2017-02-16)
In this work, we present the Conjecture of Brian Hartley and study its validity, i.e, we verify
if group identities in the unity group U(FG) make FG satisfy a polynomial identity, where G
is a torsion group and F any ...
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 ↓ ...
Índice de Yang e teoremas generalizados
(Universidade Federal de São Carlos, 2011-07-26)
We work with T-spaces (X; T), where X is a Hausdor_ compact space and T : X ! X is a continuous involution without _xed points. Considering the sphere Sn with the antipodal map, we highlight three classical theorems relating ...
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) ...
O problema de Cauchy para a equação da onda cúbica
(Universidade Federal de São Carlos, 2011-05-27)
In this work, we study the result of global well-Posedness for the cubic wave equation @2 t u��_u+u3 = 0 in R_R3, where the Cauchy data is in the Sobolev space Hs(R3)_ Hs��1(R3) with 13 18 < s ...
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 ...
A transformação de Darboux-Bianchi para superfícies isotérmicas em R³.
(Universidade Federal de São Carlos, 2004-04-15)
In this work we develop the transformation theory for isothermic surfaces in Euclidean space IR3 due to Darboux and Bianchi. As a consequence, we describe a method for constructing new solutions of the nonlinear
system of ...