Teses e dissertações: Recent submissions

Now showing items 41-60 of 274

    • A álgebra graduada associada a uma valorização 

      Barnabé, Matheus dos Santos (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 30/11/2021)
      We begin this work with a study of the graded algebra associated to a valuation $\nu: K \longrightarrow \Gamma_{\infty}$. We verify that in the cases where the value group is free or the residue field is closed by radicals, ...

    • Grupos de tranças de superfícies e espaços de recobrimento 

      Cruz, Raquel Magalhães de Almeida (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 09/08/2021)
      Given M a compact and connected surface without boundary, we define the braid groups of M, denoted by B_n(M), geometrically. We also explore its relation with the configuration space and the mapping class group of the same ...

    • Differential cohomology on maps of pairs and relative-parallel product 

      Nunez Maldonado, Juan Carlos (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 06/10/2021)
      In this thesis, we study three important topics. The first one provides an axiomatic framework to differential cohomology on maps of pairs of topological spaces, introducing the product between relative and parallel classes. ...

    • Identidades polinomiais para a álgebra de Jordan das matrizes triangulares superiores 2x2 

      Salomão, Mateus Eduardo (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 28/10/2021)
      Let K be a field (finite or infinite) of char(K) ≠ 2, and let UTn = UTn(K) be the n x n upper triangular matrix algebra over K. If · is the usual product on UTn, then with the new product a ○ b = (1/2)(a·b + b·a), UTn ...

    • Singularly nonautonomous semilinear evolution equations with almost sectorial operators 

      Belluzi, Maykel Boldrin (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 21/09/2021)
      A great variety of phenomena that happens in nature relies on the theory of differential equations to be properly modeled and explained. In this work we focus on a specific class of partial differential equations named ...

    • Heat equation and the Yamabe flow on manifolds with fibered boundary metric 

      Souza, Bruno Caldeira Carlotti de (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 02/09/2021)
      This work is dedicated to the study of the Yamabe flow on a class of non-compact complete Riemannian manifolds with fibered boundary and infinite volume, called Phi-manifolds. Some examples of this type of manifold include ...

    • Existência de soluções para uma classe geral de operadores do tipo p&q-Laplacianos 

      Aguiar, Christopher Silva (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 26/08/2021)
      In this work, we will study the existence of non-trivial weak solutions for two classes of elliptic and nonlinear problems, whose growth condition on these nonlinearities is subcritical and which involve general operators ...

    • Estudos sobre A-identidades polinomiais 

      Naves, Fernando Augusto (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 21/07/2021)
      The aim of this work is to study A-identities in associative algebras. More specifically, we study the A-identities of the tensor square of the unitary and infinite dimensional Grassmann algebra E, denoted by R, and we ...

    • Operadores de Calderón-Zygmund e o Teorema T(1) 

      Silva, Pedro Henrique Takemura Feitosa da (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 26/05/2021)
      The purpose of this work is to present, in a detailed way, one of the main topics of Harmonic Analysis: the singular integral operators or, in its general form, the Calderón-Zygmund operators. We did here, for the most ...

    • Número de Nielsen-Borsuk-Ulam para aplicações entre toros 

      Melo, Givanildo Donizeti de (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 25/03/2021)
      The Nielsen-Borsuk-Ulam number is a lower bound for the minimal number of pair of coincidences points such that f(x) = f(\tau(x)) in a given homotopy class of maps. In this text the Nielsen-Borsuk-Ulam number, NBU(f; \tau), ...

    • Existência global para a equação periódica e dispersiva de Hunter-Saxton 

      Pérez Yépez, Andrés Gerardo (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 15/03/2021)
      In this master's thesis, we study the recent results about global existence for the integrable dispersive Hunter–Saxton equation in a periodic domain. Firstly, the local well-posedness of the Cauchy problem of the equation ...

    • Grupos de tranças de superfícies finitamente perfuradas e grupos cristalográficos 

      Diniz, Renato dos Santos (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 07/12/2020)
      The link between braid groups on surfaces and crystallographic groups has become such an interesting topic. In the last years some advances were found in the studies of this relation, specially in the case of Artin braid ...

    • Boa postura analítica e Gevrey da “boa” equação de Boussinesq 

      Figueira, Renata de Oliveira (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 11/03/2021)
      In both the line and the circle, we shall to prove that the Cauchy problem for the ``good'' Boussinesq equation is locally well-posed in a class of Gevrey functions, which includes a class of analytic functions that can ...

    • Existência de pullback atrator exponencial para uma família de problemas dominados por uma perturbação do p(x)-Laplaciano com difusão grande localizada, via método das l-trajetórias 

      Couto, Thays Regina Santana (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 22/12/2020)
      In this work, we use the method of l-trajectories to prove the existence of a family of exponential attractors for autonomous nonlinear reaction-diffusion equations, involving the p(x)-Laplacian with large localized ...

    • Sobre fibrados e poliedros de dimensão finita 

      Bautista, Kevin Moradel (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 01/02/2021)
      The objective of this work is to establish the existence of universal bundles and to relate this existence to finite dimension polyhedra. As a consequence, we present examples of universal bundles for the case of classic groups.

    • Teoremas ergódicos para sistemas multívocos e aleatórios com aplicações a semifluxos generalizados 

      Lucidio, Gabriel Silva (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 05/02/2021)
      This work focuses on four major themes: semiflows; generalized semiflows; invariant measure for set-valued maps; and random dynamical systems. The study of semiflows aims to understand the asymptotic behavior of solutions ...

    • Sobre teoremas do tipo Tverberg 

      Poncio, Carlos Henrique Felicio (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 17/12/2020)
      The main objective of this work is to prove Tverberg-type theorems and related results. More specifically, we will present an alternative proof for the Bárány-Larman conjecture for the case $r = p-1 $ with $ p $ a prime, ...

    • Non-autonomous Klein-Gordon-Zakharov system: pullback dynamics in the continuous and impulsive approaches 

      Santiago, Eric Busatto (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 22/12/2020)
      This work is dedicated to study a non-autonomous formulation of the Klein-Gordon-Zakharov system, which is a coupled system consisting of two non-autonomous evolution equations, where each one is of second order in time. ...

    • Involuções fixando RP(6)URP(2n) e variedades compatíveis com o ponto com respeito à involuções 

      Costa, Jessica Cristina Rossinati Rodrigues da (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 25/11/2020)
      In this work, we have two objectives: the first lives in the context of the classification, up to equivariant cobordism, of the pairs (M, T) , where M is a closed and smooth manifold and T is a smooth involution ...

    • Identidades e polinômios centrais com involução para a álgebra de Grassmann e álgebra das matrizes triangulares de ordem 3 

      Silva, Dalton Couto (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 30/11/2020)
      Let F be an infinite field of characteristic different from 2. In this thesis we will study the polynomial identities and central polynomials with involution for two important classes of algebras. More precisely, we describe ...