Search
Now showing items 1-10 of 24
Teorema da esfera suave via fluxo de Ricci
(Universidade Federal de São Carlos, 2023-08-04)
The goal of this dissertation is the theoretical development of the Ricci flow, a differential equation over a family of Riemannian metrics on an arbitrary differentiable manifold, and its use in the proof of the so-called ...
On the classification of two dimensional flows
(Universidade Federal de São Carlos, 2023-08-02)
Lawrence Markus, a well-known mathematician, published, in 1954, a strong result about classification of planar vector fields. Afterwards, Dean Arnold Neumann generalized such work for continuous flows, and the result ...
Laplaciano de Dirichlet e Dirichlet-Neumann em faixas ilimitadas
(Universidade Federal de São Carlos, 2023-04-27)
Let $\Omega$ be an unbounded two dimensional strip on a ruled surface in $\mathbb{R}^d$, $d\geq2$.
Consider $-\Delta_{\Omega}^{D}$ the Dirichlet Laplacian operator restricted to $\Omega$ and $-\Delta_{\Omega}^{DN}$ the ...
Multiplicação de distribuições no estudo de soluções de ondas delta choque
(Universidade Federal de São Carlos, 2023-12-15)
In this work, we will find the delta shock wave solution for three Riemann problem where two are hyperbolic systems of conservation laws with linear damping and a three-component nonlinear chromatography model. We will ...
Existência global para a equação periódica e dispersiva de Hunter-Saxton
(Universidade Federal de São Carlos, 2021-03-15)
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 ...
Campos de vetores suaves por partes: preservação de medida, pressão topológica e dinâmica simbólica
(Universidade Federal de São Carlos, 2023-08-10)
The study of piecewise smooth vector fields (PSVFs) has been consolidated in recent years not
only because of the beauty of the theoretical results, but also because of the proximity of this area
to applied sciences such ...
Classes características de variedades topológicas e generalizadas
(Universidade Federal de São Carlos, 2022-03-24)
In this work, we will initially present generalized bundles, a concept developed by Fadell with
the objective of generalizing vector bundles, Stiefel-Whitney classes andWu’s formula from the
context of smooth manifolds ...
A álgebra graduada associada a uma valorização
(Universidade Federal de São Carlos, 2021-11-30)
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, ...
Teoria dos operadores integrais singulares
(Universidade Federal de São Carlos, 2020-04-28)
We present in this work some of the main results regarding the continuity in Lp and the definition almost everywhere of operators known as Singular Integrals, as well as some classic examples and applications. We have ...
Espaços de Hardy radial
(Universidade Federal de São Carlos, 2020-02-06)
One presents in this work an atomic decomposition via radial atoms for distributions on subspace $\mathcal{H}^{p}_{rad}(\mathds{R}^{n})$ for $0 < p\leqslant 1$, of Hardy radial spaces $H_{rad}^{p}(\mathds{R}^{n}) \doteq ...