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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 ...
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, ...
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 ...
Grafeno multicamadas através de grafos quânticos periódicos: cones de Dirac
(Universidade Federal de São Carlos, 2020-03-06)
We study the spectral characterization and Dirac cones, always through periodic quantum graphs, in three situations. Firstly, we model bidimensional honeycomb materials, for instance, Graphene and Boron Nitride. We consider ...
Boa postura analítica e Gevrey da “boa” equação de Boussinesq
(Universidade Federal de São Carlos, 2021-03-11)
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 ...
Involuções fixando somas conexas de espaços projetivos e melhorias para o Five Halves Theorem quando Fix(T ) = F n ∪ F j
(Universidade Federal de São Carlos, 2022-12-06)
Let M m be a closed and smooth m-dimensional manifold, and T : M m → M m a smooth involution,
that is, a period 2 diffeomorphism defined on M m . It is well known the fact that the fixed point set
of T , F = {x ∈ M m |T ...
Camadas de heteroestruturas hexagonais planas modeladas por grafos quânticos
(Universidade Federal de São Carlos, 2022-08-24)
We started this work by reviewing an application of periodic quantum graph theory to model monolayer hexagonal materials with δ_a and δ_b parameters associated with the different types of atoms located in their vertices. ...