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Teoremas ergódicos para sistemas multívocos e aleatórios com aplicações a semifluxos generalizados
(Universidade Federal de São Carlos, 2021-02-05)
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 ...
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 ...
Sobre teoremas do tipo Tverberg
(Universidade Federal de São Carlos, 2020-12-17)
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, ...
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
(Universidade Federal de São Carlos, 2020-12-22)
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 ...
Grupos de tranças de superfícies finitamente perfuradas e grupos cristalográficos
(Universidade Federal de São Carlos, 2020-12-07)
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 ...
Número de Nielsen-Borsuk-Ulam para aplicações entre toros
(Universidade Federal de São Carlos, 2021-03-25)
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), ...
Sobre uma família de equações de evolução não lineares : existência, classificação e instabilidade de soluções ondas viajantes
(Universidade Federal de São Carlos, 2018-03-26)
This thesis is concerned with the orbital instability for a specific class of periodic traveling wave solutions with the mean zero related to the modified Camassa-Holm equation. These solutions, called snoidal waves, are ...
Estabilidade de Standing waves
(Universidade Federal de São Carlos, 2014-03-13)
This work is concerned with the orbital stability of special solutions called "standing waves" for Hamiltonian systems in a real and invariant Hilbert space under the action of a specific group of isometries in such space. ...
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. ...