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Estudo de nova fórmula de caracteres para representações de Álgebra de Lie semissimples
(Universidade Federal de São Carlos, 2015-08-28)
The objective of this dissertation is descrive formally the irreducible representations of finitedimensional semisimple Lie algebras g over a field F algebraically closed with characteristic zero, as also get some multiplicity ...
O produto tensorial não abeliano de grupos e aplicações
(Universidade Federal de São Carlos, 2015-04-22)
The nonabelian tensor square GG of a group G was introduced by R. K.
Dennis [8] in a search for new homology functors having a close relationship to
K-theory and it is based on the work of C. Miller [14]. Subsequently ...
The period function for some planar piecewise vector fields
(Universidade Federal de São Carlos, 2023-04-27)
In this work, we study the period function for fixed families of piecewise differential vector fields with a line of discontinuities. These systems, indistinctly called piecewise or nonsmooth, appear in several applications, ...
Heat equation and the Yamabe flow on manifolds with fibered boundary metric
(Universidade Federal de São Carlos, 2021-09-02)
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 ...
Attractors for processes on time-dependent spaces
(Universidade Federal de São Carlos, 2022-04-12)
The goal of this master’s degree dissertation is to study the asymptotic behavior of non-autonomous
hyperbolic partial differential equations with time-dependent coefficients. In order to achieve that, we
introduce the ...
Algumas aplicações de p-pontos
(Universidade Federal de São Carlos, 2023-08-24)
In this work we analyze the concept of \(p\)-points in \(\omega\) and its relation with forcing, in particular Sacks forcing and side-by-side Sacks forcing. With this we verify that the existence of \(p\)-points with ...
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 ...
Soluções estacionárias positivas de equações de primeira ordem com termo de Kirchhoff e falta de coercitividade
(Universidade Federal de São Carlos, 2023-05-10)
In this work, we investigate the existence of positive stationary solutions of the Kirchhoff equations in a limited domain, an inhomogeneous spatial coefficient and a function of first order terms with growth up to the ...
Um princípio de tangência e aplicações
(Universidade Federal de São Carlos, 2021-12-17)
We present tools, such as a maximum principle for elliptic functions and properties of a-hyperbolic polynomials, to study a tangency principle between two hypersurfaces with r-mean curvatures of a Riemannian manifold, which ...