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Caracterizações da compactificação de Poincaré de campos polinomiais do plano
(Universidade Federal de São Carlos, 2007-09-25)
In this work, we describe the Poincaré Compactification of polinomial vector fields and present two characterization of it.
Recobrimentos ramificados entre superfícies e dessins d'enfants
(Universidade Federal de São Carlos, 2012-03-19)
Given closed connected surfaces X and Y, integers n > 0 and d > 2, and for i = 1,..., n partitions (dy)j=i,...,mi of d. The 5-tuple (X, Y, n, d, (dij)) is called the branch datum of a candidate branched covering. Many works ...
Existência e multiplicidade de soluções para uma classe de problemas envolvendo operadores fracionários
(Universidade Federal de São Carlos, 2019-08-14)
In this work, we study existence and multiplicity of weak solutions for three problems involving fractional operators, with emphasis on critical growth nonlinearities. The first problem deals with the existence of sign-changing ...
Poliedro de Newton e o número de Milnor
(Universidade Federal de São Carlos, 2006-02-24)
In this work, we study the relation between Milnor's number and the Newton's number of a formal series. The former is always greater than or equal to the latter and equality
occurs whan the formal series f has non-degenerate ...
Analiticidade e suavidade micro-local para soluções de equações diferenciais parciais não lineares de primeira ordem
(Universidade Federal de São Carlos, 2012-04-02)
This work intends to study the analytic wave front set and theC8wave front set ofupx,0q, assu-ming that the partial differential equationsut fpx,t,u,uxqpresents a solutionu upx,tqPCk
Vetores Gevrey em estruturas localmente integráveis do tipo tubo
(Universidade Federal de São Carlos, 2014-03-14)
Symmetric and non-symmetric Jack Functions
(Universidade Federal de São Carlos, 2020-05-29)
The goal of this dissertation is to present the theory of Jack functions from the standpoint of algebraic combinatorics. The presentation of symmetric functions is largely centred on the first chapter of MacDonald's ...
Movimento de interface para duas equações de reação-difusão
(Universidade Federal de São Carlos, 2007-02-26)
In this work, following [15], we will use the technique of matched asymptotic
expansions to study the movement of interface for the solutions of an advection-reaction-
difuusion equations and the equation of reaction-difusion ...
O conceito de n-varifold e EDP
(Universidade Federal de São Carlos, 2006-03-03)
The goal of this work is the detailed study of some topics of Geometric Measure Theory, giving special attention to the n-varifold concept and illustrating its use in the asymptotic behavior of critical points of the energy ...
Leis de conservacão escalar: fórmula explícita e unicidade
(Universidade Federal de São Carlos, 2011-03-23)
We study scalar conservation laws, with the deduction of an explicit formula of a smooth solution with compact support, we also present the behavior of the solution given by the formula when the initial value is zero outside ...