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Os sistemas completos de desigualdades propostos por Santaló
(Universidade Federal de São Carlos, 2007-03-20)
In 1961, Santaló[21] suggested that, considering the family of the convex bodies in
R2, it was found a complete system of inequalities for each pair and each triple of the
functions area, perimeter, diameter, inradius, ...
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 ...
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 ...
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.
Construção de espaços classificantes
(Universidade Federal de São Carlos, 2004-02-27)
In this work we present a construction of classifying spaces for principal bundles by studying simplicial and co-simplicial objects over a category and as application we present the construction of Eilenberg-MacLane ...
O átomo de hidrogênio em 1, 2 e 3 dimensões
(Universidade Federal de São Carlos, 2007-08-10)
In this work we study the Hamiltonian of the hydrogen atom in 1, 2 and 3 dimensions. Especifically, it is defined as a self-adjoint operator in the Hilbert
space L2(Rn), n = 1, 2, 3. Nevertheless, the main goal is to study ...
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 ...
Existência de variedade invariante e atrator para a equação ut = uxx + f(u)
(Universidade Federal de São Carlos, 2007-03-26)
In this work we study the differential equation
ut = uxx+ f (u); 0 6 x 6 1; t > 0
with homogeneous Dirichlet boundary conditions and f 2C1(R;R) lipschitz and bounded globally
and satisfying the following conditions:
...
Sobre o modelo de supercondutividade de Ginzburg- Landau com efeito magnético em domínios delgados.
(Universidade Federal de São Carlos, 2005-03-04)
Extensões de distribuições quase-homogêneas
(Universidade Federal de São Carlos, 2007-02-02)
In this dissertation the author proves two results of extensions for IRn of distribution solutions in IRn{0} of the operator Lλ,a = n ∑ i=1 λixi@xi − a, with λ = (λ1, . . . , λn) E Rn ...