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Analiticidade, na variável espacial, da solução do problema de Caucky para a equação de KdV
(Universidade Federal de São Carlos, 2006-03-13)
In this work we use bilinear estimates and point fix theorem to show that the solution to the initial value problem for the Korteweg-de Vries equation with analytic periodic initial data is analytic and periodic in the ...
Germes de funções sobre variedades analíticas
(Universidade Federal de São Carlos, 2006-03-03)
The study of analytic germs of functions (Cn, 0) → (C, 0) under R - equivalence relation is a central point in Singularity Theory and the information we have in this direction is very rich. In this dissertation we ...
Resolubilidade global para operadores diferenciais parciais reais de ordem um
(Universidade Federal de São Carlos, 2006-06-30)
The present work study the global solvability of first order real linear partial diferential
operators when the principal part has precisely one equilibrium point.
Moreover, examples and counterexamples are presented.
Estabilidade dinâmica para sistemas quânticos dependentes do tempo
(Universidade Federal de São Carlos, 2006-10-16)
We study if a time-dependent system is either dynamically stable or unstable,
i.e., if the expected value of a positive and discrete observable is a bounded
function of time or not. Initially we consider topological ...
Propriedades assintóticas de uma equação de reação e difusão com p-Laplaciano degenerado
(Universidade Federal de São Carlos, 2006-02-23)
In this work we characterize the stationary solution set of a quasi-linear parabolic GOVERNADO for p-Laplacian, p > 2, and we stability properties of EQUILÍBRIOS. Furthermore, we do a comparision between this problem and ...
Existência global de soluções para uma classe de leis de conservação e algumas considerações sobre um sistema de leis de conservação
(Universidade Federal de São Carlos, 2006-03-09)
In this work, we will construct global solutions for a conservation law, due to C. M. Dafermos. Also we will discuss some properties for a class of systems of conservation laws, due to B. Rubino.
G-variedades riemannianas como hipersuperfícies de formas espaciais
(Universidade Federal de São Carlos, 2006-02-20)
(See full text for download)
It is proved that an isometric immersion f: Mn ! Qn+1
c of a compact Riemannian mani-fold of dimension n ¸ 3 into a space form of dimension n + 1 is equivariant with respect
to a Lie group ...
Soluções ondas viajantes da equação Korteweg-de Vries-Burgers
(Universidade Federal de São Carlos, 2006-12-05)
The aim in this work is to estudy the existence and certain qualitative properties of travellingwave
to the Korteweg-de Vries-Burgers (KdVB) equation. The asymptotic behaviour of these
waves is analysed when ε ↓ ...
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 ...
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 ...