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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 ...
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.
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 ...