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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 ↓ ...
Existência de padrões com difusibilidade variável e condição de fronteira de Neumann não linear
(Universidade Federal de São Carlos, 2009-03-24)
In this work we study a reaction-difusion problem with nonlinear Neumann boundary condition. The objective is to present suficient conditions on the diffusion coeficient so that the problem has an stable nonconstant ...
A influência da geometria do domínio sobre a existência de equilíbrios estáveis não-constantes para alguns sistemas parabólicos.
(Universidade Federal de São Carlos, 2004-04-23)
In this work we study the problem of existence of non-constant stable equilibria
to some parabolic systems. Specifically, the Ginzburg-Landau system, the
Landau-Lifshitz system and systems with skew-gradient structure. In ...
Hipoeliticidade global e vetores simultaneamente aproximáveis.
(Universidade Federal de São Carlos, 2003-08-11)
A necessary and sufficient condition is given for a sum of squares operator to be globally hypoelliptic. This condition is expressed in terms of Diophatine approximation properties of the coefficients. The proof of the ...
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 ...
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 ...