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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 ...
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:
...
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.
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 ...
Semicontinuidade superior de atratores para semigrupos multívocos
(Universidade Federal de São Carlos, 2007-08-16)
In this work we developed an abstract theory for existence and characterization of
attractors for multivalued semigroups defined by generalized semi
ows and we apply
the abstract results to systems of p-laplacian ...