Hyperbolic Space
Mostrando 1-12 de 36 artigos, teses e dissertações.
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1. Existência e homogeneização para um problema elíptico com fronteira livre não estacionária / Existence and homogenization for an elliptic problem with nonstationary free boundary
In this dissertation we study an elliptic problem in a bounded Lipschitz domain. Part of the boundary is moving and oscillates rapidly in the variable representing the space. Thus, we have a multi-scale free boundary problem. This problem has applications, for instance, in the construction of semiconductor films taking into account that the surface of the fi
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 31/05/2012
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2. Sistemas dinâmicos: bacias de atração e aplicações / Dynamical systems: basins of attraction and aplications
The present work proposes to present a description of the theory on the basins of attraction of hyperbolic equilibrium points of continuous dynamical systems, to develop a method for the numerical determination of these basins and to examine the results of applying the theory and method in models of population dynamics. The determination of the basins of att
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 28/02/2012
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3. Sobre rigidez de hipersuperfÃcies completas / On rigidity of complete hypersurfaces
The purpose of this thesis is to obtain characterization theorems of complete spacelike hypersurfaces isometrically immersed in a semi-Riemannian ambient space under some restrictions on the Gauss mapping or about the r-mean curvatures of these objects. We start our work by providing necessary conditions to ensure the umbilicity of immersed hypersurfaces in
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 12/08/2011
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4. Geometria e simetrias do emaranhamento
In the present work we present a geometric method to identify and measure the degree of entanglement of a two-qubit state. It is based on writing a map of the system state, from a non-unitary transformation. By introducing new parameters for such 4X4 matrix, the product of eigenvalues, two by two, acquire the form of squared 4D distances, having a Minkowski
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 20/05/2011
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5. Superfícies mínimas com curvatura constante nas formas espaciais 4-dimensionais / Minimal surfaces with constant curvature in 4-dimensional space forms
Este trabalho foi baseado nos artigos On CompactMinimal Surfaces with non-negative Gaussian Curvature in a Space of Constant Curvature: I e Minimal Surfaces with Constant Curvature in 4-dimensional Space Forms de Katsuei Kenmotsu que consistem em classificar superfícies mínimas com curvatura Gaussiana constante K nas formas espaciais 4-dimensionais, sem al
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 13/05/2011
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6. Superfícies mínimas com curvatura constante nas formas espaciais 4-dimensionais / Minimal surfaces with constant curvature in 4-dimensional space forms
Este trabalho foi baseado nos artigos On CompactMinimal Surfaces with non-negative Gaussian Curvature in a Space of Constant Curvature: I e Minimal Surfaces with Constant Curvature in 4-dimensional Space Forms de Katsuei Kenmotsu que consistem em classificar superfícies mínimas com curvatura Gaussiana constante K nas formas espaciais 4-dimensionais, sem al
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 13/05/2011
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7. Hypersurfaces with constant mean curvature in the complex hyperbolic space
A classical theorem of A. D. Alexandrov characterized round spheres is extended to the complex hyperbolic space CH2 of constant holomorphic sectional curvature. A detailed description of the horospheres and equidistant hypersurfaces in CH2 determining in particular their stability, is also given.
Publicado em: 2011
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8. Differential transformation method for solving one-space-dimensional telegraph equation
In this research, the Differential Transformation Method (DTM) has been utilized to solve the hyperbolic Telegraph equation. This method can be used to obtain the exact solutions of this equation. In the end, some numerical tests are presented to demonstrate the effectiveness and efficiency of the proposed method. Mathematical subject classification: 35Lxx,
Computational & Applied Mathematics. Publicado em: 2011
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9. Riemann Problems for a Symmetrical System of Two Conservation Laws / Problemas de Riemann para um Sistema Simétrico de Duas Leis de Conservação
In this dissertation we describe the solutions to the Riemann problem for a system of two conservation laws written in the normal from according to classification of Schaeffer-Shearer in [9]. Through changes of variables Schaeffer-Shearer determined the normal form for a nonlinear system of two conservation laws with an isolated umbilical point in state spac
Publicado em: 2010
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10. Estimativas de auto-valores em subvariedades com curvatura mÃdia localmente limitada / Estimates of self-values on the mean curvature subvariedades locally limited
Apresentamos um mÃtodo para a obtenÃÃo de limites inferiores para o primeiro autovalor de Dirichlet em termos de campos vetoriais com divergÃncia positiva. Aplicando-o ao gradiente de uma funÃÃo distante, obtemos estimativas de de autovalor em bolas geodÃsicas em cut locus e dos domÃnios de subvariedades com curvatura mÃdia localmente limitada.Para
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 16/01/2009
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11. Hipersuperfícies regradas e de Weingarten no espaço hiperbólico / Ruled and Weingarten hypersurfaces in hyperbolic space.
Neste trabalho apresentamos uma classificação das hipersuperfícies regradas e de Weingarten no espaço hiperbólico.
Publicado em: 2009
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12. On the generalized nonlinear ultra-hyperbolic heatequation related to the spectrum
In this paper, we study the nonlinear equation of the form where is the ultra-hyperbolic operator iterated k-times, defined by Computational & Applied Mathematics. Publicado em: 2009