Sobolev Spaces
Mostrando 1-12 de 13 artigos, teses e dissertações.
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1. Problemas estacionários para fluidos incompressíveis com uma lei de potência em domínios com canais ilimitados / Stationary problems for incompressible fluids with a power law in channels with unlimited domains
Neste trabalho estudamos o escoamento de fluidos viscosos não Newtonianos, modelados pelo sistema estacionário incompressível de Navier-Stokes obedecendo a uma Lei de Potência, em domínios com canais infinitos. Tratamos basicamente de dois tipos de domínios: domínios com canais cuja seção transversal é limitada e domínios com canais possuindo seç
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 05/08/2011
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2. O nÃcleo do calor em uma variedade riemanniana / The heat kernel on a Riemannian manifold
In a connected and compact Riemannian Manifold we will introduce the concept of spectre of Laplace operator. Using the existence and unicity of the heat kernel in Riemannian manifold we proof the Hodge composition theorem. This theorem states that the Hilbert space L2(M, g) decompose in direct sum of subspaces with finite dimesion, where each subspace is the
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 25/02/2011
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3. Hipoelipticidade global de campos vetoriais no toro TN
Neste trabalho, veremos que se o operador transposto de um campo vetorial real suave L definido no toro N-dimensional, visto como um operador diferencial linear com coeficientes em C1(TN), for globalmente hipoelíptico, então existe um campo vetorial com coeficientes constantes L0 tal que L e L0 são C1- conjugados, com tais constantes satisfazendo uma cond
Publicado em: 2010
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4. SOLUÇÕES FRACAS DE EQUAÇÕES DE FLUIDO EM MEIOS POROSOS
In this work we study equations that describe laminar flow through a rigid isotropic granular (non consolidated) porous medium subjected to a external force field. Firstly we present the meaning of the many phisical terms of the equation and some interpretation, also a general deduction of this equation is presented. Secondly, knowing the system porosity and
Publicado em: 2009
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5. Existence and stability of solutions of type solitary waves in equation Korteweg-de Vries (KdV) / Existência e estabilidade de Soluções do tipo ondas solitárias para a equação Korteweg-de Vries (KdV)
In this paper we demonstrate a theorem of Well-Posedness Local and followed by Well-Posedness Global Equation Korteweg-de Vries in Sobolev spaces by making use of conservation laws of this equation, the properties of the group associated with it, and some estimates obtained by Kenig , Ponce and Vega in [6]. We also demonstrated the existence and stability of
Publicado em: 2009
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6. Teorema de Hodge e aplicaÃÃes
O presente trabalho aborda um teorema classico de decomposiÃÃo do espaÃo das p-formas suaves sobre uma variedade Riemaniana compacta e orientada, conhecido como teorema da decomposiÃÃo de Hodge, assim como suas consequÃncias. No decorrer do mesmo, foi feita uma passagem por diversas ferramentas interessantes, como espaÃos Sobolev (capÃtulo 2) e EDP e
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 16/07/2008
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7. EQUAÇÕES DE NAVIER-STOKES: ASPECTOS FÍSICOS E SOLUÇÃO FRACA EM ESPAÇOS DE SOBOLEV
In this work, based on the Law of conservation of mass and the Newtons second Law, we deducted the equations of Navier-Stokes for the uncompressing fluids. Then we have developed in a detailed way the varying form of these equations. For this formulation, through the Galerkin method, we have proved the existence of weak solutions in Sobolev spaces in a bound
Publicado em: 2008
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8. SoluÃÃes globais e nÃo - globais de uma equaÃÃo parabÃlica nÃo - linear
We study the behaviour of solutions for the nonlinear heat equation with Dirichlet boundary conditions on a bounded subset of RN. We introduce the notion of weak solutions for this type of problem, and study the relation between such solutions and weak solutions for the associated stationary elliptic problem. Basic notions on Lebesgue spaces, Sobolev spaces,
Publicado em: 2008
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9. O problema de Cauchy para um sistema de equações do tipo Schrodinger não linear de terceira ordem / The Cauchy problem associated to a system of coupled third-order nonlinear Schrodinger equation
In this work we study the Cauchy problem associated to a system of coupled third-order nonlinear Schrodinger equation. We establish local well-posedness results for the problem with data in Sobolev spaces Hs(R) x Hs(R), s >or = 1/4 and in the periodic case Hs(T)xHs(T), s >or = 1/2. In the particular case ... Note: The complete abstract is available with the
Publicado em: 2007
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10. Real interpolation methods and Sobolev and Besov espaces on the Sd sphere / Metodos de interpolação real e espaços de Sobolev e Besov sobre a esfera Sd
The purpose of this work is to make a study about Besov?s spaces on the unit d-dimensional real sphere Sd. In the first chapter are studied spaces of interpolation using two real interpolation methods. In particular, are studied The Equivalence Theorem and The Reiteration Theorem for the J-method and the K-method. In the second chapter it is made a short stu
Publicado em: 2006
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11. O problema de Cauchy para a equação de Schrodinger não-linear não-local
ln this work we establish some properties of the nonlocal nonlinear Schrodinger equation (NLSNL). First of alI, we present a preliminary chapter with notations and basic theory used to establish our results; that part also seeks to facilitate the reading of this work. Soon afterwards comes the main result: local welI-posedness for the initial value problem (
Publicado em: 2005
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12. Approximate controllability for the semilinear heat equation in R N involving gradient terms
We prove the approximate controllability of the semilinear heat equation in R N, when the nonlinear term is globally Lipschitz and depends both on the state u and its spatial gradient Ñu. The approximate controllability is viewed as the limit of a sequence of optimal control problems. In order to avoid the difficulties related to th
Computational & Applied Mathematics. Publicado em: 2003