Navegando por Autor "Silva, Clessius"

Agora exibindo 1 - 3 de 3

Equação da onda: soluções de problemas de valores iniciais e de fronteira a partir da análise de Fourier
(2020-12-19) Lopes, Daniel César Pereira; Silva, Clessius; http://lattes.cnpq.br/2401078773322406; http://lattes.cnpq.br/0084883368794758
In this work, we will study the Wave Equation, an important equation in the study of Partial Differential Equations. We will work on problems involving the finite-string wave equation with fixed ends, the infinite string, and the semi-infinite string. However, to get to such problems, we will need to do a study about the Fourier Series, studying the convergence of such series, so we will need some Real Analysis. In addition, we will study some important inequalities such as: Bessel Inequality, Cauchy-Schwarz Inequality and Minkowski Inequality. For that, we have a basis for solving the EDP’s in question.
Sobre uma família de equações de Volterra provenientes da teoria viscoelástica
(2021-07-23) Silva, Matheus Henrique Severino da; Silva, Clessius; http://lattes.cnpq.br/2401078773322406; http://lattes.cnpq.br/0142680745727308
Using Functional Analysis and Topology tools, we study equations that describe the velocity field of a three-dimensional incompressible, homogeneous, isotropic viscoelastic fuid. To guarantee the existence and mild solution of the proposed problem, the behavior of the solving family associated with the Stokes operator in fractional power spaces was studied.
O Teorema de Baire e suas aplicações na Análise Funcional
(2019-07-29) Albuquerque, Anne Caroline Carneiro de; Silva, Clessius; http://lattes.cnpq.br/2401078773322406; http://lattes.cnpq.br/5028414803312146
In this work, we will present the applications of Baire’s Theorem to Functional Analysis, more specifically to the classic results of this area, Banach Steinhaus Theorem, Open Application Theorem and Closed Graph Theorem.