German Jesus Lozada Cruz

• X Americas Conference on Differential Equations and Nonlinear Analysis, AR.EXT

• Abstract

  In this project study the approximation of semilinear parabolic equations through its discretization using the finite element method. We prove that the attractors of discretization they behave continuously when the step size tends to zero extending the results of Bruschi-Carvalho-Ruas-Filho (JDE 2000). We will also study the rate of convergence of the attractors in terms of the discretiza…

  Rate of convergence of attractors for the discretization of differential equations of parabolic type using the method of finite elements, AP.R

• Abstract

  Our aim in this research project is to give continuity to the study of the dynamics in dumbbell domains, particularly our interest is the study of teh continuity of the attractors, which was iniatiated during my doctorate. Our focus is the study of a parabolic problem with Nuemann bounary conditions in dumbbell-type domains Ω_ε consisting of two disconnected domains, that we w…

  Dynamics in Dumbbell domains: continuity of attractors, AP.R

• Abstract

  Our aim in the project is the fundamental of real analysis, in order to provide a deepening of knowledge in modern mathematics. In this way, the fellow will develop a solid foundation for his academic and professional life. (AU)

  Introduction to modern analysis, BP.IC

• Abstract

  The main goal of this project is to enable the student to build a consistent mathematical base, specifically in the area of Mathematical Analysis, in order to complement and improve their academic development. (AU)

  Lebesgue Integral and functional analysis, BP.IC

• Abstract

  The main goal is to study the Foundations of Real Analysis. We basically want the student to deepen her knowledge in mathematics, giving her a solid foundation to better develop her academic and professional lives.

  Introduction to modern analysis, BP.IC

(Only some records are available in English at this moment)

• Abstract

  In this proposal we study the asymptotic behavior of a reaction-diffusion equation with homogeneous Neumann boundary conditions in a dumbbell domain under the spatial discretization.

  Dynamics of reaction-diffusion equations in dumbbell domains under the spatial discretization, BE.PQ

• Abstract

  The aims of this project are the study of the pullback attractors for non-autonomous semilinear parabolic problem of second order. And compare these attractors resulting from discretization of PDEs by finite elements method. After this, we will analyze the structure of the pullback attractor and give a classification of them with regarding this because these are what determine its asympto…

  Asymptotic dynamics of non-autonomous parabolic problems under discretization. structure of attractors, BE.EP.PD

• Abstract

  Our main aim in this project is study the rate of convergence of eigenvalues of the Laplace operator in dumbbell domains with Neumann boundary conditions when the dimension of the domain is bigger than two and the eigenvalues are simple and when the dimension of teh domain is bigger or iqual two an the eigenvalues are multiple (AU)

  Operators spectral behavior in dumbbell domains, BE.PQ