CV Lattes
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Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. Instituto de Biociências, Letras e Ciências Exatas (IBILCE) (Institutional affiliation from the last research proposal) Birthplace: Peru
He holds a bachelor's degree in ''Mathematical Sciences'' from the Universidad Nacional de Trujillo (2004), a degree in Mathematics from UNESP-IBILCE (2022), a master's degree in Mathematics from UNESP-IBILCE in São José do Rio Preto (2009), PhD in Mathematics from UNESP-IBILCE (2013). He held a postdoctoral degree at the University of Seville (2015) and a postdoctoral degree at UNESP-IBILCE (2016). He is currently a postdoctoral fellow at the Federal University of São Carlos (UFSCar). Has experience in the field of Mathematics with emphasis on the themes: semigroup theory and evolution processes, semilinear parabolic equation with Dirichlet conditions, global attractors and pullback, finite element discretization, continuity of global attractors and pullback, non-autonomous wave equations, fractional power operator equations, non-autonomous nonlinear Schrödinger equation. (Source: Lattes Curriculum)
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Our aim is to study the rate of continuity of pullback attractors appearing in thediscretization of the problem nonautonomous semilinear parabolic second order via the finite element method extending the results obtained in [21], [23], [24] and [25] whereit was studied the rate of continuity of attractors of autonomous semilinear parabolicproblem of second order.
In this project we will study the approximations of semilinear parabolic equations through its discretization using finite element method. We will prove the continuity of the attractors when step size of the discretization tends to zero extending the results of Bruschi-Carvalho-Ruas-Filho (JDE 2000). Also we will study the rate of convergence of the attractors in terms of the discretizati…
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…
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