Asymptotic dynamics of non-autonomous parabolic problems under discretization. structure of attractors

• Grant number: 14/19915-1
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date: November 01, 2014
• End date: July 31, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: German Jesus Lozada Cruz
• Grantee: Rodiak Nicolai Figueroa López
• Supervisor: José Antonio Langa Rosado
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil
• Institution abroad: Universidad de Sevilla (US), Spain
• Associated to the scholarship: 13/21155-2 - Continuity of pullback attractors for nonauntonomous parabolic problems using the finite element method, BP.PD

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 asymptotic dynamics. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

ARAGAO-COSTA, E. R.; FIGUEROA-LOPEZ, R. N.; LANGA, J. A.; LOZADA-CRUZ, G.. Topological Structural Stability of Partial Differential Equations on Projected Spaces. Journal of Dynamics and Differential Equations, v. 30, n. 2, p. 687-718, JUN 2018. (14/02899-3, 15/24095-6, 14/19915-1, 13/21155-2, 09/08435-0)