Continuity of pullback attractors for nonauntonomous parabolic problems using the finite element method

• Grant number: 13/21155-2
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: February 01, 2014
• End date: October 31, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: German Jesus Lozada Cruz
• Grantee: Rodiak Nicolai Figueroa López
• 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
• Associated scholarship(s): 14/19915-1 - Asymptotic dynamics of non-autonomous parabolic problems under discretization. Structure of attractors, BE.EP.PD

Abstract

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.

Scientific publications

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

FIGUEROA-LOPEZ, R. N.; LOZADA-CRUZ, G.. Dynamics of parabolic equations via the finite element method I. Continuity of the set of equilibria. Journal of Differential Equations, v. 261, n. 9, p. 5235-5259, NOV 5 2016. (09/08088-9, 09/08435-0, 13/21155-2)

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)