Comparison results between solutions of autonomous and non-autonomous problems: an investigation about existence of non-autonomos equilibria

• Grant number: 20/00104-4
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: November 01, 2020
• End date: October 31, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Alexandre Nolasco de Carvalho
• Grantee: Estefani Moraes Moreira
• Supervisor: José Valero Cuadra
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: Universidad Miguel Hernández, Elche (UMH), Spain
• Associated to the scholarship: 18/00065-9 - Gradient structure of skew product semiflows, BP.DR

Abstract

In this project, we are interested in finding non-autonomous equilibria and studying properties of stability and hyperbolicity related to those solutions aiming at characterizing the asymptotic dynamic of non-autonomous problems. (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)

CARVALHO, ALEXANDRE N.; MOREIRA, ESTEFANI M.. Stability and hyperbolicity of equilibria for a scalar nonlocal one-dimensional quasilinear parabolic problem. Journal of Differential Equations, v. 300, p. 312-336, NOV 5 2021. (20/00104-4, 18/00065-9, 18/10997-6)