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

(5)

(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.)

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)

ARRIETA, JOSE M.; CARVALHO, ALEXANDRE N.; MOREIRA, ESTEFANI M.; VALERO, JOSE. BIFURCATION AND HYPERBOLICITY FOR A NONLOCAL QUASILINEAR PARABOLIC PROBLEM. Advances in Differential Equations, v. 29, n. 1-2, p. 26-pg., 2024-01-01. (23/01225-8, 18/00065-9, 20/00104-4, 20/14075-6)

MOREIRA, ESTEFANI M.; VALERO, JOSE. The Existence of Isolating Blocks for Multivalued Semiflows. Journal of Dynamics and Differential Equations, v. 36, n. 4, p. 32-pg., 2024-01-19. (23/01225-8, 18/00065-9, 20/00104-4)

CARVALHO, ALEXANDRE N.; LAPPICY, PHILLIPO; MOREIRA, ESTEFANI M.; OLIVEIRA-SOUSA, ALEXANDRE N.. A unified theory for inertial manifolds, saddle point property and exponential dichotomy. Journal of Differential Equations, v. 416, p. 34-pg., 2024-10-31. (18/10633-4, 17/07882-0, 20/14075-6, 20/00104-4, 18/00065-9, 17/21729-0, 18/18703-1)

MOREIRA, ESTEFANI M.; VALERO, JOSE. THE INDEX THEORY FOR MULTIVALUED DYNAMICAL SYSTEMS WITH APPLICATIONS TO REACTION-DIFFUSION EQUATIONS WITH DISCONTINUOUS NONLINEARITY. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, v. 17, n. 3, p. 19-pg., 2023-11-23. (23/01225-8, 18/00065-9, 20/00104-4)