Gradient structure of skew product semiflows

• Grant number: 18/00065-9
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: April 01, 2018
• End date: February 28, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Alexandre Nolasco de Carvalho
• Grantee: Estefani Moraes Moreira
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated scholarship(s): 20/00104-4 - Comparison results between solutions of autonomous and non-autonomous problems: an investigation about existence of non-autonomos equilibria, BE.EP.DR

Abstract

The aim of this project of PhD degree is to extend the class of non-autonomous dynamical systems (arising from differential equations) for skew-product semigroups that have a dynamically gradient structure.

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)

LI, YANAN; CARVALHO, ALEXANDRE N.; LUNA, TITO L. M.; MOREIRA, ESTEFANI M.. A NON-AUTONOMOUS BIFURCATION PROBLEM FOR A NON-LOCAL SCALAR ONE-DIMENSIONAL PARABOLIC EQUATION. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v. 19, n. 11, p. 5181-5196, NOV 2020. (19/20341-3, 18/10997-6, 18/00065-9)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

MOREIRA, Estefani Moraes. Nonlocal quasilinear variations of the Chafee-Infante problem. 2023. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.