A study of structural stability for random attractors

• Grant number: 18/10633-4
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: March 01, 2019
• End date: February 29, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Alexandre Nolasco de Carvalho
• Grantee: Alexandre do Nascimento Oliveira Sousa
• Supervisor: José A. Langa
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: Universidad de Sevilla (US), Spain
• Associated to the scholarship: 17/21729-0 - A study about structural stability of atrators for random dynamical systems, BP.DR

Abstract

We study stochastic evolution equations, which are be obtain by perturbations with noises, autonomous evolution equations. We are interested in the asymptotic behavior of dresses equations and we search for results that a allow us to compare the autonomous problem with the stochastic problem obtain by perturbation. (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)

CARABALLO, TOMAS; LANGA, JOSE A.; CARVALHO, ALEXANDRE N.; OLIVEIRA-SOUSA, ALEXANDRE N.. Continuity and topological structural stability for nonautonomous random attractors. Stochastics and Dynamics, v. 22, n. 07, p. 28-pg., 2022-07-26. (20/14075-6, 17/21729-0, 22/00176-0, 18/10633-4)

CARABALLO, TOMAS; CARVALHO, ALEXANDRE N.; LANGA, JOSE A.; OLIVEIRA-SOUSA, ALEXANDRE N.. Permanence of nonuniform nonautonomous hyperbolicity for infinite-dimensional differential equations. ASYMPTOTIC ANALYSIS, v. 129, n. 1, p. 27-pg., 2022-01-01. (18/10633-4, 17/21729-0, 18/10997-6)

CARABALLO, TOMAS; CARVALHO, ALEXANDRE N.; LANGA, JOSE A.; OLIVEIRA-SOUSA, ALEXANDRE N.. The effect of a small bounded noise on the hyperbolicity for autonomous semilinear differential equations. Journal of Mathematical Analysis and Applications, v. 500, n. 2, p. 27-pg., 2021-03-15. (18/10997-6, 18/10633-4, 17/21729-0)