Assymptotic behavior of stochastic evolutionary equações

• Grant number: 22/00176-0
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: April 01, 2022
• End date: February 15, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Pedro Jose Catuogno
• Grantee: Alexandre do Nascimento Oliveira Sousa
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 20/04426-6 - Stochastic dynamics: analytical and geometrical aspects with applications, AP.TEM

Abstract

We intend to study the asymptotic behavior of stochastic evolution equations. More precisely, we will explore the following topics: the existence of attractors, the existence of invariant manifolds, the existence of hyperbolicity and the structural stability of attractors under disturbance. (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)