Uniform attractors for a family of nonautonomous semilinear evolution equation of second order

• Grant number: 24/12782-8
• Support Opportunities: Scholarships in Brazil - Support Program for Fixating Young Doctors
• Start date: August 01, 2024
• End date: July 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Agreement: CNPq
• Principal Investigator: Marcelo José Dias Nascimento
• Grantee: Vinicius Tavares Azevedo
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Associated research grant: 24/02048-5 - Uniform attractors for a family of nonautonomous semilinear evolution equation of second order, AP.R

Abstract

The research project deals with the study of asymptotic behavior in the forward sense of solutions for a family of second-order nonautonomous semilinear evolution equations with the objective of guaranteeing results of existence, regularity, upper semicontinuity and fractal dimension of uniform attractors for this class of equations. (AU)