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

• Grant number: 24/02048-5
• Support Opportunities: Regular Research Grants
• Start date: August 01, 2024
• End date: July 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Agreement: CNPq
• Principal Investigator: Marcelo José Dias Nascimento
• Grantee: Marcelo José Dias Nascimento
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Associated research grant: 22/16305-4 - Long-time dynamics of semilinear problems, AP.R
• Associated scholarship(s): 24/12782-8 - Uniform attractors for a family of nonautonomous semilinear evolution equation of second order, BP.JD

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)