Study of non-autonomous semilinear parabolic and hyperbolic problems

• Grant number: 19/26841-8
• Support type: Regular Research Grants
• Duration: June 01, 2020 - May 31, 2022
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Marcelo José Dias Nascimento
• Grantee: Marcelo José Dias Nascimento
• Home Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Assoc. researchers: Flank David Morais Bezerra ; Karina Schiabel ; Vera Lucia Carbone

Abstract

The main objective of this project is to study autonomous and non-autonomous parabolic and hyperbolic semilinear problems. We are interested in obtaining results of existence of pullback attractors for several problems included in this class of semilinear problems. Whenever possible, we will study the robustness of these objects (attractors) in the sense of continuity of attractors. Additionally, we consider parabolic approximations of hyperbolic problems. (AU)