Asymptotic analysis of differential equations in singularly perturbed domains

• Grant number: 23/03847-6
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date: September 01, 2023
• End date: August 31, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Marcone Corrêa Pereira
• Grantee: Jean Carlos Nakasato
• Supervisor: Shuichi Jimbo
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Institution abroad: Hokkaido University, Japan
• Associated to the scholarship: 22/08112-1 - Boundary perturbation problems on partial differential equations, BP.PD

Abstract

In this research statement, we present a brief description of my research proposal thought for a post doctoral position in Hokkaido University. We will see that this proposal main focus is the study of qualitative and quantitative questions related to Asymptotic Analysis and Singular Perturbation of Domains in phenomenas modeled by Partial Differential Equations. (AU)