Differential equations applied to Physics

• Grant number: 24/05575-6
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: August 01, 2024
• End date: July 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Suzete Maria Silva Afonso
• Grantee: Kauã da Costa Silva
• Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil

Abstract

This project proposes the study of the basic theories of Ordinary and Partial Differential Equations, in addition to the study of their applications in Physics. More specifically, with this project, we intend to explore mathematical models that describe physical phenomena, in order to understand the role of Differential Equations and their importance in modeling real physical systems for predicting and interpreting their behavior. The mathematical theory necessary for such understanding must be addressed or revised.