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Partial differential equations and applications to physics

Grant number: 17/03686-1
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): August 01, 2017
Effective date (End): December 06, 2019
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal researcher:Marta Cilene Gadotti
Grantee:Daniel Borin
Home Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil
Associated scholarship(s):17/16441-7 - Laplace equation and applications to physics, BE.EP.IC

Abstract

This project aims to introduce the basic theory of Partial Differential Equations (PDE) and to perform a study about Fourier Series, definition of Fourier Series, to build results that guarantee the point and uniform convergence and to define the Fourier Transform and its properties. Next, we define the Variable Separation Method to solve certain PDE. In particular, it is intended to work with certain physical phenomena described by this type of equation, such as Maxwell's equations, Poissom's and Laplace's and wave equation. (AU)

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