Um estudo sobre a equação do calor

Abstract

This work presents a study on the investigation of heat, a fundamental mathematical model for the description of heat conduction. It begins with a conceptual review of differential equations and Fourier series, essential tools for solving the heat solution. Next, the mathematical formulation of the problem is addressed, including initial and boundary conditions, as well as the uniqueness of the solution. Using theorems and analytical methods, the existence and uniqueness of the discovery solution in different contexts is demonstrated. The study is based on classic bibliographies in the area, guaranteeing a specific theoretical basis. The results obtained for understanding the mathematical modeling of heat diffusion, being applicable in several areas of engineering and exact sciences