Presenter(s)

    Meredith Ann McFarland

    Download

    Download Project (443 KB)

    Description

    The goal of this presentation is to show some properties of functions, defined on open domains of the Euclidean plane, that are solutions to particular partial differential equations which involve the Laplace operator. One important example is harmonic functions, which are solutions of the Laplace equation. The behavior of these functions, on bounded domains, encompass some interesting properties that are instrumental in several applications in physics and engineering.

    Publication Date

    4-22-2021

    Project Designation

    Capstone Project

    Primary Advisor

    Andres Larrain-Hubach

    Primary Advisor's Department

    Mathematics

    Keywords

    Stander Symposium project, College of Arts and Sciences

    The Laplace Operator on a Plane

    Share

    COinS