Sökning: "Stokes theorem"

Hittade 3 uppsatser innehållade orden Stokes theorem.

  1. 1. Stokes' Theorem: Integration of Differential Forms Over Chains

    Kandidat-uppsats, KTH/Fysik

    Författare :Joel Wållberg; [2022]
    Nyckelord :Stokes theorem; Differential forms;

    Sammanfattning : The aim of this work is to introduce differential forms on Euclidean space. The theory of differential forms provides a way of abstracting integration by formalising differentials over which an integral can be taken. The work builds towards Stokes’ Theorem for which a proof is given. LÄS MER

  3. 2. Steady ideal flows with vorticity in toroidal domains and periodic cylinders

    Master-uppsats, Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten)

    Författare :Gustav Jillbratt; [2020]
    Nyckelord :Partial differential equations; Euler equation; Vorticity; Fluid dynamics; Mathematics and Statistics;

    Sammanfattning : In a paper from 1970, Lortz constructs rotational solutions to the steady Euler equation in toroidal domains using a fixed point method. We shall review this method and rewrite it using Banach's fixed point theorem. LÄS MER

  4. 3. Stokes' Theorem on Smooth Manifolds

    Kandidat-uppsats, Umeå universitet/Institutionen för matematik och matematisk statistik

    Författare :Erik Jörgenfelt; [2016]
    Nyckelord :;

    Sammanfattning : A proof of Stokes' theorem on smooth manifolds is given, complete with prerequisite results in tensor algebra and differential geometry. The essay assumes familiarity with multi-variable calculus and linear algebra, as well as a basic understanding of point-set topology. LÄS MER