Sökning: "Liouville equation"

Hittade 2 uppsatser innehållade orden Liouville equation.

  1. 1. Liouville’s equation on simply connected domains

    Kandidat-uppsats, Uppsala universitet/Algebra och geometri

    Författare :Patrik Deigård; [2020]
    Nyckelord :;

    Sammanfattning : .... LÄS MER

  3. 2. Bäcklund transformations for minimal surfaces

    Master-uppsats, Linköpings universitet/Matematik och tillämpad matematik; Linköpings universitet/Tekniska fakulteten

    Författare :Per Bäck; [2015]
    Nyckelord :Bäcklund transformations; Liouville equation; minimal surfaces; Ribaucour transformations; Thybaut transformations.;

    Sammanfattning : In this thesis, we study a Bäcklund transformation for minimal surfaces - surfaces with vanishing mean curvature - transforming a given minimal surface into a possible infinity of new ones. The transformation, also carrying with it mappings between solutions to the elliptic Liouville equation, is first derived by using geometrical concepts, and then by using algebraic methods alone - the latter we have not been able to find elsewhere. LÄS MER