Sökning: "Jonatan Lenells"

Hittade 4 avhandlingar innehållade orden Jonatan Lenells.

  1. 1. Geometric Methods for some Nonlinear Wave Equations

    Författare :Jonatan Lenells; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Natural science; Geodesic flow; Nonlinear wave equations; Geometric methods; Naturvetenskap;

    Sammanfattning : A number of results related to the geometric interpretation of some dispersive nonlinear wave equations are presented. It is first described how some well-known shallow water equations arise geometrically as Euler equations for the geodesic flow on the Virasoro group endowed with certain right-invariant metrics. LÄS MER

  2. 2. The defocusing nonlinear Schrödinger equation with step-like oscillatory data

    Författare :Samuel Fromm; Jonatan Lenells; Alexander Tovbis; KTH; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; Matematik; Mathematics;

    Sammanfattning : The thesis at hand consists of three papers as well as an introductory chapter and a summary of results. The topic of the thesis is the study of the defocusing nonlinear Schrödinger equation with step-like oscillatory data. LÄS MER

  3. 3. New Phenomena in the World of Peaked Solitons

    Författare :Marcus Kardell; Hans Lundmark; Stefan Rauch; Joakim Arnlind; Jonatan Lenells; Linköpings universitet; []

    Sammanfattning : The aim of this work is to present new contributions to the theory of peaked solitons. The thesis consists of two papers,which are named “Newsolutionswith peakon creation in the Camassa–HolmandNovikov equations” and “Peakon-antipeakon solutions of the Novikov equation” respectively. LÄS MER

  4. 4. Riemann-Hilbert methods in general relativity and random matrix theory

    Författare :Julian Mauersberger; Jonatan Lenells; Tom Claeys; KTH; []

    Sammanfattning : This thesis focuses on problems in general relativity and random matrix theory that can be solved by means of Riemann-Hilbert techniques. The first part of the thesis is dedicated to solving boundary value problems related to colliding plane waves in vacuum in general relativity. LÄS MER