Search for dissertations about: "Jonatan Lenells"
Found 4 swedish dissertations containing the words Jonatan Lenells.
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1. Geometric Methods for some Nonlinear Wave Equations
Abstract : 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. READ MORE
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2. The defocusing nonlinear Schrödinger equation with step-like oscillatory data
Abstract : 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. READ MORE
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3. New Phenomena in the World of Peaked Solitons
Abstract : 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. READ MORE
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4. Riemann-Hilbert methods in general relativity and random matrix theory
Abstract : 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. READ MORE